A guitar string is 90 cm long and has a mass of 3.7 g . The distance from the br

Question

A guitar string is 90 cm long and has a mass of 3.7 g . The distance from the bridge to the support post is L=62cm, and the string is under a tension of 540 N .

What are the frequencies of the fundamental and first two overtones?

Express your answers using two significant figures. Enter your answers in ascending order separated by commas.

876.9,584.6 Hz but it keeps saying that Your answer does not have the correct number of comma-separated terms.

Im not sure if this is right or if I am doing something wrong

Explanation / Answer

first

p= 0.0037 / 0.9 = 0.004111kg/m

f = ( 1 /2 * L) * sqrt(t/)

f = (1 / 2* 0.62) * sqrt(540 / 0.004111)= 292.28[Hz] fundamental frequency

f2 = 292.28 * 2 = 584.56[Hz] , (2nd. harmonic 1st. overtone)

f3 = 292.28*3 = 876.84[Hz] , (3rd. harmonic 2nd. overtone)

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