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In an ideal gas (see The Kinetic Theory of Gases), the equation for the speed of sound is \[v = \sqrt{\frac{\gamma RT_{K}}{M}}, \label{17.6}\] where \(\gamma\) is the adiabatic index, R = 8.31 J/mol • K is the gas constant, T K is the absolute temperature in kelvins, and M is the molecular mass.
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: \begin{equation} \label{Eq:I:47:21} c_s^2 = \biggl(\ddt{P}{\rho}\biggr)_0. \end{equation} In evaluating this rate of change, it is essential to know how the temperature ...
Any disturbance that complies with the wave equation can propagate as a wave moving along the x-axis with a wave speed v. It works equally well for waves on a string, sound waves, and electromagnetic waves. This equation is extremely useful. For example, it can be used to show that electromagnetic waves move at the speed of light.
In my acoustics books I see $$c^2 = \frac{\mathrm{d}P}{\mathrm{d}\rho}$$ where $c$ is the speed of sound, $P$ is the pressure and $\rho$ is the density. Where does this equation come from? In my ...
The Doppler effect is an alteration in the observed frequency of a sound due to motion of either the source or the observer. The actual change in frequency is called the Doppler shift.
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
At normal atmospheric pressure, the temperature dependence of the speed of a sound wave through dry air is approximated by the following equation: v = 331 m/s + (0.6 m/s/C)•T where T is the temperature of the air in degrees Celsius.
