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what determines the speed of sound in a medium

by Stephania Osinski Published 2 years ago Updated 2 years ago
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The speed of sound in a medium is determined by a combination of the medium's rigidity (or compressibility in gases) and its density. The more rigid (or less compressible) the medium, the faster the speed of sound. The greater the density of a medium, the slower the speed of sound.

Full Answer

What medium has the highest speed of sound?

v = k / p where k is the bulk modulus and p is the density. As bulk modulus of solid is highest so the velocity of sound in solid medium is highest. Typically speaking, the more dense the material, the faster the speed of sound is. So Solids generally have a higher speed of sound than liquids, which have a higher speed of sound than gases.

How to calculate the speed of sound?

The speed of sound depends on several variables, but the only independent variable we need to calculate the speed of sound is the temperature of the air. Enter your air temp and choose your units: The speed of sound: mph. Fahrenheit.

What is the highest speed of sound?

These fields generate a self-perpetuating electromagnetic wave that can travel in a vacuum - and its top speed is around 300,000 kilometres per second. Travelling through a medium, like water or an atmosphere, slows it down. Sound is a mechanical wave, which is caused by a vibration in a medium.

What does the speed of sound depend on?

The speed of the sound is a perfect gas that depends merely on its composition and temperature. The speed owes a weak dependence on pressure and frequency in the ordinary air. It slightly deviates from perfect behaviour. In a usual speech, the speed of the sound is known as the speed of the sound waves that are present in the air.

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Name the property used for distinguishing a sharp sound from a dull sound.

Pitch is the property which is used for distinguishing a sharp sound from a dull sound. Pitch depends on the frequency of the sound wave. Higher th...

Define the intensity of sound.

The intensity of sound is defined as the amount of energy passing through the unit area at that point. It is inversely proportional to the square o...

How does the speed of sound depend on the elasticity of the medium?

The greater the elasticity and the lower the density, the faster sound travels in a medium.

Why is the speed of sound maximum in solids?

The speed of sound is maximum in a solid medium because the molecules are closer together, allowing sound waves to travel more quickly through it.

Name the factors on which the speed of sound in a gas depends.

Speed of sound in a gas depends on the density and elasticity of the gas.

What is the main factor that affects the speed of sound?

In the Earth's atmosphere, the chief factor affecting the speed of sound is the temperature . For a given ideal gas with constant heat capacity and composition, the speed of sound is dependent solely upon temperature; see Details below. In such an ideal case, the effects of decreased density and decreased pressure of altitude cancel each other out, save for the residual effect of temperature .

How fast is sound?

The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. At 20 °C (68 °F), the speed of sound in air is about 343 metres per second (1,235 km/h; 1,125 ft/s; 767 mph; 667 kn), or a kilometre in 2.9 s or a mile in 4.7 s. It depends strongly on temperature as well as the medium through which a sound wave is propagating. At 0 °C (32 °F), the speed of sound is about 331 metres per second (1,192 km/h, 741 mph).

What type of sound wave is found only in solids?

Sound waves in solids are composed of compression waves (just as in gases and liquids), and a different type of sound wave called a shear wave, which occurs only in solids. Shear waves in solids usually travel at different speeds, as exhibited in seismology.

How does temperature affect sound?

Since temperature (and thus the speed of sound) decreases with increasing altitude up to 11 km, sound is refracted upward, away from listeners on the ground, creating an acoustic shadow at some distance from the source. The decrease of the speed of sound with height is referred to as a negative sound speed gradient .

How can sound transmission be illustrated?

The transmission of sound can be illustrated by using a model consisting of an array of spherical objects interconnected by springs.

What does C mean in math?

The speed of sound in mathematical notation is conventionally represented by c, from the Latin celeritas meaning "velocity".

How fast does sound travel?

However, the speed of sound varies from substance to substance: typically, sound travels most slowly in gases, faster in liquids, and fastest in solids. For example, while sound travels at 343 m/s in air, it travels at 1,481 m/s in water (almost 4.3 times as fast) and at 5,120 m/s in iron (almost 15 times as fast).

What determines the speed of sound?

The speed of sound depends on the type and properties of the medium through which it is traveling.

What happens to the speed of sound when the temperature increases?

In any medium, if the temperature increases, the speed of sound also increases and vice versa .

What is the audible range of sound?

The audible range of sound for the human beings varies between 20 Hz to 20000 Hz. However, as people grow older their ears gradually become less sensitive to higher the sound frequencies. The sounds of frequencies less than 20 Hz are known as infrasonic sound or infrasound.

What is repeated reflection that results in the persistence of sound waves?

The repeated reflection that results in the persistence of sound waves is known as reverberation. E.g. in a big hall e s p e c i a l l y, a n a u d i t o r i u m, the excessive reverberation can be heard.

What causes air pressure variation in the immediate environment?

The shock waves carry a large amount of energy, which causes air pressure variation in its immediate environment.

Which animals produce sound in the infrasound range?

Whales, rhinoceroses, and elephants produce sound in the infrasound range.

How long does it take to hear echo?

The sensation of sound continues in our brain for about 0.1 s; therefore, to hear a distinct echo sound, the time interval between the original sound and the reflected sound must be at least 0.1s.

How is the speed of sound determined in an ideal gas?

The speed of sound in an ideal gas depends only on its temperature and composition. ... The speed of compression waves in solids is determined by the medium's compressibility, shear modulus and density. The speed of shear waves is determined only by the solid material's shear modulus and density.

What is sound speed?

Technically, sound speed is a byproduct of a medium elasticity properties and inertial properties. In numbers, that is given as the square root of Bulk Modulus per Density.

How does sound travel through a medium?

Sound travels in mechanical waves of energy through different media, such as solids, liquids or gases. Waves cause the molecules of a medium to collide as it passes through the medium. Because the molecules of a solid are closer together than those of a liquid or gas, the molecules of a solid collide at a faster rate. Altitude, humidity and temperature are additional factors that influence the speed that sound passes through a medium.

Why is sound important?

It also has great importance in our daily life. Sound is a longitudinal wave, which is produced by the compression and rarefaction of matter. The speed of sound is dependent on the medium through which the waves of sound travel. Sound travels slower in air in comparison with its travel in liquids and solids.

How does sound propagate?

It's density. Sound propagates with help of molecules and denser the medium better is the propagation. You can find speed in different mediums with help of numerical calculations. But that's not what you should care for right now.

Why is vibration faster in solids or gases?

Like, in solid speed of sound is highest cause molecules are closely packed so to transmit vibration from one molecule to another is much faster and easier rather than in case of liquid or gas.

How are light waves different from other waves?

Light waves are different as they are electromagnetic in nature. When light enters a medium from vacuum, the medium’s particles absorb the energy. The energy is then re-emitted and passed onto the next particle. This cycle continues throughout the medium which introduces a minor time delay compared to light in vacuum. Thus it might seem higher the density the slower the light wave becomes but that is not true. It is actually the speed at which the atoms of a particular medium re-emit the energy which affects the speed of light. This is called optical density. Optical density and regular density seem to have a linear relationshipt but I assure you they do not. Common example would be ethyl alcohol which is less dense than water but has a higher optical density than water.

What is the speed of sound waves?

Like any wave, the speed of a sound wave refers to how fast the disturbance is passed from particle to particle. While frequency refers to the number of vibrations that an individual particle makes per unit of time, speed refers to the distance that the disturbance travels per unit of time. Always be cautious to distinguish between ...

How does sound travel through a medium?

The Speed of Sound. The Human Ear. A sound wave is a pressure disturbance that travels through a medium by means of particle-to-particle interaction . As one particle becomes disturbed, it exerts a force on the next adjacent particle, thus disturbing that particle from rest and transporting the energy through the medium.

What are the factors that affect wave speed?

Typically there are two essential types of properties that affect wave speed - inertial properties and elastic properties.

What is the speed of a wave?

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

How fast is a sound wave?

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.

Why does sound travel faster in helium than in air?

This is mostly due to the lower mass of Helium particles as compared to air particles.

Which factor has a greater influence on the speed of a wave?

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: vsolids > vliquids > vgases. Inertial properties are those properties related to the material's tendency to be sluggish to changes in its state of motion.

What determines the speed of sound?

The speed of sound in a given medium depends on the density and elasticity properties of that medium. According to physics, more is the speed of sound greater is the elasticity and smaller is the density. Therefore, the speed of sound is maximum in solids and minimum in solids.

How to find speed of sound?

speed of sound = the square root of (the coefficient ratio of specific heats × the pressure of the gas / the density of the medium).

How does sound travel?

Sound is a vibration or disturbance which travels through any medium. It moves by transferring energy from one particle to another and can be heard easily when it reaches a person’s ear. For example, when an object vibrates then it transfers energy to the surrounding particles and as a result, makes them vibrate. Sound cannot travel through the vacuum due to the absence of particles to act as a medium. Sound travels only through a medium like water, air and solid. In this article, we will discuss sound waves and the speed of sound formula. Let us begin learning!

What is sound wave?

What is a sound wave? Sound is a wave that is transmitted through air and liquid as longitudinal waves but through solid as both longitudinal and transverse waves. The speed of the propagation of the sound wave is depending on the characteristics of the medium in which it propagates.

Why can't sound travel through vacuum?

Sound cannot travel through the vacuum due to the absence of particles to act as a medium. Sound travels only through a medium like water, air and solid. In this article, we will discuss sound waves and the speed of sound formula. Let us begin learning!

How much pressure does sound travel at?

Q.1: The sound waves travel in the air with a density of 0.034 kg/m³ and pressure of 2k Pa with a temperature of 2°C. Calculate the speed of the sound.

Does speed depend on the characteristics of the wave?

Its speed does not depend on the characteristics of the wave or the force which generates it. Its propagation in a medium can be used to study some properties that medium. The speed of sound is the distance traveled by a sound wave propagating through an elastic medium per unit time.

What determines the speed of sound in a solid?

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

How does the speed of sound vary?

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,

Why is the sound louder near the epicenter of an earthquake?

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.

Why do low frequency sounds have a greater wavelength than high frequency sounds?

Figure 17.3. 7: Because they travel at the same speed in a given medium, low-frequency sounds must have a greater wavelength than high-frequency sounds. Here, the lower-frequency sounds are emitted by the large speaker, called a woofer, whereas the higher-frequency sounds are emitted by the small speaker, called a tweeter.

How to find the mass flow rate?

Figure 17.3. 1 :The mass of a fluid in a volume is equal to the density times the volume, m = ρ V = ρ A x. The mass flow rate is the time derivative of the mass.

What are the properties of sound?

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

How fast is sound at 0°C?

While not negligible, this is not a strong dependence. At 0°C , the speed of sound is 331 m/s, whereas at 20.0 °C, it is 343 m/s, less than a 4% increase.

How does the speed of sound vary?

The speed of sound varies greatly depending upon the medium it is traveling through. The speed of sound in a medium is determined by a combination of the medium’s rigidity (or compressibility in gases) and its density. The more rigid (or less compressible) the medium, the faster the speed of sound. The greater the density of a medium, the slower the speed of sound. The speed of sound in air is low, because air is 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. Table 14.1 shows the speed of sound in various media. Since temperature affects density, the speed of sound varies with the temperature of the medium through which it’s traveling to some extent, especially for gases.

Why is the speed of sound in air low?

The greater the density of a medium, the slower the speed of sound. The speed of sound in air is low, because air is 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.

How does a string produce sound?

A vibrating string produces a sound wave as illustrated in Figure 14.2, Figure 14.3, and Figure 14.4. As the string oscillates back and forth, part of the string’s energy goes into compressing and expanding the surrounding air. This creates slightly higher and lower pressures. The higher pressure... regions are compressions, and the low pressure regions are rarefactions. The pressure disturbance moves through the air as longitudinal waves with the same frequency as the string. Some of the energy is lost in the form of thermal energy transferred to the air. You may recall from the chapter on waves that areas of compression and rarefaction in longitudinal waves (such as sound) are analogous to crests and troughs in transverse waves.

What is the wavelength of a sound wave?

The wavelength of a sound, therefore, is the distance between adjacent identical parts of a sound wave. Just as the distance between adjacent crests in a transverse wave is one wavelength, the distance between adjacent compressions in a sound wave is also one wavelength, as shown in Figure 14.7.

Why does the intensity of a sound wave change with frequency?

Because, intensity of the sound wave changes with the frequency. Because, the speed of the sound wave changes when the frequency is changed. Because, loudness of the sound wave takes time to adjust after a change in frequency.

What happens when a string moves to the left?

Figure 14.3 As the string moves to the left, it creates another compression and rarefaction as the particles on the right move away from the string.

Why does the amplitude of a sound wave decrease with distance?

The amplitude of a sound wave decreases with distance from its source, because the energy of the wave is spread over a larger and larger area.

Answer

Sound travels more slowly than light, and it does not always travel at the same speed. Two main factors affect the speed of sound: the material that makes up the medium—such as air or water —and the temperatur e. If we know the medium and the temperature, however, we can predict the speed of sound.

New questions in Science

Activity A Element and Compound?Direction: Classify the given substances as an element or a compound. Write E if it is an element or C if it is acompo …

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Overview

The speed of sound is the distance travelled per unit of time by a sound wave as it propagates through an elastic medium. At 20 °C (68 °F), the speed of sound in air is about 343 metres per second (1,125 ft/s; 1,235 km/h; 767 mph; 667 kn), or one kilometre in 2.91 s or one mile in 4.69 s. It depends strongly on temperature as well as the medium through which a sound wave is propagating. At 0 °C (32 …

History

Sir Isaac Newton's 1687 Principia includes a computation of the speed of sound in air as 979 feet per second (298 m/s). This is too low by about 15%. The discrepancy is due primarily to neglecting the (then unknown) effect of rapidly-fluctuating temperature in a sound wave (in modern terms, sound wave compression and expansion of air is an adiabatic process, not an isothermal process). This error was later rectified by Laplace.

Basic concepts

The transmission of sound can be illustrated by using a model consisting of an array of spherical objects interconnected by springs.
In real material terms, the spheres represent the material's molecules and the springs represent the bonds between them. Sound passes through the system by compressing and expanding the springs, transmitting the acoustic energy to neighboring spheres. This helps transmit the energ…

Equations

The speed of sound in mathematical notation is conventionally represented by c, from the Latin celeritas meaning "velocity".
For fluids in general, the speed of sound c is given by the Newton–Laplace equation:
where
• Ks is a coefficient of stiffness, the isentropic bulk modulus (or the modulus of bulk elasticity for …

Dependence on the properties of the medium

The speed of sound is variable and depends on the properties of the substance through which the wave is travelling. In solids, the speed of transverse (or shear) waves depends on the shear deformation under shear stress (called the shear modulus), and the density of the medium. Longitudinal (or compression) waves in solids depend on the same two factors with the addition of a dependence on compressibility.

Altitude variation and implications for atmospheric acoustics

In the Earth's atmosphere, the chief factor affecting the speed of sound is the temperature. For a given ideal gas with constant heat capacity and composition, the speed of sound is dependent solely upon temperature; see § Details below. In such an ideal case, the effects of decreased density and decreased pressure of altitude cancel each other out, save for the residual effect of temperature.

Details

For an ideal gas, K (the bulk modulus in equations above, equivalent to C, the coefficient of stiffness in solids) is given by
Thus, from the Newton–Laplace equation above, the speed of sound in an ideal gas is given by
where

Effect of frequency and gas composition

The medium in which a sound wave is travelling does not always respond adiabatically, and as a result, the speed of sound can vary with frequency.
The limitations of the concept of speed of sound due to extreme attenuation are also of concern. The attenuation which exists at sea level for high frequencies applies to successively lower frequencies as atmospheric pressure decreases, or as the mean free path increases. For this rea…

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 ma…
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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…
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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 ...
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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 The above equation is useful for solving mathematical problem…
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