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Grade 11Wave Motion

A whistle emitting a sound of frequency 440 Hz is tied to a string of 1.5m length and rotated with an angular velocity of 20 rad s^-1 in the horizontal plane. Calculate the range of frequencies heard by an observer stationed at a large distance form the whistle.

Simran Bhatia

12 Years agoGrade 11

1 Answer

Aditi Chauhan

12 Years ago

Hello Student,

Please find the answer to your question

The whistle which is emitting sound is being rotated in a circle.

We know that v = rω = 1.5 x 20 = 30 ms^-1

When the source is instantaneously at the position A, then the frequency heard by the observer will be

v’ = v [v/v – v_s] = 440 [330/330 – 30] = 484 Hz

when the source is instantaneously at the position B, then the frequency heard by the observer will be

v” = v[v / v + v_s] = 440 [330/330 + 30] = 403.3 Hz

Hence the range of frequencies heard by the observer is

403.3 Hz to 484 Hz.

Thanks
Aditi Chauhan
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