First Class Velocity Of Sound Equation
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A general expression for the velocity of sound in gases is given by Equation 83 where γ is the ratio of the specific heats of the gas 1414 in the case of air P is the pressure and ρ is the density of the gas.
Velocity of sound equation. So the speed of sound in an ideal gas is For air at atmospheric pressure P 101 kPa and at T 20 C the density is 120 kgm3. Elastic or viscous or the superposition of such propagated oscillation. And p 0 is absolute pressure in pascals.
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. Sound is a oscillation in pressure stress particle displacement particle velocity etc propagated in a medium with internal forces. Repeat the procedure for the other tuning forks supplied.
We find therefore from the laws of mechanics that any sound disturbance propagates with the velocity cs and in addition we find that cs κ1 2 dP dρ1 20 and so we have related the wave velocity to a property of the medium. B Auditory sensation evoked by the oscillation in a. Sound Propagation Wave Equation Wikipedia.
Commonly found values for the speed of sound at 0 C may vary from 3312 to 3316 due to the assumptions made when it is calculated. An analysis based on conservation of mass and momentum shows that the speed of sound a is equal to the square root of the ratio of specific heats g times the gas constant R times the temperature T. We begin with the conservation of mass equation.
A sqrt g R T Notice that the temperature must be specified on an absolute scale Kelvin or Rankine. Speed of sound ms 3315 060 T C For example the speed of sound in air is 386 ms at 100 C. Mdot r u A.
83c γP ρ1 2. T is temperature in C. Speed of Sound Formula The speed of sound can be computed as speed of sound the square root of the coefficient ratio of specific heats the pressure of the gas the density of the medium.
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