A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wi
ID: 1289487 • Letter: A
Question
A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.600m and a mass of 4.50g.Part A: what is the frequency f1 of the string's fundamental mode of vibration?
Part B: what is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f=16kHz? A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.600m and a mass of 4.50g.
Part A: what is the frequency f1 of the string's fundamental mode of vibration?
Part B: what is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f=16kHz?
Part A: what is the frequency f1 of the string's fundamental mode of vibration?
Part B: what is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f=16kHz?
Explanation / Answer
V = sqrt(T/u) = sqrt(TL/m) = 319.37 m/s
A) fo = V/2L = 266.14 Hz
B) f = n*fo
n = 60
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