Speed of Sound

Written by Jerry Ratzlaff on . Posted in Classical Mechanics

speed of soundSpeed of sound, abbreviated as 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 formulas

\(\large{ a = \sqrt   { \frac {K }   {\rho}   }   }\)   
\(\large{ a = \sqrt   { k \;  \frac { p   } {\rho}   }   }\)   
\(\large{ a = \sqrt  { k\; R \;T_a }   }\)   
\(\large{ a = \frac{ d }{ t }  }\) (lightening strike distance)
\(\large{ a = \frac{v}{Ma}  }\) (Mach number)

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

\(\large{ d }\) = lightening strike distance

\(\large{ Ma }\) =  Mach number

\(\large{ p }\) = pressure

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

\(\large{ t  }\) = elapsed time between seeing the flash and hearing thunder

\(\large{ v }\) = velocity, speed of object