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Problem: A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.900mand a mass of 6.75 g . Part A What is the frequency f1 of the string's fundamental mode of vibration? Express your answer numerically in hertz using three significant figures. 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 = 16 kHz? Express your answer exactly.

FREE Expert Solution

For the fundamental mode, the required frequency is:

f1=12lTlm

The highest number of harmonic, n:

n=fnf1

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Problem Details

A piano tuner stretches a steel piano wire with a tension of 765 N. The steel wire has a length of 0.900mand a mass of 6.75 g . 

Part A 

What is the frequency f1 of the string's fundamental mode of vibration? Express your answer numerically in hertz using three significant figures. 

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 = 16 kHz? Express your answer exactly.

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Based on our data, we think this problem is relevant for Professor Atterholt's class at Western Carolina University.