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Question

A small source of sound vibrating at frequency 500 Hz is rotated in a circle of radius 100π cm at a constant angular speed of 5.0 revolutions per second. A listener situates himself in the plane of the circle. Find the minimum and the maximum frequency of the sound observed. Speed of sound in air =332ms1.


Solution

According to given data,

Radius of the circle =100πcm

=100π×102m

=(1π) metres

ω=5 rev/sec

So the linear speed,

v=ωr=5π=(1.59)

So, Velocity of the source,

Vs=1.59 m/s

So, let at the position A, the observer will listen maximum andat the position B it will listen minimum frequency.

So apparent frequency at A

=(3323321.59)×500515Hz

So apparent frequency at B

=(332332+159)×500485Hz

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