Speed of Sound

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

Speed of sound ( \(a\) ) depends on what the medium is and the temperature of the medium. It is the distance traveled for a specific time through a medium from particle to particle.

Speed of Sound Formula

(Eq. 1)  \(\large{ a = \sqrt   { \frac {K }   {\rho}   }   }\)

(Eq. 2)  \(\large{ a = \sqrt   { k   \frac { p   } {\rho}   }   }\)

(Eq. 3)  \(\large{ a = \sqrt  { k R T_a }   }\)

Where:

\(\large{ a }\) = speed of sound

\(\large{ T_a }\) = absolute temperature

\(\large{ K }\) = bulk modulus

\(\large{ \rho }\)  (Greek symbol rho) = density

\(\large{ R }\) = gas constant

\(\large{ p }\) = pressure

\(\large{ k }\) = ratio of specific heats