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Resultant Amplitude

A sound sourc...

Question

A sound source of frequency $f_{0}$ moves with speed $u_{S}$ relative to still air toward a receiver who is moving with speed $u_{[} r]$ relative to still air away from the source.
Write an expression for the received frequency $f$

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Solution

Given:
Original frequency = $f_{o}$
Velocity of sound source = $u_{s}$
Velocity of receiver moving away from the source = $u_{r}$
Expression for the received frequency = $f$ = $f_{o} (\frac{u_{s o u n d} - u_{s}}{u_{s o u n d} + u_{r}})$

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