A friend of yours, a guitarist knows that you are a good physicist and ask you f

Question

A friend of yours, a guitarist knows that you are a good physicist and ask you for assistance in solving a problem. Your friend explain that he keeps breaking repeatedly the low E string (640Hz) on his Gibson A friend of yours, a guitarist knows that you are a good physicist and ask you for assistance in solving a problem. Your friend explain that he keeps breaking repeatedly the low E string (640Hz) on his Gibson A friend of yours, a guitarist knows that you are a good physicist and ask you for assistance in solving a problem. Your friend explain that he keeps breaking repeatedly the low E string (640Hz) on his Gibson

Explanation / Answer

T = tension = speed2*density*Area = (1900*12*2.54/100)2 * 8960*Area

Young's modulus for copper ~ 120,000,000,000 Pa

Y = TL/AdL

So, 120,000,000,000 = (1900*12*2.54/100)2 * 8960 * L / dL

dL/L = 0.0250417047552

Since this is higher than 0.02 or 2% which breaks the string, the reason for broken strings is too much tension in the wire.

By loosening up the string, it can be saved.

Since the frequency of 640 Hz has to be maintained in order to play the guitar,

the ratio of (tension / linear density) has to be maintained

So, for lower tension, the linear mass density has to be reduced.

So, we need to use a thinner copper string.

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