In a classroom demonstration, a speaker was mounted on the end of a 50.0 cm long

Question

In a classroom demonstration, a speaker was mounted on the end of a 50.0 cm long arm and rotated in a horizontal circle at a constant angular speed of 75.0 rpm. The speaker emitted sound at a constant frequency of 441 Hz. The speed of sound was 343 m/s.

A. Calculate the range of sound frequencies heard by the students in the classroom.

B. If the sound intensity levels at a distance of 6.59 m from the speaker is 99.0 dB, calculate the rate at who h the speaker is producing sound energy.

Please show all of your work and units.

Thanks.

Explanation / Answer

using doppler effect

Approaching Source:

fobserved   /fproduced= vsound /(vsound - vsource)

Max(Vsource)=+0.50x2x75.0=235.5m/s

Min(Vsource) =-235.5m/s

so fmax=1407.09 Hz

  fmin=261.4 Hz

261.4 Hz < F observerd < 1407.09 Hz

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