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Each string on a violin is tuned a fifth higher than the one below it (there...

Each string on a violin is tuned a fifth higher than the one below it (there are four strings; from lowest pitch to highest they are G, D, A, and E), so that each has a frequency 3/2 that of the one below it. The A string typically has a frequency of 440 Hz, a diameter of 0.45mm and a bridge-to-pegbox length of 325 mm. Assume the strings are made of steel (density 7800 kg/m3).
a. What is the tension in the A string?
b. In order for the tension to be the same in all of the strings, what must their diameters be?

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