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Finding mass per unit length for stretched strng given tension?

  1. May 11, 2008 #1
    [SOLVED] Finding mass per unit length for stretched strng given tension?

    A transverse wave on a stretched string under Tension = 5N is defined by the equation:

    y(x,t) = 0.1cos(2pi/5(x - 10t)

    Find:

    a) amplitude = 0.1 m

    b) wavelength = 0.4 m

    c) angular frequency = 4 rad/s

    d) wave velocity = 0.1. m/s

    e) mass per unit length ???

    f) for t = 0, sketch how y varies with x. ???


    I can do the first 4 parts be using the solution to the wave equation. Any ideas on how to do the other two bits? thanks.
     
  2. jcsd
  3. May 11, 2008 #2
    Hey thanks for anyone for looking at this. However I have been able to solve it another way. If anyone is interested the answer is:

    wave speed v relates tension and density:

    v = root(T/rho)

    and you can set t=0 in that equation and you have something like y=acos(kx)
     
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