(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A guitar string has a fundamental frequency of 429 Hz when its tension is 259 N.

The string is being tuned to a fundamental frequency of 388 Hz. What is the required tension?

2. Relevant equations

v = sqrt(T/u): where v is the speed, T is the tension and u is the linear mass density

f1 = v/2L: where f1 is the fundamental frequency, v is the speed again and L the length of the string

3. The attempt at a solution

sqrt(T/u) = f1(2L)

sqrt(259/u) = 858L

I tried to use the speed equations to find u or L, which would allow me to calculate the v after and then get the frequency, but I'm still left with 2 unknowns. Am I using the wrong equations to solve this?

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# Homework Help: Fundamental frequency and tension

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