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The beat detected on a moving platform

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A speaker fixed to a moving platform moves to a wall, emitting a steady sound with a frequency of 250Hz. A person on the platform, right next to the speaker detects the sound waves reflected off the wall, and those emitted by the speaker.

How fast should the platform move, vp, for the person to detect a beat frequency of 4.00Hz? (Take the speed of sound to be 344m/s)

(Solve to three significant figures.)

vp = _______________________________ m/s

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The beat detected on a moving platform is examined.

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Please see the attachment.

A few points to remember about Doppler's effect

1. If the source is moving towards the listener the wavelength of the sound produced in the air is less then with stationary source and hence the frequency increases. The frequency heard is

Here f0 is the frequency of the source, c is speed of wave and vs is the speed of the source.

2. If the source is moving away from the listener the wavelength of sound is more than usual and hence the frequency increases. The frequency is given by

Thus the equation is the same if we consider that the source is moving with negative ...

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