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Homework Help: Waves frequency and mass?

  1. Nov 29, 2006 #1
    1. The problem statement, all variables and given/known data

    The longest "string" (a thick metal wire) on a particular piano is 3.0 m long and has a tension of 300.0 N. It vibrates with a fundamental frequency of 27.4 Hz. What is the total mass of the wire? ( in kg)

    2. Relevant equations

    The only relevant equation I could find is v = square root of ( FL / m )
    or the linear mass density equations

    3. The attempt at a solution

    I move m to one side leaving m = FL / v^2 and tried velocity of sound 343 m/s but no luck.

    This seems to be the only viable equation to me and I either don't know how to convert 27.4 Hz to velocity or am completely lost.

    Thanks for any help
  2. jcsd
  3. Nov 29, 2006 #2


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    Science Advisor
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    What equations do you have for the frequency of a string under tension?
  4. Nov 29, 2006 #3
    Thanks found the equation and answer.
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