The Mechanical Engineering Handbook



Speed of Sound

Speed of Sound Equation



$$ a = \sqrt{\frac{\gamma p}{\rho}} $$ where:

a   =   Speed of sound   (m/s)

γ   =   Adiabatic Index (Ratio of Specifc Heats)   (Dimensionless)

p   =   Pressure of the fluid   (Pa)

ρ   =   Density of the fluid   (kg/m³)


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Equation Assumptions



  • The temperature of the fluid remains constant.
  • Medium is homogeneous.
  • Process is adiabatic.
  • The fluid behaves as an ideal gas.