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

The frequency of a vibrating string is set to 15, 20, 25, 30, or 35 Hz and the length needed to attain a standing wave (mode 1) is recorded. A graph of frequency versus 1/L is recorded. Calculate the mass per unit length of the string.

The resulting graph has the equation y=9.15x + 1.03

2. Relevant equations

f= m/2L x (sqrt(T/mu))

m=1

T=tension= 1470 g m/s^{2}

L=1m

3. The attempt at a solution

I assumed it had something to do with the slope, which would be equal to 1/2L x sqrt(T/mu). That doesn't make solving for mu any easier though, so what's the point? If I set 9.15 equal to this, mu comes out to be 1.09 g/m, is this right? Gah, I'm so confused!

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# Calculating the mass per unit length of a string based on the graph of f vs. 1/L

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