Sonic Velocity Calculator

Formula

The formula to calculate the Sonic Velocity (Vs) is:

\[ Vs = \sqrt{\frac{y \cdot R \cdot T}{M}} \]

Where:

\( Vs \) is the sonic velocity (m/s).
\( y \) is the adiabatic constant.
\( R \) is the universal gas constant.
\( T \) is the absolute temperature (K).
\( M \) is the molecular mass of the gas.

What is Sonic Velocity?

Sonic velocity describes the speed at which sound travels through a medium. It is influenced by factors such as the medium's density and temperature. Understanding sonic velocity is crucial in fields like acoustics, aerodynamics, and material science.

Example Calculation

Consider an example where:

Adiabatic Constant (y): 1.4
Universal Gas Constant (R): 287 J/(kg·K)
Absolute Temperature (T): 300 K
Molecular Mass of the Gas (M): 0.029 kg/mol

Using the formula to calculate the Sonic Velocity:

\[ Vs = \sqrt{\frac{1.4 \cdot 287 \cdot 300}{0.029}} \approx 347.19 \text{ m/s} \]

This means that the sonic velocity for this example is approximately 347.19 m/s.