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Waves

Calculations Involving the Doppler Effect

Velocity of sound relative to air = v

Frequency of emitted sound = f

Apparent frequency of received sound = f’.

Moving Source (stationary observer)

If the source moves with a velocity of magnitude vs (relative to the air) then the velocity of the waves relative to the source is (v±vs).

In general,

so in this case,

The apparent frequency of the sound, f’, as measured by the observer, will be equal to v/DELTASMRED.

Therefore, the apparent frequency is given by

 

 

 

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