Modeling it as a pipe, find the frequency of the first overtone for a shower 2.60 m tall. Is this frequency audible?

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  • Modeling it as a pipe, find the frequency of the first overtone for a shower 2.60 m tall.
  • Is this frequency audible?

 

A pipe closed at both ends can have standing waves inside of it, but you normally don't
hear them because little of the sound can get out. But you can hear them if you are inside
the pipe, such as someone singing in the shower. The wavelengths of standing waves in a
pipe of length I that is closed at both ends are λ = 2L/n and the frequencies are given
by fn = nv/2L=nf₁, where n = 1, 2, 3, ....
Transcribed Image Text:A pipe closed at both ends can have standing waves inside of it, but you normally don't hear them because little of the sound can get out. But you can hear them if you are inside the pipe, such as someone singing in the shower. The wavelengths of standing waves in a pipe of length I that is closed at both ends are λ = 2L/n and the frequencies are given by fn = nv/2L=nf₁, where n = 1, 2, 3, ....
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