Sometimes, when the wind blows across a long wire, a low-frequency \"moaning\" s

Question

Sometimes, when the wind blows across a long wire, a low-frequency "moaning" sound is produced. This sound arises because a standing wave is set up on the wire, like a standing wave on a guitar string. Assume that a wire (linear density = 0.0140 kg/m) sustains a tension of 328 N because the wire is stretched between two poles that are 8.03 m apart. The lowest frequency that an average, healthy human ear can detect is 20.0 Hz. What is the lowest harmonic number n that could be responsible for the "moaning" sound?

Explanation / Answer

linear density m = 0.014 kg/m tension T = 328 N Length between two poles L = 8.03 m Fundamental frequency f = ( 1/ 2L ) v[ T /m ] = 9.53 Hz The lowest frequency that an average, healthy human earcan detect is f ' = 25 Hz ? the lowest harmonic number n that could beresponsible for the "moaning" sound is n =f ' / f =20 Hz / 9.53 Hz = 2.098

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