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Speed of sound

physical science Maturity 7-9 Next article →

The speed of sound is the distance a sound wave travels per unit of time as it moves through an elastic medium. More simply, it is the speed at which vibrations propagate through a substance. This measurement is vital for understanding everything from how we hear to how objects move through the atmosphere. In everyday speech, people usually refer to the speed of sound in air. At sea level, the speed of sound in dry air is approximately 343 meters per second. This is roughly 767 miles per hour, or one mile every five seconds.

Speed of sound in dry air
Speed of sound in dry air

How sound moves depends entirely on the medium it is traveling through. Sound waves move through different states of matter at very different rates. Typically, sound travels most slowly in gases. It moves faster in liquids and fastest in solids. For example, sound travels in fresh water at 1,437.8 meters per second at 8 degrees Celsius. This is about 4.3 times faster than in air. In iron, sound travels almost 15 times faster than in air. In extremely stiff materials like diamond, sound reaches 12,000 meters per second. This is roughly 35 times its speed in air and is one of the fastest speeds possible under normal conditions.

There are different types of waves that carry sound. In fluids, which include both gases and liquids, sound consists only of compression waves. These are also called longitudinal waves. They work by compressing and decompressing the medium in the direction the wave travels.

Onde compression impulsion 1d 30 petit
Onde compression impulsion 1d 30 petit

Solids are unique because they support two types of waves. They carry compression waves, but they also carry shear waves, also known as transverse waves.

A shear wave involves a sideways motion perpendicular to the direction of travel. Because these waves move at different speeds, they can arrive at different times. This is seen in seismology during earthquakes, where compression waves arrive before the rocking shear waves.

Scientists have spent centuries trying to measure and understand this speed. In 1630, Marin Mersenne used the flash and sound of a gun to find a value of 448 meters per second. In 1709, William Derham used a telescope and a half-second pendulum to observe shotgun flashes. He conducted many tests to see how wind, pressure, and humidity affected the sound. He discovered that wind blowing toward an observer makes the speed of sound appear faster. In 1826, Jean-Daniel Colladon and Charles Sturm measured the speed of sound in Lake Geneva. They used a gunpowder blast and a bell to find a value of 1,437.8 meters per second.

Speed of sound in water
Speed of sound in water

Mathematical understanding of sound also evolved through many corrections. Sir Isaac Newton included a calculation for the speed of sound in his 1687 work, *Principia*. However, his value was about 15% too low. Newton did not realize that sound wave compression is an adiabatic process. This means the temperature fluctuates rapidly during the wave's passage. Pierre-Simon Laplace eventually solved this discrepancy. He used data from an 1819 experiment by Clément and Desormes regarding the heat capacity ratio of air. By applying these principles, the theory finally matched experimental results.

Comparison US standard atmosphere 1962
Comparison US standard atmosphere 1962

In fluid dynamics, the speed of sound is used to measure how fast objects move through a medium. Scientists use the Mach number to describe this relationship. The Mach number is the ratio of an object's speed to the speed of sound in that same medium. When an object moves faster than the speed of sound, it is traveling at supersonic speeds.

FA-18 Hornet breaking sound barrier (7 July 1999) - filtered
FA-18 Hornet breaking sound barrier (7 July 1999) - filtered

In Earth's atmosphere, this speed is not constant. It varies from about 1,000 meters per second at high altitudes to much higher values in hot temperatures.

The speed of sound is influenced by several physical properties. In fluids, the speed is determined by the medium's compressibility and its density. In solids, the speed of compression waves depends on compressibility, density, and the shear modulus. The shear modulus is a measure of how a material resists deformation. The speed of shear waves in solids is determined only by the shear modulus and the density.

Underwater speed of sound
Underwater speed of sound

These complex interactions between temperature, pressure, and material stiffness make the study of sound waves a fundamental part of physics.

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🖼️ Images & Media (7)
File:FA-18 Hornet breaking sound barrier (7 July 1999) - filtered.jpg
FA-18 Hornet breaking sound barrier (7...
File:Onde compression impulsion 1d 30 petit.gif
Onde compression impulsion 1d 30 petit.gif
File:Onde  cisaillement impulsion 1d 30 petit.gif
Onde cisaillement impulsion 1d 30 petit.gif
File:Comparison US standard atmosphere 1962.svg
Comparison US standard atmosphere 1962.svg
File:Speed of sound in dry air.svg
Speed of sound in dry air.svg
File:Speed of sound in water.svg
Speed of sound in water.svg
File:Underwater speed of sound.svg
Underwater speed of sound.svg
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