sound travel liquids

How Sound Travels Through Solids, Liquids and Gases

• August 13, 2022

We love to work with sound. Many of us record our own music, podcast, or other forms of sound. Knowing how sound travels through different mediums will allow you to have better control over the sound that you generate. That is what we will be looking at today. How does sound travel through solids, liquids, and gases? 

Can the way that you produce sound and the medium that it moves in make a difference in the volume that you will hear? How does this change when it comes to the different mediums? Will the furniture in a room have any impact on the acoustics of the room? How can you change it to create the perfect recording environment? 

These are just some of the things that we will discuss today. Knowing how sound travels through solids, liquids and gases are not only interesting, but it can have an impact on the way we record sounds and how we change things up. 

Why Is the Way That Sound Travels Through Mediums Important? 

One of the main reasons why it is important to understand how sound acts, is that when you understand something better, you can control it. As a youngster, I loved swimming. I still do. But one of my main attractions was that underneath the water it was the one place where everything went quiet. It always felt like the world stopped and it was just me and complete calm. 

I loved my family but there was always so much going on that it was just a great place to just be with my own imagination and thoughts. I could make up imaginary worlds and people, and have millions of stories running through my mind. All because there was a lack of sound under the water. 

But in reality, when you look at how sound behaves in a liquid, scientifically, this should not be the case. In fact, there should be more sound under the water than there is in the fresh air. Why? And why doesn’t it work that way? I wanted to find out. 

For many of us who record sound, it is important to be connected to it. If you understand what makes something sound fuller, what makes a noise loud, and how things act, you can have better control and your recording will end up being closer to what you intended in the first place. 

You might be recording a podcast, but for some reason, your voice keeps sounding muffled, understanding sound can help you identify what the cause could be and how you can fix it. 

What Is Sound? 

To understand why sound acts differently in different mediums we first have to understand what sound is. 

First, you need to know that sound can not exist in a void. This is different from light that does travel through nothingness. That is why we can see light shining from space where there is a void and no atmosphere. But those that have been to space say it is completely quiet. It must be an almost eerie feeling. 

Sound happens when something creates a vibration. This is done through musical instruments, our voices, speakers, and many other things. This then causes the medium around it, like the water or the air, to also vibrate and carry this sound with them. Without a medium, sound would not exist. That is because the molecules of the medium react and bump into those next to it and this allows the sound to travel on. 

At the same time, the medium that is used will determine just how loud the sound will be, it will also determine how far can travel and how the sound will generally react. This is because different solutions will have molecules that are more or less densely packed. 

Your surroundings will have a big impact. People who create a sound studio try to make the acoustics of the room as powerful as possible. This should help you do that. 

Let us now look at the three mediums that sound can travel through, solids, liquids, and gases, and how they change the reaction of the sound. 

First up we can look at gasses. You might wonder why gasses are mentioned when speaking of mediums that sound can move in. You may be visualizing a bunch of fog at a concert that makes the lights look incredible and makes the crowd go wild. 

And that is one possibility of gasses that can be used as a medium for sound to travel through. But most of the time, our air is the only gas that sound needs to continue its vibration. 

What Is the Air Made Of? 

We have already mentioned that sound can not exist in a void. But we can hear each other when we speak out in the open. We can hear music when it is being played under the starry sky and we can even hear kids shouting in a park a block away . 

That is because most of the air in our atmosphere is made up of gasses. Our atmosphere is not just a void, or we wouldn’t be able to live here anyway, but is made up of lots of gasses we can’t see. The atmosphere is made up of 78% Nitrogen, and 21% Oxygen, and the rest is a mixture of carbon dioxide, neon, and hydrogen. 

This gives us all the ability to breathe without needing a space suit, but it also gives sound the ability to travel in our atmosphere. We make a vibration and the molecules of the gases that we can’t even see start to bump into each other and takes that vibration further, making it possible for us to hear sounds. It is pretty amazing when you think about it. 

How Does Sound Travel Through Gases? 

Gas is the medium that will have the slowest speed of sound of all of them. This is because the molecules of the gases surrounding us are expanded and far away from each other. The vibrations do get passed over to each other but it takes longer to do. 

This is also why we often need things that can amplify our sounds like a microphone when we are speaking to a bigger group of people. These help us to make the vibrations bigger and to allow them to travel further than we would have been able to achieve with only our voice. 

Some Things That Can Influence Sound in Gases 

Have you ever felt that things are so much quieter after a big snowstorm? How the world seems almost different then? Turns out it might not just be your imagination. This is because the volume and speed of sound can be impacted by the temperature of the air and in turn the gas that is surrounding us. 

At lower temperatures, the molecules move around quicker and they can vibrate quicker. The energy behind the sound can start to be lost and the sound will become quieter or be lost faster. 

At normal room temperatures, the speed of sound will be a lot higher than it would be in the exact same room when the temperature is at freezing. 

There are many different liquids that have a higher or lower density but for the most part, it is in water where we would be interested in hearing a sound. If we go swimming or put a small portable speaker close to the water, we would like to hear the sound as loud as possible. But it just doesn’t always work like that. 

Let’s see how sound reacts in water or other liquids. 

Sound In Water 

The molecules in water are a lot more tightly packed than it is in gas. That is why sound travels much faster in water than it would travel in the air. Sound can actually travel in water almost four times faster than it can be in the air. 

That is really impressive. And still, if you submerge your head underwater, you will hear the sound but it might sound muffled and not quite like the sound that you are used to. 

Why Humans Hear Muffled Sounds in Water 

The water molecules are more tightly packed and the energy that it uses to carry sound is transported faster. In theory, you should be able to hear noises a lot louder when you are underwater. But that is not how we perceive this sound. 

This is because our ears are created to listen to sounds in the air. We pick up on sounds through our ear canal and these sounds are then transported to the brain that makes sense of it all. When you only submerge your ears, sounds will sound very muffled since the ears can’t take these sounds along the ear canal. 

When you submerge your head fully suddenly the sound is clearer and louder. Although it could still be somewhat muffled compared to outside the water. Our heads contain a lot of water, and inside the water, it will be our tissue that picks up on the sound and detects it. 

You could try to plug your ears but it will have very little effect on the volume of the noise under the water. The sound is not traveling along those normal lines. 

At the same time, chances are that it is also very hard and almost impossible for you to figure out from which direction the sound is coming. When the sound travels along the normal route our brain has cues to determine if it comes from behind us or in front. But when the sound does not travel in those normal routes the brain has no way of telling us where it is coming from. 

For humans communicating through sound under the water is not so easy. That is why divers have always used hand signals to communicate with their diving partners and why some have even started to use microphones that connect them. Allowing for a much better communication route. 

We know that we can’t hear sound in the same way when we are inside water as when we are in the air. But what happens when we make a big sound inside the water, like shouting? Will someone that is on the outside be able to hear it clearly? 

This is unlikely. That is because the surface of the water almost acts as a mirror for sound. Instead of the vibration moving outside of the water it gets reflected back. Making sure that very little sound is heard outside. 

Animals In Water 

Our ears might be designed to hear in air, but fish and mammals that live in the ocean can take advantage of the speed of sound inside the water. They are adapted to hearing noise completely clearly inside the water. 

Since sound does travel quickly in water and they can hear it, they can use sounds to communicate over much larger distances than we are able to do with just our voice. Whales, for example, have been known to use their voice to communicate with other whales over massive distances in the ocean. The sound of a humpback whale can travel thousands of miles in the ocean.  It also helps that the vibrations they can create are much larger than the ones our own vocal cords can produce. 

Then finally there are solids and how sound reacts when they come into contact with a solid. Since sound starts to get muffled when there are a lot of solid objects in its path you would think that it travels a lot slower in solids. But surprisingly that is not the case. There are however reasons why it reacts in this way. 

The Speed of Sound in Solids 

A solid object is densely packed with its molecules. Each solid object will be a little bit different from the other depending on the material it is made of and how densely packed its molecules are. There are some materials that will work better as insolation to noise than others, but we will discuss the reason for this shortly. But for the most part, sound will travel a lot faster in solids than it will in both liquids and gasses.

This is because the source of the sound will create the vibration in the molecules of the sound and then these tightly packed molecules will quickly send the vibration further along. This means that the speed of sound is a lot faster when traveling in a solid object and that it will be a lot louder too. 

Often a solid object will be a good source of amplification for a sound that you would like to enhance. The sound through a brass bugle gets enhanced through the design of the object and also through the material it is made of.

Examples Of Sounds in Solids 

It can be hard to think of examples where solid objects are used to move sound and make it louder. Let’s discuss some simple examples of this. 

You can put an ear to a solid object like a table and then make a soft tapping sound on the table. Compare how you heard it when your ear is on the solid compared to how loud it is when you hear the sound through the air. You will be surprised by how clearly the sound is enhanced by listening to it through a solid object. 

Another great example of an experiment that many of us probably unknowingly did as children is a string telephone. You take two cups and a long line of string. The two cups are each connected to one side of the string, one person listens into one cup while another speaks into the cup at their end. 

In this experiment, the vibrations are created and enhanced by the shape of the cup. Then these vibrations are transferred with the help of a solid object, the string, and the other person can hear your message at the other end of the string. Without raising your voice or shouting. 

It is always amazing to see just how far this simple design can carry sound. Fun fact, the world record for the longest-ever string telephone, which was made with tin cans, was a whopping 796 feet long. That is almost the distance of three football fields. That is a long way for a piece of string and two cups to carry sound. 

Then another great example of a sound being a lot louder when it is carried through a solid object is sounds that you can hear in the air. For example, hearing the sound of a horse coming closer, its hooves beating down on the ground. 

It is already a pretty impressive sound when you hear it in normal circumstances. But try putting your head to the ground and listening to the approach in that way. The sound is much louder and you can almost feel the vibrations that are making the sound you hear. 

Why Does Sound Get Muffled Through a Door? 

We know now that sound travels much faster through solid objects than it does through gasses or liquids. You would think that a solid object like a wall or a door will enhance the sound but the opposite is true. A sound that is coming from a different room is more muffled. 

If there is a lot of noise outside your home, for example, the neighbors having a party, it works to close the doors and windows and the sound won’t bother you as much. Even if you only have standard windows and doors. 

How does that work? It works because the sound you are hearing does not originate from inside a solid object. It traveled through the air until it came to your door. There it encountered a solid object. And instead of making the vibrations louder this change in medium made the sound lose some of the energy that it was traveling with. This reduces the level of the noise and makes it less noticeable when there are doors that are closed. 

Why Rooms Echo 

This change in energy is also one of the reasons why a room will or won’t echo. When you go into an empty room there is a good chance that you can create an echo. That is because the empty room has no solid objects that break the energy of the noise down and stop it. 

The vibrations bump only against the walls and reflect back. If you have a room that is still echoing even after your furniture has been installed, then there might not be enough solid objects that stop the speed and the energy of the sound. Something like a carpet that can absorb the vibration can help to stop the echo in the room. 

How Sound Travels Through Solids, Liquids, and Gases 

Sound needs a medium that can take the vibrations and move them along, allowing us to hear the sounds that are being created. 

When it comes to the speed of sound, a solid object will allow the vibration to move much faster since it has the most densely packed molecules. It will also make the sound the loudest. After solids, liquids have the highest speed of sound. And then finally gas, that included our air since it is made up of gasses. 

When a sound is traveling through one medium like air and then encounters another, like a solid door, it loses some of its energy and some of the volume will be lost. That is why solid insulation against sound is still one of the best options despite solids being a good conductor of sound. 

We might not be able to take full advantage of the high speed of sound that can be found inside a liquid, but those living in the ocean sure can and that is why whale sounds can travel thousands of miles under the water. 

Knowing how sound reacts to different mediums will allow us to understand it better. And that means that you should have better control over your recordings and all the ways that you like to create your own very unique sounds.

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by Chris Woodford . Last updated: July 23, 2023.

Photo: Sound is energy we hear made by things that vibrate. Photo by William R. Goodwin courtesy of US Navy and Wikimedia Commons .

What is sound?

Photo: Sensing with sound: Light doesn't travel well through ocean water: over half the light falling on the sea surface is absorbed within the first meter of water; 100m down and only 1 percent of the surface light remains. That's largely why mighty creatures of the deep rely on sound for communication and navigation. Whales, famously, "talk" to one another across entire ocean basins, while dolphins use sound, like bats, for echolocation. Photo by Bill Thompson courtesy of US Fish and Wildlife Service .

Robert Boyle's classic experiment

Artwork: Robert Boyle's famous experiment with an alarm clock.

How sound travels

Artwork: Sound waves and ocean waves compared. Top: Sound waves are longitudinal waves: the air moves back and forth along the same line as the wave travels, making alternate patterns of compressions and rarefactions. Bottom: Ocean waves are transverse waves: the water moves back and forth at right angles to the line in which the wave travels.

The science of sound waves

Picture: Reflected sound is extremely useful for "seeing" underwater where light doesn't really travel—that's the basic idea behind sonar. Here's a side-scan sonar (reflected sound) image of a World War II boat wrecked on the seabed. Photo courtesy of U.S. National Oceanographic and Atmospheric Administration, US Navy, and Wikimedia Commons .

Whispering galleries and amphitheaters

Photos by Carol M. Highsmith: 1) The Capitol in Washington, DC has a whispering gallery inside its dome. Photo credit: The George F. Landegger Collection of District of Columbia Photographs in Carol M. Highsmith's America, Library of Congress , Prints and Photographs Division. 2) It's easy to hear people talking in the curved memorial amphitheater building at Arlington National Cemetery, Arlington, Virginia. Photo credit: Photographs in the Carol M. Highsmith Archive, Library of Congress , Prints and Photographs Division.

Measuring waves

Understanding amplitude and frequency, why instruments sound different, the speed of sound.

Photo: Breaking through the sound barrier creates a sonic boom. The mist you can see, which is called a condensation cloud, isn't necessarily caused by an aircraft flying supersonic: it can occur at lower speeds too. It happens because moist air condenses due to the shock waves created by the plane. You might expect the plane to compress the air as it slices through. But the shock waves it generates alternately expand and contract the air, producing both compressions and rarefactions. The rarefactions cause very low pressure and it's these that make moisture in the air condense, producing the cloud you see here. Photo by John Gay courtesy of US Navy and Wikimedia Commons .

Why does sound go faster in some things than in others?

Chart: Generally, sound travels faster in solids (right) than in liquids (middle) or gases (left)... but there are exceptions!

How to measure the speed of sound

Sound in practice, if you liked this article..., find out more, on this website.

• Electric guitars
• Speech synthesis
• Synthesizers

On other sites

• Explore Sound : A comprehensive educational site from the Acoustical Society of America, with activities for students of all ages.
• Sound Waves : A great collection of interactive science lessons from the University of Salford, which explains what sound waves are and the different ways in which they behave.

Educational books for younger readers

• Sound (Science in a Flash) by Georgia Amson-Bradshaw. Franklin Watts/Hachette, 2020. Simple facts, experiments, and quizzes fill this book; the visually exciting design will appeal to reluctant readers. Also for ages 7–9.
• Sound by Angela Royston. Raintree, 2017. A basic introduction to sound and musical sounds, including simple activities. Ages 7–9.
• Experimenting with Sound Science Projects by Robert Gardner. Enslow Publishers, 2013. A comprehensive 120-page introduction, running through the science of sound in some detail, with plenty of hands-on projects and activities (including welcome coverage of how to run controlled experiments using the scientific method). Ages 9–12.
• Cool Science: Experiments with Sound and Hearing by Chris Woodford. Gareth Stevens Inc, 2010. One of my own books, this is a short introduction to sound through practical activities, for ages 9–12.
• Adventures in Sound with Max Axiom, Super Scientist by Emily Sohn. Capstone, 2007. The original, graphic novel (comic book) format should appeal to reluctant readers. Ages 8–10.

Popular science

• The Sound Book: The Science of the Sonic Wonders of the World by Trevor Cox. W. W. Norton, 2014. An entertaining tour through everyday sound science.

Academic books

• Master Handbook of Acoustics by F. Alton Everest and Ken Pohlmann. McGraw-Hill Education, 2015. A comprehensive reference for undergraduates and sound-design professionals.
• The Science of Sound by Thomas D. Rossing, Paul A. Wheeler, and F. Richard Moore. Pearson, 2013. One of the most popular general undergraduate texts.

Text copyright © Chris Woodford 2009, 2021. All rights reserved. Full copyright notice and terms of use .

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Sound – visualising sound waves.

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Sound is a form of energy that is caused by the vibration of matter. Sound is transmitted through waves, which travel through solids, liquids and gases. We are most used to the sound travelling through air, but sound is able to travel faster and further in solids and liquids .

‘Seeing’ sound

If we could see the molecules that make up the air around us, we would see sound as a series of more and less dense areas of air that are moving away from the source of the sound at about 340 metres per second. We say sound is a wave because the air molecules move back and forth while the sound travels along. The air behaves much like a longitudinal or compression wave on a spring.

It is difficult to draw compression waves , so waves are generally represented as transverse waves for simplicity. The dense areas of the compression wave are the peaks of the transverse wave and the sparse areas are the troughs.

Microphone – transforming sound energy into electrical energy

In order to visualise a sound wave, we can use a microphone to transform sound energy into electrical energy. A simple microphone is made up of a very thin membrane with a coil of very fine wire attached. A magnet is positioned so that it is just inside the coil of wire but not touching it. When a sound wave strikes the membrane , it jiggles (vibrates) back and forth because of the high and low pressure areas of the wave. This causes the coil to jiggle, and when a coil moves in a magnetic field, an electrical current is produced. If we look at the electrical current using an oscilloscope, we can see the sound as a series of peaks and troughs.

The sound from single pitch or note will make a simple sine wave on the screen. The wave will change as you change the volume or pitch of the note.

Related content

This article is part of an article series :

• Sound – understanding standing waves
• Sound – resonance
• Sound – wave interference
• Sound – beats, the Doppler effect and sonic booms

with the accompanying investigations:

• Measuring the speed of sound
• Investigating sound wave resonance

Additional articles and activity ideas

Find out more about studying sound under water and read about what is needed for sound to be heard , and how sound travels through water to understand some of the key science concepts.

Investigating waves and energy uses slinkies to explore longitudinal and transverse waves.

Make and use a hydrophone explains how to construct an underwater microphone.

Sound on an oscilloscope uses a computer’s microphone to create a visual display.

The PLD article Physical World – Sound curates Hub resources for the early years through to year 10.

Visit the sound topic for additional resources.

See our newsletters here .

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This survey will open in a new tab and you can fill it out after your visit to the site.

Want to create or adapt books like this? Learn more about how Pressbooks supports open publishing practices.

Traveling waves

17 How sound moves

Speed of sound.

There’s a delay between when a sound is created and when it is heard. In everyday life, the delay is usually too short to notice. However, the delay can be noticeable if the distance between source and detector is large enough. You see lightning before you hear the thunder. If you’ve sat in the outfield seats in a baseball stadium, you’ve experienced the delay between seeing the player hit the ball and the sound of the “whack.” Life experiences tell us that sound travels fast, but not nearly as fast as light does. Careful experiments confirm this idea.

The speed of sound in air is roughly 340 m/s. The actual value depends somewhat on the temperature and humidity. In everyday terms, sound travels about the length of three and a half foot ball fields every second- about 50% faster than a Boeing 747 (roughly 250 m/s). This may seem fast, but it’s tiny compared to light, which travels roughly a million times faster than sound (roughly 300,000,000 m/s).

Sound requires some material in which to propagate (i.e. travel). This material sound travels through is called the medium . You can show that sound requires a medium by putting a cell phone inside a glass jar connected to a vacuum pump. As the air is removed from the jar, the cell phone’s ringer gets quieter and quieter. A youTube video (2:05 min) produced by the UNSW PhysClips project shows the demo with a drumming toy monkey [1] instead of a cell phone.

What affects the speed of sound?

Sound travels at different speeds though different materials. The physical properties of the medium are the only factors that affect the speed of sound- nothing else matters.

The speed of sound in a material is determined mainly by two properties- the stiffness of the material and the density of the material. Sound travels fastest through materials that are stiff and light. In general, sound travels fastest through solids, slower through liquids and slowest through gasses. (See the table on this page). This may seem backwards- after all, metals are quite dense. However, the high density of metals is more than offset by far greater stiffness (compared to liquids and solids).

The speed of sound in air depends mainly on temperature. The speed of sound is 331 m/s in dry air at 0 o Celsius and increases slightly with temperature- about 0.6 m/s for every 1 o Celsius for temperatures commonly found on Earth. Though speed of sound in air also depends on humidity, the effect is tiny- sound travels only about 1 m/s faster in air with 100% humidity air at 20 o C than it does in completely dry air at the same temperature.

Nothing else matters

The properties of the medium are the only factors that affect the speed of sound- nothing else matters.

Frequency of the sound does not matter- high frequency sounds travel at the same speed as low frequency sounds. If you’ve ever listened to music, you’ve witnessed this-  the low notes and the high notes that were made simultaneously reach you simultaneously, even if you are far from the stage. If you’ve heard someone shout from across a field, you’ve noticed that the entire shout sound (which contains many different frequencies at once) reaches you at the same time. If different frequencies traveled at different rates, some frequencies would arrive before others.

The amplitude of the sound does not matter- loud sounds and quiet ones travel at the same speed. Whisper or yell- it doesn’t matter. The sound still takes the same amount of time to reach the listener.  You’ve probably heard that you can figure out how far away the lightning by counting the seconds between when you see lightning and hear thunder. If the speed of sound depended on loudness, this rule of thumb would have to account for loudness- yet there is nothing in the rule about loud vs. quiet thunder. The rule of thumb works the same for all thunder- regardless of loudness . That’s because the speed of sound doesn’t depend on amplitude.

Stop to thinks

• Which takes longer to cross a football field: the sound of a high pitched chirp emitted by a fruit bat or the (relatively) low pitched sound emitted by a trumpet?
• Which sound takes longer to travel 100 meters: the sound of a snapping twig in the forest or the sound of a gunshot?
• Which takes longer to travel the distance of a football field: the low pitched sound of a whale or the somewhat higher pitched sound of a human being?

Constant speed

Sound travels at a constant speed. Sound does not speed up or slow down as it travels (unless the properties of the material the sound is going through changes). I know what you’re thinking- how is that possible? Sounds die out as they travel, right? True. That means sounds must slow down and come to a stop, right? Wrong. As sound travels, its amplitude decreases- but that’s not the same thing as slowing down. Sound (in air) covers roughly 340 meters each and every second, even as its amplitude shrinks. Eventually, the amplitude gets small enough that the sound is undetectable. A sound’s amplitude shrinks as it travels, but its speed remains constant.

The basic equation for constant speed motion (shown below) applies to sound.

[latex]d=vt[/latex]

In this equation, [latex]d[/latex] represents the distance traveled by the sound, [latex]t[/latex] represents the amount of time it took to go that distance and [latex]v[/latex] represents the speed.

Rule of thumb for lightning example

Example: thunder and lightning.

The rule of thumb for figuring out how far away a lightning strike is from you is this:

Count the number of seconds between when you see the lightning and hear the thunder. Divide the number of seconds by five to find out how many miles away the lightning hit.

According to this rule, what is the speed of sound in air? How does the speed of sound implied by this rule compare to 340 m/s?

Identify important physics concept :   This question is about speed of sound.

List known and unknown quantities (with letter names and units):

At first glance, it doesn’t look like there’s enough information to solve the problem. We were asked to find speed, but not given either a time or a distance. However, the problem does allow us to figure out a distance if we know the time- “Divide the number of seconds by five to find out how many miles away the lightning hit.” So, let’s make up a time and see what happens; if the time is 10 seconds, the rule of thumb says that the distance should be 2 miles.

[latex]v= \: ?[/latex]

[latex]d=2 \: miles[/latex]

[latex]t=10 \: seconds[/latex]

You might ask “Is making stuff up OK here?” The answer is YES! If the rule of thumb is right, it should work no matter what time we choose. (To check if the rule is OK, we should probably test it with more than just one distance-time combination, but we’ll assume the rule is OK for now).

Do the algebra:  The equation is already solved for speed. Move on to the next step.

Do unit conversions (if needed) then plug in numbers:  If you just plug in the numbers, the speed comes out in miles per second:

[latex]v = \frac{2 \: miles} {10 \: seconds}=0.2 \: \frac{miles} {second}[/latex]

We are asked to compare this speed to 340 m/s, so a unit conversion is in order; since there are 1609 meters in a mile:

[latex]v =0.2 \: \frac{miles} {second}*\frac{1609 \: meters} {1 \:mile}=320 \frac{m}{s}[/latex]

Reflect on the answer:

• The answer for speed from the rule of thumb is less than 10% off the actual value of roughly 340 m/s- surprisingly close!
• At the beginning, we assumed a time of 10 seconds. Does the result hold up for other choices? A quick check shows that it does! For instance, if we use a time of 5 seconds, the rule of thumb gives a distance of 1 mile, and the math still gives a speed of 0.2 miles/second. The speed will be the same no matter what time we pick. The reason is this:  The more time it takes the thunder to arrive, the farther away the lightning strike is, but the speed remains the same. In the equation for speed, both time and distance change by the same factor and the overall fraction remains unchanged.

Stop to think answers

• Both sounds take the same amount of time. (High and low pitched sounds travel at the same speed).
• Both sounds take the same amount of time. (Quiet sounds and loud sounds travel at the same speed).
• The sound of the whale travels the distance in less time- assuming sound from the whale travels in water and sound from the human travels in air. Sound travels faster in water than in air. (The info about frequency was given just to throw you off- frequency doesn’t matter).
• Wolfe, J. (2014, February 20). Properties of Sound. Retrieved from https://www.youtube.com/watch?v=P8-govgAffY ↵

Understanding Sound Copyright © by dsa2gamba and abbottds is licensed under a Creative Commons Attribution 4.0 International License , except where otherwise noted.

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Sound and acoustic engineers know that the shape of a room and its materials greatly impact how sound waves travel. Recording studios are designed in soundproof booths so that the recorded music does not contain any unwanted external noise. Libraries are designed to reduce any introduced noises, to assure a quiet, non-distracting learning environment. Concert halls are designed so that sound generated on the stage travels to the back of the space without being distorted.

After this activity, students should be able to:

• Explain that sound can move through solids, liquids and gases.
• Describe how sound needs molecules to move and that changing the medium that it travels through changes the sound.
• Describe how engineers use sound energy when designing spaces, such as movie theaters.

Educational Standards Each TeachEngineering lesson or activity is correlated to one or more K-12 science, technology, engineering or math (STEM) educational standards. All 100,000+ K-12 STEM standards covered in TeachEngineering are collected, maintained and packaged by the Achievement Standards Network (ASN) , a project of D2L (www.achievementstandards.org). In the ASN, standards are hierarchically structured: first by source; e.g. , by state; within source by type; e.g. , science or mathematics; within type by subtype, then by grade, etc .

Ngss: next generation science standards - science, international technology and engineering educators association - technology.

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State Standards

Colorado - science.

Each group needs:

• large bowl (metal works best)
• 2 metal objects, such as spoons, to knock together
• Traveling Sound Worksheet , one per student

A basic understanding of the phases of matter: liquids, solids and gases.

Sound engineers are especially interested in the way sound travels. Can you hear as well when you sit in the back of the class as when you sit in the front? What about in the assembly hall or gymnasium? On the playground? Can you think of other times when you cannot hear as well as someone else? What happened? How about in a movie theater? What do engineers do so that the sound quality is good for everyone in a movie theater? (Possible answers: Add speakers around the room, curtains, carpet the walls, cone-shaped theaters act like a megaphone and help to direct sound waves further.)

Which is louder—walking on carpet or on tile? It is quieter on carpet because the carpet absorbs the sound energy . Sound energy, light energy and other types of energy, need molecules to travel through and vibrate , but sometimes sound energy is absorbed by an object or material. Engineers use this idea when designing rooms that are meant to be quiet. Have you ever noticed how the walls of a movie theater are covered with carpet or fabric? This is to prevent echoing of the sound system. Sometimes when you are in an empty room, your voice echoes or sounds hollow. This is because an empty room has no materials in it that might absorb the sound energy, so the sound bounces off the hard walls, back at you. This makes it hard to hear clearly.

Do you think sound energy can travel through air? Of course it can! That is how sound energy travels when you talk to a friend. How about water? Can you hear sound travel under water? How about a solid? Can sound move through a solid object? Engineers want to know if sound can travel through solids, liquids and gases so they can develop ways to send messages to people all over the world. Can you imagine how great sound would be if it could travel anywhere?

Understanding the properties of sound and how sound waves travel helps engineers determine the best room shape and construction materials when designing libraries, classrooms, sound recording studios, concert halls and theatres. Room shape and materials can impact how sound waves travel since sound waves bounce off different object in different ways. In this activity, we are going to study how sound waves travel through liquids, solids and gases, and think about how engineers might use this information.

Before the Activity

• Gather materials and make copies of the Traveling Sound Worksheet .
• Divide the class into teams of two students each.

With the Students

• Ask the students to predict if sound can move through solids, liquids and gases.
• Have the students complete the worksheet, which leads them through traveling sound wave activities.
• Can sound energy travel through solids? Students place their ears on a desk or table as they tap or scratch on the top. They compare that to the same sound made when their ear is not pressed to the table.
• Can sound energy traveling through liquids? Fill a large bowl or bucket (metal works best) with water. One student taps two spoons together under the water. Two other students observe and compare the tapping sound they hear, as heard through the air and as heard by placing an ear against the bowl.
• Can sound energy traveling through gases (air)? The students feel their throats gently during each of these tasks:
• Hum with your mouth and nose open.
• Hum with your mouth open and nose closed.
• Hum with your mouth closed and nose open.
• Hum with your mouth and nose closed.
• Discuss with the students what happened. Were their predictions correct? Can sound travel through air, water and solids? (Answer: Yes!) Sound needs molecules to move. Solids, liquids and gases are all made of molecules. The characteristics of the molecules (for example, the space between the molecules) determine whether the sound becomes muffled or changes in some way.
• How might engineers use the knowledge that sound travels through solids, liquids and gases? (Possible answers: Engineers create devices that send sound anywhere — through water to a submarine in the ocean, through wires to your TV, and through the air in surround sound movie theaters or emergency broadcast signals.)

echo: Repetition of a sound by reflection of sound waves from a surface.

frequency: The rate of vibrations in different pitches.

pitch: The highness or lowness of a sound.

sound energy: Audible energy that is released when you talk, play musical instruments or slam a door.

sound wave: A longitudinal pressure wave of audible or inaudible sound.

vibration: When something moves back and forth, it is said to vibrate. Sound is made by vibrations that are usually too fast to see.

volume: When sound becomes louder or softer.

wave: A disturbance that travels through a medium, such as air or water.

Pre-Activity Assessment

Prediction: Ask students if they think sound can move through solid, liquid, and gas. If so what are some examples? (Possible examples: Students may recall talking under water or using tin can and string telephones.)

Activity Embedded Assessment

Worksheet: Have students use the Traveling Sounds Worksheet to guide them in the activity and as a place to record their observations. Review their answers to gauge their mastery of the subject.

Post-Activity Assessment

Toss-a-Question:  Ask students to independently think of an answer to the question below and write it on a half sheet of paper. Have students wad up and toss the paper to another team member who then adds their answer idea. After all students have written down ideas, have them toss the paper wad to another team, who reads the answers aloud to the class. Discuss answers with the class.

• What is an example of something through which sound can travel?

Neighbor Check: Have the students compare their activity observations with a neighbor. Are they the same or different? Have each team report some of their similar and dissimilar observations to the rest of the class.

Engineering Design: The supply of air on Earth is running out! Several futuristic cities for human habitation are being designed either underwater or deep inside mountains. Have each student group become a city planning engineering team and draw a communication system for sending emergency messages between the new cities. Make sure to illustrate and describe how the sound energy (message) will move through air, water or solid rock.

This activity can be very loud. Ask students to not disturb others while they learn and have fun.

To bring some humor to the activity, ask each student to hum a small part of their favorite song while feeling their throat. Have each student alternate between having their nose and mouth open or closed while humming non-stop. Why does the sound change depending on whether you close your nose or mouth? What happens if you block your ears? What does this activity teach us about sound? (Answer: Sound vibrations must travel through air for us to hear them. Like a musical instrument [perhaps a recorder or flute], if you change the holes where sound escapes, it changes the pitch, but not the frequency/vibrations of the sound.)

If a metal bowl is used during the activity, the vibrations from the objects colliding underwater vibrate the bowl, creating the illusion that the bowl is being struck. Have students draw the vibrations in the bowl on a piece of paper. Do the vibrations change if the objects are tapped together increasing softly?

Have students think about different forms of communications. Does sound travel most often through solids, liquids or gases? Have students poll their friends, family and neighbors to solicit their ideas.

For lower grades, conduct the activities as a class instead of in teams. Younger students could also draw pictures of their observations instead of writing in sentence form.

Students are introduced to the sound environment as an important aspect of a room or building. Several examples of acoustical engineering design for varied environments are presented.

Students learn how different materials reflect and absorb sound.

Students learn that sound is energy and has the ability to do work. Students discover that sound is produced by a vibration and they observe soundwaves and how they travel through mediums. They understand that sound can be absorbed, reflected or transmitted.

Students use the engineering design process to design and create soundproof rooms that use only one type of material. They learn and explore about how these different materials react to sound by absorbing or reflecting sound and then test their theories using a box as a proxy for a soundproof room. ...

Dictionary.com. Lexico Publishing Group, LLC. Accessed December 19, 2005. (Source of some vocabulary definitions, with some adaptation.) http://www.dictionary.com

Contributors

Supporting program, acknowledgements.

The contents of this digital library curriculum were developed under grants from the Fund for the Improvement of Postsecondary Education (FIPSE), U.S. Department of Education and National Science Foundation (GK-12 grant no. 0338326). However, these contents do not necessarily represent the policies of the Department of Education or National Science Foundation, and you should not assume endorsement by the federal government.

Last modified: March 17, 2021

How Sound Travels

Most recent answer: 10/22/2007

(published on 10/22/2007)

Follow-up on this answer

Related Questions

• Would a tin-can phone work in space?
• Waves on a guitar string caught on camera
• Hearing neighbors
• Is there a moment of silence just after the sound barrier is broken?
• Doppler shift and wind
• density and speed of sound
• dog park noise
• noise-cancelling headphones
• Water waves and light waves
• light scattering off sound

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• Properties of Sound

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Relative Speed of Sound in Solids, Liquids, and Gases

The speed of sound is dependent on the properties of the material it travels through: it will travel faster through a solid than a liquid, and faster through a liquid than a gas.

The speed of sound is the distance traveled in a unit of time by a sound wave through an elastic medium . This medium can be a solid, liquid, gas, or even plasma. The speed of sound is dependent on the properties of the media the sound is travelling through. The general value given for the speed of sound is the speed of a sound wave in air, at sea level, at normal atmospheric pressure; that number is 344 m/s. However, this number is not constant. Sound travels faster in a solid than in a liquid, and faster in a liquid that in a gas.

There are two different kinds of sound waves:  compression waves  and  shear waves . Compression waves can travel through any media, but shear waves can only travel through solids. The speed of a compression wave is determined by the media’s compression capacity, shear modulus, and density, while the speed of the shear wave is only determined by the shear modulus and density. The shear modulus is a measurement of the elasticity or rigidity of a material. Calculating this is outside of the scope of this atom, but there are tables which tell you its value for materials.

The speed of sound is usually denoted by  c , and a general equation can be used to calculate it. This is called the Newton-Laplace equation:

where K is the coefficient of stiffness of the material (also called the Bulk modulus) and p is the density of the material. It is easy to see that the speed of sound will increase with stiffness and decrease with density.

One can also increase the speed of sound by increasing the temperature of the medium. The higher the temperature, the higher the kinetic energy, hence a faster speed of sound.

Practice Questions

 Khan Academy

MCAT Official Prep (AAMC)

Physics Online Flashcards Question 3

Physics Online Flashcards Question 20

Physics Question Pack Question 75

• Sound can travel through any compressible material. These media can be solid, liquid, gas, or even plasma.

• The speed of sound is dependent on the properties of the material it travels through. It will travel faster through a solid than a liquid, and faster through a liquid than a gas.

• The general number given for the speed of sound is calculated at sea level, in air, at normal atmospheric pressure. That value is 344 m/s.

Elastic : The property of a material deformed under the load can regain its original dimensions when unloaded

Medium : General term for different types of materials.

Kelvin : in the International System of Units, the base unit of thermodynamic temperature; 1/273.16 of the thermodynamic temperature of the triple point of water; symbolized as K

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Exploring Sound Transmission in Liquids: Wave Behavior, Reflection and Refraction, and Measurement of Liquid Properties

By Happy Sharer

Introduction

Sound is a form of energy that travels in waves and can be heard when it reaches a person’s ear. It can travel through air, water, and other substances. This article will explore the physics of sound traveling through liquids, including how it moves through water, factors that affect its speed, acoustic properties of different types of liquids, and use of sound waves to measure liquid properties.

Exploring the Physics of Sound Traveling Through Liquids

When sound waves pass through a liquid, they interact with the molecules of the liquid and create a series of compressions and rarefactions. This interaction causes the sound wave to change direction and speed. The behavior of sound waves in liquids depends on several factors, including the density and viscosity of the liquid, pressure, and temperature.

Wave behavior of sound in liquids

When a sound wave passes through a liquid, it is bent or refracted due to the difference in the speed of sound between the liquid and the medium from which it originated. This phenomenon is called Snell’s law, which states that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities of sound in the two media.

Refraction and reflection of sound waves

When a sound wave encounters an obstacle in a liquid, such as a wall or other object, it is reflected back in the same direction from which it came. This phenomenon is known as reflection. Reflection of sound waves can also occur when a sound wave encounters a boundary between two liquids with different densities. In this case, some of the sound energy is reflected back while the rest is refracted into the other liquid.

How temperature affects sound wave propagation

Temperature also plays a role in the behavior of sound waves in liquids. As the temperature increases, the speed of sound in a liquid decreases. This means that sound waves will travel more slowly in hotter liquids than in colder ones. Additionally, high temperatures can cause sound waves to become distorted, resulting in a loss of clarity and fidelity.

How Does Sound Move Through Water?

Water is one of the most common liquids through which sound waves can travel. The speed of sound in water is approximately 1,500 meters per second (4,900 feet per second). This is about four times faster than the speed of sound in air.

Speed of sound in water

The speed of sound in water can vary depending on several factors, including temperature, salinity, and depth. Generally, the speed of sound in water increases as the temperature decreases and as the salinity increases. The speed of sound also decreases with increasing depth.

Factors that affect speed of sound in water

In addition to temperature and salinity, several other factors can affect the speed of sound in water. These include the density of the water, the viscosity of the water, and the pressure of the water. As the density of the water increases, the speed of sound also increases. Similarly, as the viscosity of the water increases, the speed of sound decreases. Lastly, as the pressure of the water increases, the speed of sound also increases.

Investigating the Factors that Affect Sound Propagation in Water

The speed of sound in water is affected by several factors. In order to better understand how these factors influence sound propagation, it is important to investigate each factor individually.

Density of liquid

The density of a liquid affects the speed of sound in the liquid. As the density of a liquid increases, the speed of sound also increases. This is because the molecules of a dense liquid are closer together, allowing sound waves to propagate through the liquid more quickly.

Viscosity of liquid

The viscosity of a liquid affects the speed of sound in the liquid. As the viscosity of a liquid increases, the speed of sound decreases. This is because viscous liquids have more resistance to the movement of sound waves, causing them to travel more slowly through the liquid.

The pressure of a liquid also affects the speed of sound in the liquid. As the pressure of a liquid increases, the speed of sound also increases. This is because higher pressure causes the molecules of the liquid to move faster, allowing sound waves to propagate through the liquid more quickly.

Acoustic Properties of Different Types of Liquids

The acoustic properties of a liquid can vary depending on its composition. For example, water has a different acoustic property than oil or alcohol. Each type of liquid has its own unique characteristics that affect the way sound waves behave in the liquid.

Characteristics of sound waves in different types of liquids

The characteristics of sound waves in different types of liquids can vary significantly. For example, sound waves in water tend to travel faster than sound waves in oil or alcohol. Additionally, sound waves in water tend to be clearer and less distorted than sound waves in other types of liquids.

Examples of different types of liquids

Some examples of common liquids that can be used to study sound wave behavior include water, oil, alcohol, and other fluids. Each of these liquids has its own unique properties that affect the way sound waves behave in the liquid. By studying these properties, scientists can gain a better understanding of how sound waves propagate through different types of liquids.

Utilizing Sound Waves to Measure Liquid Properties

Sound waves can be used to measure various properties of liquids, such as temperature, pressure, and depth. Scientists use sound waves to measure these properties by analyzing the way the sound waves reflect off of objects in the liquid. By measuring the amount of time it takes for the sound waves to travel from one point to another, scientists can determine the distance between the two points.

Use of sound waves in underwater acoustics

Sound waves can also be used in underwater acoustics to detect submerged objects and map out the ocean floor. By measuring the intensity of the sound waves, scientists can determine the size, shape, and location of an object. Additionally, sound waves can be used to detect changes in water temperature and salinity, which can be used to monitor ocean currents and climate change.

Applications of sound waves in measuring liquid properties

Sound waves can also be used to measure the properties of liquids, such as density, viscosity, and surface tension. These measurements can be used to monitor the quality of drinking water, analyze the chemistry of a liquid, and identify potential hazards in industrial settings.

Sound is a form of energy that can travel through liquids, such as water, oil, and alcohol. The behavior of sound waves in liquids depends on several factors, including the density and viscosity of the liquid, pressure, and temperature. Additionally, sound waves can be used to measure various properties of liquids, such as temperature, pressure, and depth. By understanding the physics of sound transmission in liquids, scientists can gain a better understanding of how sound propagates through different types of liquids and how to utilize sound waves to measure liquid properties.

(Note: Is this article not meeting your expectations? Do you have knowledge or insights to share? Unlock new opportunities and expand your reach by joining our authors team. Click Registration to join us and share your expertise with our readers.)

Hi, I'm Happy Sharer and I love sharing interesting and useful knowledge with others. I have a passion for learning and enjoy explaining complex concepts in a simple way.

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Since the speed of a wave is defined as the distance that a point on a wave (such as a compression or a rarefaction) travels per unit of time, it is often expressed in units of meters/second (abbreviated m/s). In equation form, this is

The faster a sound wave travels, the more distance it will cover in the same period of time. If a sound wave were observed to travel a distance of 700 meters in 2 seconds, then the speed of the wave would be 350 m/s. A slower wave would cover less distance - perhaps 660 meters - in the same time period of 2 seconds and thus have a speed of 330 m/s. Faster waves cover more distance in the same period of time.

Factors Affecting Wave Speed

The speed of any wave depends upon the properties of the medium through which the wave is traveling. Typically there are two essential types of properties that affect wave speed - inertial properties and elastic properties. Elastic properties are those properties related to the tendency of a material to maintain its shape and not deform whenever a force or stress is applied to it. A material such as steel will experience a very small deformation of shape (and dimension) when a stress is applied to it. Steel is a rigid material with a high elasticity. On the other hand, a material such as a rubber band is highly flexible; when a force is applied to stretch the rubber band, it deforms or changes its shape readily. A small stress on the rubber band causes a large deformation. Steel is considered to be a stiff or rigid material, whereas a rubber band is considered a flexible material. At the particle level, a stiff or rigid material is characterized by atoms and/or molecules with strong attractions for each other. When a force is applied in an attempt to stretch or deform the material, its strong particle interactions prevent this deformation and help the material maintain its shape. Rigid materials such as steel are considered to have a high elasticity. (Elastic modulus is the technical term). The phase of matter has a tremendous impact upon the elastic properties of the medium. In general, solids have the strongest interactions between particles, followed by liquids and then gases. For this reason, longitudinal sound waves travel faster in solids than they do in liquids than they do in gases. Even though the inertial factor may favor gases, the elastic factor has a greater influence on the speed ( v ) of a wave, thus yielding this general pattern:

Inertial properties are those properties related to the material's tendency to be sluggish to changes in its state of motion. The density of a medium is an example of an inertial property . The greater the inertia (i.e., mass density) of individual particles of the medium, the less responsive they will be to the interactions between neighboring particles and the slower that the wave will be. As stated above, sound waves travel faster in solids than they do in liquids than they do in gases. However, within a single phase of matter, the inertial property of density tends to be the property that has a greatest impact upon the speed of sound. A sound wave will travel faster in a less dense material than a more dense material. Thus, a sound wave will travel nearly three times faster in Helium than it will in air. This is mostly due to the lower mass of Helium particles as compared to air particles.  

The Speed of Sound in Air

The speed of a sound wave in air depends upon the properties of the air, mostly the temperature, and to a lesser degree, the humidity. Humidity is the result of water vapor being present in air. Like any liquid, water has a tendency to evaporate. As it does, particles of gaseous water become mixed in the air. This additional matter will affect the mass density of the air (an inertial property). The temperature will affect the strength of the particle interactions (an elastic property). At normal atmospheric pressure, the temperature dependence of the speed of a sound wave through dry air is approximated by the following equation:

where T is the temperature of the air in degrees Celsius. Using this equation to determine the speed of a sound wave in air at a temperature of 20 degrees Celsius yields the following solution.

v = 331 m/s + (0.6 m/s/C)•(20 C)

v = 331 m/s + 12 m/s

v = 343 m/s

(The above equation relating the speed of a sound wave in air to the temperature provides reasonably accurate speed values for temperatures between 0 and 100 Celsius. The equation itself does not have any theoretical basis; it is simply the result of inspecting temperature-speed data for this temperature range. Other equations do exist that are based upon theoretical reasoning and provide accurate data for all temperatures. Nonetheless, the equation above will be sufficient for our use as introductory Physics students.)

Look It Up!

Using wave speed to determine distances.

At normal atmospheric pressure and a temperature of 20 degrees Celsius, a sound wave will travel at approximately 343 m/s; this is approximately equal to 750 miles/hour. While this speed may seem fast by human standards (the fastest humans can sprint at approximately 11 m/s and highway speeds are approximately 30 m/s), the speed of a sound wave is slow in comparison to the speed of a light wave. Light travels through air at a speed of approximately 300 000 000 m/s; this is nearly 900 000 times the speed of sound. For this reason, humans can observe a detectable time delay between the thunder and the lightning during a storm. The arrival of the light wave from the location of the lightning strike occurs in so little time that it is essentially negligible. Yet the arrival of the sound wave from the location of the lightning strike occurs much later. The time delay between the arrival of the light wave (lightning) and the arrival of the sound wave (thunder) allows a person to approximate his/her distance from the storm location. For instance if the thunder is heard 3 seconds after the lightning is seen, then sound (whose speed is approximated as 345 m/s) has traveled a distance of

If this value is converted to miles (divide by 1600 m/1 mi), then the storm is a distance of 0.65 miles away.

Another phenomenon related to the perception of time delays between two events is an echo . A person can often perceive a time delay between the production of a sound and the arrival of a reflection of that sound off a distant barrier. If you have ever made a holler within a canyon, perhaps you have heard an echo of your holler off a distant canyon wall. The time delay between the holler and the echo corresponds to the time for the holler to travel the round-trip distance to the canyon wall and back. A measurement of this time would allow a person to estimate the one-way distance to the canyon wall. For instance if an echo is heard 1.40 seconds after making the holler , then the distance to the canyon wall can be found as follows:

The canyon wall is 242 meters away. You might have noticed that the time of 0.70 seconds is used in the equation. Since the time delay corresponds to the time for the holler to travel the round-trip distance to the canyon wall and back, the one-way distance to the canyon wall corresponds to one-half the time delay.

While an echo is of relatively minimal importance to humans, echolocation is an essential trick of the trade for bats. Being a nocturnal creature, bats must use sound waves to navigate and hunt. They produce short bursts of ultrasonic sound waves that reflect off objects in their surroundings and return. Their detection of the time delay between the sending and receiving of the pulses allows a bat to approximate the distance to surrounding objects. Some bats, known as Doppler bats, are capable of detecting the speed and direction of any moving objects by monitoring the changes in frequency of the reflected pulses. These bats are utilizing the physics of the Doppler effect discussed in an earlier unit (and also to be discussed later in Lesson 3 ). This method of echolocation enables a bat to navigate and to hunt.

The Wave Equation Revisited

Like any wave, a sound wave has a speed that is mathematically related to the frequency and the wavelength of the wave. As discussed in a previous unit , the mathematical relationship between speed, frequency and wavelength is given by the following equation.

Using the symbols v , λ , and f , the equation can be rewritten as

Check Your Understanding

1. An automatic focus camera is able to focus on objects by use of an ultrasonic sound wave. The camera sends out sound waves that reflect off distant objects and return to the camera. A sensor detects the time it takes for the waves to return and then determines the distance an object is from the camera. If a sound wave (speed = 340 m/s) returns to the camera 0.150 seconds after leaving the camera, how far away is the object?

Answer = 25.5 m

The speed of the sound wave is 340 m/s. The distance can be found using d = v • t resulting in an answer of 25.5 m. Use 0.075 seconds for the time since 0.150 seconds refers to the round-trip distance.

2. On a hot summer day, a pesky little mosquito produced its warning sound near your ear. The sound is produced by the beating of its wings at a rate of about 600 wing beats per second.

a. What is the frequency in Hertz of the sound wave? b. Assuming the sound wave moves with a velocity of 350 m/s, what is the wavelength of the wave?

Part a Answer: 600 Hz (given)

Part b Answer: 0.583 meters

3. Doubling the frequency of a wave source doubles the speed of the waves.

a. True b. False

Doubling the frequency will halve the wavelength; speed is unaffected by the alteration in the frequency. The speed of a wave depends upon the properties of the medium.

4. Playing middle C on the piano keyboard produces a sound with a frequency of 256 Hz. Assuming the speed of sound in air is 345 m/s, determine the wavelength of the sound corresponding to the note of middle C.

 Answer: 1.35 meters (rounded)

Let λ = wavelength. Use v = f • λ where v = 345 m/s and f = 256 Hz. Rearrange the equation to the form of λ = v / f. Substitute and solve.

5. Most people can detect frequencies as high as 20 000 Hz. Assuming the speed of sound in air is 345 m/s, determine the wavelength of the sound corresponding to this upper range of audible hearing.

Answer: 0.0173 meters (rounded)

Let λ = wavelength. Use v = f • λ where v = 345 m/s and f = 20 000 Hz. Rearrange the equation to the form of λ = v / f. Substitute and solve.

6. An elephant produces a 10 Hz sound wave. Assuming the speed of sound in air is 345 m/s, determine the wavelength of this infrasonic sound wave.

Answer: 34.5 meters

Let λ = wavelength. Use v = f • λ where v = 345 m/s and f = 10 Hz. Rearrange the equation to the form of λ = v / f. Substitute and solve.

7. Determine the speed of sound on a cold winter day (T=3 degrees C).

Answer: 332.8 m/s

The speed of sound in air is dependent upon the temperature of air. The dependence is expressed by the equation:

v = 331 m/s + (0.6 m/s/C) • T

where T is the temperature in Celsius. Substitute and solve.

v = 331 m/s + (0.6 m/s/C) • 3 C v = 331 m/s + 1.8 m/s v = 332.8 m/s

8. Miles Tugo is camping in Glacier National Park. In the midst of a glacier canyon, he makes a loud holler. He hears an echo 1.22 seconds later. The air temperature is 20 degrees C. How far away are the canyon walls?

Answer = 209 m

The speed of the sound wave at this temperature is 343 m/s (using the equation described in the Tutorial). The distance can be found using d = v • t resulting in an answer of 343 m. Use 0.61 second for the time since 1.22 seconds refers to the round-trip distance.

9. Two sound waves are traveling through a container of unknown gas. Wave A has a wavelength of 1.2 m. Wave B has a wavelength of 3.6 m. The velocity of wave B must be __________ the velocity of wave A.

a. one-ninth b. one-third c. the same as d. three times larger than

The speed of a wave does not depend upon its wavelength, but rather upon the properties of the medium. The medium has not changed, so neither has the speed.

10. Two sound waves are traveling through a container of unknown gas. Wave A has a wavelength of 1.2 m. Wave B has a wavelength of 3.6 m. The frequency of wave B must be __________ the frequency of wave A.

Since Wave B has three times the wavelength of Wave A, it must have one-third the frequency. Frequency and wavelength are inversely related.

• Interference and Beats

17.2 Speed of Sound

Learning objectives.

By the end of this section, you will be able to:

• Explain the relationship between wavelength and frequency of sound
• Determine the speed of sound in different media
• Derive the equation for the speed of sound in air
• Determine the speed of sound in air for a given temperature

Sound, like all waves, travels at a certain speed and has the properties of frequency and wavelength. You can observe direct evidence of the speed of sound while watching a fireworks display ( Figure 17.4 ). You see the flash of an explosion well before you hear its sound and possibly feel the pressure wave, implying both that sound travels at a finite speed and that it is much slower than light.

The difference between the speed of light and the speed of sound can also be experienced during an electrical storm. The flash of lighting is often seen before the clap of thunder. You may have heard that if you count the number of seconds between the flash and the sound, you can estimate the distance to the source. Every five seconds converts to about one mile. The velocity of any wave is related to its frequency and wavelength by

where v is the speed of the wave, f is its frequency, and λ λ is its wavelength. Recall from Waves that the wavelength is the length of the wave as measured between sequential identical points. For example, for a surface water wave or sinusoidal wave on a string, the wavelength can be measured between any two convenient sequential points with the same height and slope, such as between two sequential crests or two sequential troughs. Similarly, the wavelength of a sound wave is the distance between sequential identical parts of a wave—for example, between sequential compressions ( Figure 17.5 ). The frequency is the same as that of the source and is the number of waves that pass a point per unit time.

Speed of Sound in Various Media

Table 17.1 shows that the speed of sound varies greatly in different media. The speed of sound in a medium depends on how quickly vibrational energy can be transferred through the medium. For this reason, the derivation of the speed of sound in a medium depends on the medium and on the state of the medium. In general, the equation for the speed of a mechanical wave in a medium depends on the square root of the restoring force, or the elastic property , divided by the inertial property ,

Also, sound waves satisfy the wave equation derived in Waves ,

Recall from Waves that the speed of a wave on a string is equal to v = F T μ , v = F T μ , where the restoring force is the tension in the string F T F T and the linear density μ μ is the inertial property. In a fluid, the speed of sound depends on the bulk modulus and the density,

The speed of sound in a solid depends on the Young’s modulus of the medium and the density,

In an ideal gas (see The Kinetic Theory of Gases ), the equation for the speed of sound is

where γ γ is the adiabatic index, R = 8.31 J/mol · K R = 8.31 J/mol · K is the gas constant, T K T K is the absolute temperature in kelvins, and M is the molar mass. In general, the more rigid (or less compressible) the medium, the faster the speed of sound. This observation is analogous to the fact that the frequency of simple harmonic motion is directly proportional to the stiffness of the oscillating object as measured by k , the spring constant. The greater the density of a medium, the slower the speed of sound. This observation is analogous to the fact that the frequency of a simple harmonic motion is inversely proportional to m , the mass of the oscillating object. The speed of sound in air is low, because air is easily compressible. Because liquids and solids are relatively rigid and very difficult to compress, the speed of sound in such media is generally greater than in gases.

Because the speed of sound depends on the density of the material, and the density depends on the temperature, there is a relationship between the temperature in a given medium and the speed of sound in the medium. For air at sea level, the speed of sound is given by

where the temperature in the first equation (denoted as T C T C ) is in degrees Celsius and the temperature in the second equation (denoted as T K T K ) is in kelvins. The speed of sound in gases is related to the average speed of particles in the gas, v rms = 3 k B T m , v rms = 3 k B T m , where k B k B is the Boltzmann constant ( 1.38 × 10 −23 J/K ) ( 1.38 × 10 −23 J/K ) and m is the mass of each (identical) particle in the gas. Note that v refers to the speed of the coherent propagation of a disturbance (the wave), whereas v rms v rms describes the speeds of particles in random directions. Thus, it is reasonable that the speed of sound in air and other gases should depend on the square root of temperature. While not negligible, this is not a strong dependence. At 0 °C 0 °C , the speed of sound is 331 m/s, whereas at 20.0 °C 20.0 °C , it is 343 m/s, less than a 4 % 4 % increase. Figure 17.6 shows how a bat uses the speed of sound to sense distances.

Derivation of the Speed of Sound in Air

As stated earlier, the speed of sound in a medium depends on the medium and the state of the medium. The derivation of the equation for the speed of sound in air starts with the mass flow rate and continuity equation discussed in Fluid Mechanics .

Consider fluid flow through a pipe with cross-sectional area A ( Figure 17.7 ). The mass in a small volume of length x of the pipe is equal to the density times the volume, or m = ρ V = ρ A x . m = ρ V = ρ A x . The mass flow rate is

The continuity equation from Fluid Mechanics states that the mass flow rate into a volume has to equal the mass flow rate out of the volume, ρ in A in v in = ρ out A out v out . ρ in A in v in = ρ out A out v out .

Now consider a sound wave moving through a parcel of air. A parcel of air is a small volume of air with imaginary boundaries ( Figure 17.8 ). The density, temperature, and velocity on one side of the volume of the fluid are given as ρ , T , v , ρ , T , v , and on the other side are ρ + d ρ , T + d T , v + d v . ρ + d ρ , T + d T , v + d v .

The continuity equation states that the mass flow rate entering the volume is equal to the mass flow rate leaving the volume, so

This equation can be simplified, noting that the area cancels and considering that the multiplication of two infinitesimals is approximately equal to zero: d ρ ( d v ) ≈ 0 , d ρ ( d v ) ≈ 0 ,

The net force on the volume of fluid ( Figure 17.9 ) equals the sum of the forces on the left face and the right face:

The acceleration is the force divided by the mass and the mass is equal to the density times the volume, m = ρ V = ρ d x d y d z . m = ρ V = ρ d x d y d z . We have

From the continuity equation ρ d v = − v d ρ ρ d v = − v d ρ , we obtain

Consider a sound wave moving through air. During the process of compression and expansion of the gas, no heat is added or removed from the system. A process where heat is not added or removed from the system is known as an adiabatic system. Adiabatic processes are covered in detail in The First Law of Thermodynamics , but for now it is sufficient to say that for an adiabatic process, p V γ = constant, p V γ = constant, where p is the pressure, V is the volume, and gamma ( γ ) ( γ ) is a constant that depends on the gas. For air, γ = 1.40 γ = 1.40 . The density equals the number of moles times the molar mass divided by the volume, so the volume is equal to V = n M ρ . V = n M ρ . The number of moles and the molar mass are constant and can be absorbed into the constant p ( 1 ρ ) γ = constant . p ( 1 ρ ) γ = constant . Taking the natural logarithm of both sides yields ln p − γ ln ρ = constant . ln p − γ ln ρ = constant . Differentiating with respect to the density, the equation becomes

If the air can be considered an ideal gas, we can use the ideal gas law:

Here M is the molar mass of air:

Since the speed of sound is equal to v = d p d ρ v = d p d ρ , the speed is equal to

Note that the velocity is faster at higher temperatures and slower for heavier gases. For air, γ = 1.4 , γ = 1.4 , M = 0.02897 kg mol , M = 0.02897 kg mol , and R = 8.31 J mol · K . R = 8.31 J mol · K . If the temperature is T C = 20 ° C ( T = 293 K ) , T C = 20 ° C ( T = 293 K ) , the speed of sound is v = 343 m/s . v = 343 m/s .

The equation for the speed of sound in air v = γ R T M v = γ R T M can be simplified to give the equation for the speed of sound in air as a function of absolute temperature:

One of the more important properties of sound is that its speed is nearly independent of the frequency. This independence is certainly true in open air for sounds in the audible range. If this independence were not true, you would certainly notice it for music played by a marching band in a football stadium, for example. Suppose that high-frequency sounds traveled faster—then the farther you were from the band, the more the sound from the low-pitch instruments would lag that from the high-pitch ones. But the music from all instruments arrives in cadence independent of distance, so all frequencies must travel at nearly the same speed. Recall that

In a given medium under fixed conditions, v is constant, so there is a relationship between f and λ ; λ ; the higher the frequency, the smaller the wavelength ( Figure 17.10 ).

Example 17.1

Calculating wavelengths.

• Identify knowns. The value for v is given by v = ( 331 m/s ) T 273 K . v = ( 331 m/s ) T 273 K .
• Convert the temperature into kelvins and then enter the temperature into the equation v = ( 331 m/s ) 303 K 273 K = 348.7 m/s . v = ( 331 m/s ) 303 K 273 K = 348.7 m/s .
• Solve the relationship between speed and wavelength for λ : λ = v f . λ = v f .
• Enter the speed and the minimum frequency to give the maximum wavelength: λ max = ​ 348.7 m/s 20 Hz = 17 m . λ max = ​ 348.7 m/s 20 Hz = 17 m .
• Enter the speed and the maximum frequency to give the minimum wavelength: λ min = 348.7 m/s 20,000 Hz = 0.017 m = 1.7 cm . λ min = 348.7 m/s 20,000 Hz = 0.017 m = 1.7 cm .

Significance

The speed of sound can change when sound travels from one medium to another, but the frequency usually remains the same. This is similar to the frequency of a wave on a string being equal to the frequency of the force oscillating the string. If v changes and f remains the same, then the wavelength λ λ must change. That is, because v = f λ v = f λ , the higher the speed of a sound, the greater its wavelength for a given frequency.

Check Your Understanding 17.1

Imagine you observe two firework shells explode. You hear the explosion of one as soon as you see it. However, you see the other shell for several milliseconds before you hear the explosion. Explain why this is so.

Although sound waves in a fluid are longitudinal, sound waves in a solid travel both as longitudinal waves and transverse waves. Seismic waves , which are essentially sound waves in Earth’s crust produced by earthquakes, are an interesting example of how the speed of sound depends on the rigidity of the medium. Earthquakes produce both longitudinal and transverse waves, and these travel at different speeds. The bulk modulus of granite is greater than its shear modulus. For that reason, the speed of longitudinal or pressure waves (P-waves) in earthquakes in granite is significantly higher than the speed of transverse or shear waves (S-waves). Both types of earthquake waves travel slower in less rigid material, such as sediments. P-waves have speeds of 4 to 7 km/s, and S-waves range in speed from 2 to 5 km/s, both being faster in more rigid material. The P-wave gets progressively farther ahead of the S-wave as they travel through Earth’s crust. The time between the P- and S-waves is routinely used to determine the distance to their source, the epicenter of the earthquake. Because S-waves do not pass through the liquid core, two shadow regions are produced ( Figure 17.11 ).

Seismologists and geophysicists use properties and velocities of earthquake waves to study the Earth's interior, which due to it's depth and pressure is not observable through many other means. In fact, the discoveries of the structure of the Earth, illustrated in the figure above, resulted from earthquake observations. In 1914, Beno Gutenberg used differences in wave speeds to determine that there must be a liquid core within the mantle. In 1936, Inge Lehmann began investigating P-waves from a New Zealand earthquake that had unexpectedly reached Europe, which should have been in the shadow region. Up until that point, seismologists had explained such shadow waves as being caused by some type of diffraction (as Gutenberg himself assumed) or a result of faulty seismometers. However, Lehmann had installed the European instruments herself, and so trusted their accuracy. She calculated that the amplitude of the waves must be caused by the existence of a solid inner core within the liquid core. This model has been accepted and reinforced by decades of subsequent calculations, including those from nuclear test explosions, which can be measured very precisely.

As sound waves move away from a speaker, or away from the epicenter of an earthquake, their power per unit area decreases. This is why the sound is very loud near a speaker and becomes less loud as you move away from the speaker. This also explains why there can be an extreme amount of damage at the epicenter of an earthquake but only tremors are felt in areas far from the epicenter. The power per unit area is known as the intensity, and in the next section, we will discuss how the intensity depends on the distance from the source.

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• Authors: William Moebs, Samuel J. Ling, Jeff Sanny
• Publisher/website: OpenStax
• Book title: University Physics Volume 1
• Publication date: Sep 19, 2016
• Location: Houston, Texas
• Book URL: https://openstax.org/books/university-physics-volume-1/pages/1-introduction
• Section URL: https://openstax.org/books/university-physics-volume-1/pages/17-2-speed-of-sound

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How Sound Travels

Sound travels in mechanical waves . A mechanical wave is a disturbance that moves and transports energy from one place to another through a medium . In sound, the disturbance is a vibrating object. And the medium can be any series of interconnected and interactive particles. This means that sound can travel through gases, liquids and solids.

Let's take a look at an example. Imagine a church bell. When a bell rings, it vibrates, which means the bell itself flexes inward and outward very rapidly. As the bell moves outward, it pushes against particles of air. Those air particles then push against other adjacent air particles, and so on. As the bell flexes inward, it pulls against the adjacent air particles, and they, in turn, pull against other air particles. This push and pull pattern is a sound wave. The vibrating bell is the original disturbance, and the air particles are the medium.

The bell's vibrations push and pull against adjacent air

Molecules, creating a sound wave..

Sound isn't restricted to moving through the air. Press your ear against a solid surface like a table and close your eyes. Tell someone else to tap his or her finger on the other end of the table. The tapping becomes the initial disturbance. Each tap sends vibrations through the table. The particles in the table collide with each other and become the medium for the sound. The particles in the table collide with air particles between the table and your eardrum . When a wave moves from one medium to another like this, it's called transmission .

The air particles collide with your ear's tympanic membrane , also known as the eardrum. This sets off a series of vibrations in several structures inside the ear. The brain interprets these vibrations as sounds. The whole process is pretty complex. You can learn more in How Hearing Works .

So, sound needs a physical medium in order to travel anywhere. Is there enough physical material in space to act as a medium for sound waves? Find out in the next section.

The speed of a sound wave depends upon the medium through which it travels. In general, sound travels faster through solids than through liquids or gases. Also, the denser the medium, the slower sound will travel through it. The same sound will travel at a different speed on a cold day than it would on a warm day.

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