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Homework Help: Traveling Wave speed

  1. Jul 12, 2008 #1
    A wave travels along a string at a speed of 280m/s. What will the speed if the string is replaced by one made of the same material and under the same tension but having twice the radius?

    V = root (Tension/mu)

    mu = mass/length

    length is 2radii

    I manipulated the formulas, however, apparently you divide the velocity by 2, but I found it to be multiplied by root2.
    Please show me the manipulation of the formulas...
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
  3. Jul 12, 2008 #2


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    Homework Helper

    Assuming uniform density what happens when you double the cross-section of the string that remains the same length? Does the total mass of the string change? By how much?

    Plug in your numbers then and see what happens.
  4. Jul 12, 2008 #3
    The mass also doubles...but I don't see how it relates to the other formula for velocity...
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