How to calculate fundamental frequency?

Posted on 2015-11-30 07:09:00 in Physics by EDWARD

1. A violin string has a standard length of 32.8 cm. It sounds a musical note A (440 Hz) when played without fingering. How far from the end of the string, ?y, should you place your finger to play 737 Hz?

2. A string with a mass density µ = 8.00×10-3 kg/m is under a tension of F = 439 N and is fixed at both ends. One of its resonance frequencies is 468.0 Hz. The next higher resonance frequency is 624.0 Hz. What is the fundamental frequency of this string?

3, Which harmonic does the resonance frequency at 468.0 Hz correspond to (i.e., what is n)?

4. What is the length of the string?

I got the answer for the first question, which is 13.22 cm but I do not know what to do for questions 2-3.

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