Casual Speed Of Sound Equation

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 v elasticproperty inertialproperty.

Speed of sound equation. A2 R T 1 gamma - 1 1 gamma-1 thetaT2 e thetaT e thetaT -12. The speed of sound in a medium depends on how quickly the energy of the vibration can be transferred across the medium. The mathematical representation is given as.

It is the square root of the product of the coefficient of adiabatic expansion and pressure of the gas divided by the density of the medium. 475 The speed of sound. Appendix C gives the speed of sound in seawater.

For every degree Celsius above 0C the speed of sound increases by approximately 06 ms. For the specific example of dry air at 20C the speed of sound in air is 343 ms while the rms speed of air molecules is 502 ms using a mean mass of air molecules of 29 amu. The speed of sound is vsound ms fts mihr.

Where T is the Celsius temperature of the air through which the sound wave is moving. Our deduction of the wave equation for sound has given us a formula which connects the wave speed with the rate of change of pressure with the density at the normal pressure. Equation 20 is the same as equation 43 in Reference 1.

C γR m T 12 One implication of the above formula is that if the absolute temperature increases 1 percent then the speed of sound will increase 12 of 1 percent. This speed is the phase speed of transverse traveling waves. 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.

In an ideal gas see The Kinetic Theory of Gases the equation for the speed of sound is 1736 v γ R T K M where γ is the adiabatic index R 831 Jmol K is the gas constant T K is the absolute temperature in kelvins and M is the molecular mass. This video will present a derivation of the speed of sound. The speed of sound.