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. The 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 371 N because the wire is stretched between two poles that are 12.21 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

f = v/2l
v = sqrt(T/(m/l))
= 162.788
f = v*(12.21*2) = 6.666Hz <-- fundamental frequency
f2 = 2*6.666 = 13.33
f3 = 3 * 6.666 = 19.998 <--- minimum frequency(20Hz)
Hence n = 3 (or 4)

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