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The mass of a string is 9.1 × 10-3 kg, and it is stretched so that the tension in it is 240 N. A transverse wave traveling on this string has a frequency of 240 Hz and a wavelength of 0.42 m. What is the length of the string?

  • Physics -

    The speed of the transverse wave is
    V = (frequency) x (wavelength)
    = 100.8 m/s

    V = sqrt(T/sigma)
    where T is the tension (240 N) and sigma is the mass per unit length. Solve for sigma and use it to compute the length.

    Length = (Mass)/(sigma)

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