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Question

To review the concepts that play roles in this problem, consultMultiple-Concept Example 4. Sometimes, when the wind blows across along wire, a low-frequency "moaning" sound is produced. This soundarises because a standing wave is set up on the wire, like astanding wave on a guitar string. Assume that a wire (lineardensity = 0.0183 kg/m) sustains a tension of 148 N because the wireis stretched between two poles that are 8.98 m apart. The lowestfrequency that an average, healthy human ear can detect is 25 Hz.What is the lowest harmonic number n that could beresponsible for the "moaning" sound?

Chapter 17, Problem 28

Explanation / Answer

linear density m = 0.0183 kg/m
tension T = 148 N Length between two poles L = 8.98m Fundamental frequency f = ( 1/ 2L ) [ T /m ]                                       = 5 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                                                                                                                                        =25 Hz / 5 Hz                                                                                                                                       = 5

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