Physics of an Electric Guitar
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The solution provides physics of an electric guitar.
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i) C3 tells you the value of the wave speed. This is usually calculated for waves as v = f * L, where L is the string length, and f is the frequency. At the fundamental frequency, however, the length of one string "loop" is 0.5 the wavelength, so l = 2L, actually. And hence, the wave speed in m/s is given by: v = f * 2L or v = 2 * f * L.
ii) Well, volume is dimensionally just (length ^ 3). So, the volume in this case is just:
V = A * L, where A is the cross-sectional area of the string, and L is the string length. In this case, A = pi * R^2, and R = D/2, where D is the string diameter. Therefore,
The general formula ...
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