Muchas Gracias A flagpole consists of a flexible, 4.95 m tall fiberglass pole pl

Question

Muchas Gracias

A flagpole consists of a flexible, 4.95 m tall fiberglass pole planted in concrete. The bottom end of the flagpole is fixed in position, but the top end of the flagpole is free to move. What is the lowest frequency standing wave that can be formed on the flagpole, if the wave propagation speed in the fiberglass is 2730 m/s? Suppose that a standing wave on the flagpole gives rise to a sound wave of the same frequency. A person would be able to hear the sound produced by the above standing wave, since the average human being can detect sounds at frequencies between 20.0 Hz and 20.0 kHz. A nearby mouse, however, can only detect frequencies between 1.01 kHz and 90 0 kHz What is the lowest flagpole harmonic that the mouse can hear?

Explanation / Answer

in fundamental mode wavelength = 4 L
f = v/wavelength = v/(4L) = 2730/(4*4.95)=137.87 Hz

modes come in odd multiples 1,3,5,7
so need 5 to make audible to mouse for 3rd mode

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