In: Physics
Suppose you hear a car approaching and its horn is heard as a 3037. Hz tone. After passing, you hear 2430. Hz. (a) What was the Mach number of the car?
Doppler effect equation for moving source and stationary observer,
Observed frequency,
On approaching, AND On passing,
Taking the ratio,
Dividing numerator and denominator by ' v '
That is ,
Mach number is the Ratio of velocity of the body ( ) to the velocity of sound ( ) . That is,
here, f'1 = 3037 Hz and f'2 = 2430 Hz,
Substituting,
Rearranging,