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Determine the mass per unit length of the string.

  1. Dec 5, 2009 #1
    1. The problem statement, all variables and given/known data
    A guitar's E-string has length 65 cm and is stretched to a tension of 85 N. It vibrates at a fundamental frequency of 329.79 Hz. Determine the mass per unit length of the string.
    1Your answer is in kg/m

    2. Relevant equations
    (mass per unit length) = (tension) / ((frequency)x(wave length))^2

    3. The attempt at a solution
    The tension is 85 N, and the freq is 329.79 Hz, and how do i figure out the wave length, it thought the wavelength was twice the e string length in cm.
  2. jcsd
  3. Dec 5, 2009 #2


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    Homework Helper

    Yes, wavelength is twice the string length because the string is vibrating at its fundamental frequency.
  4. Dec 5, 2009 #3
    ok, i get an answe 1.5e-5 but its not correct am i doing something wrong
  5. Dec 5, 2009 #4
    I think you forgot to convert cm to m, and you didn't square the value for frequency. Using that formula you are supposed to get a value of 4.6e-4 kg/m, correct me if I'm wrong.
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