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16 October, 09:11

A cello string 0.75 m long has a 220 hz fundamental frequency. find the wave speed along the vibrating string. answer in units of m/s.

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  1. 16 October, 09:24
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    For fundamental frequency of a string to occur, the length of the string has to be half the wavelength. That is,

    1/2y = L, where L = length of the string, y = wavelength.

    Therefore,

    y = 2L = 2*0.75 = 1.5 m

    Additionally,

    y = v/f Where v = wave speed, and f = ferquncy

    Then,

    v = y*f = 1.5*220 = 330 m/s
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