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Question

In the figure shown, a source of sound of frequency 510 Hz moves with constant velocity vs=20m/s in the direction shown. The wind is blowing at a constant velocity vw=20m/s towards an observer who is at rest at point B. Find the frequency (in Hz) detected by the observer corresponding to the sound emitted by the source at initial position A. (speed of sound relative to air = 330 m/s)

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Solution

Let, the sound wave frequency be v=510 Hz
The speed of sound relative to air is u=330ms1
Now, the apparent frequency of sound detected by observer is
v=v(u+vwu+vwvscos60) (from figure)
v=510(330+20330+2020cos60) (given)
v=510(35035010)
v=510(350340)
v' = 525 Hz

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