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Time Period Independent of Amplitude

A police sire...

Question

A police siren of frequency $f_{s i r e n}$ is attached to a vibrating platform. The platform and siren oscillate up and down in simple harmonic motion which amplitude $A_{P}$ and frequency $f_{P}$ .
Find the maximum and minimum sound frequencies that you would hear at a position directly above the siren.

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Solution

$f_{m a x} = f_{s i r e n} (\frac{v}{v - 2 π f A})$

$f_{m i n} = f_{s i r e n} (\frac{v}{v + 2 π f A})$

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Time Period Independent of Amplitude

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