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What is the mass of a string that is 17 cm long and has a fundamental frequency of 792 Hz when under a tension of 1.7 kN?

Question

What is the mass of a string that is 17 cm long and has a fundamental frequency of 792 Hz when under a tension of 1.7 kN?
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Solution 1

To solve this problem, we need to use the formula for the fundamental frequency of a vibrating string, which is:

f = (1/2L) * sqrt(T/μ)

where: f is the frequency, L is the length of the string, T is the tension in the string, and μ is the linear density (mass/length) of the string.

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