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Homework Help: Time taken for wave to travel up rope.

  1. May 11, 2010 #1
    1. The problem statement, all variables and given/known data
    "Geologist A" at the bottom of a cave signals to his colleague "Geologist B" at the surface by pushing a 13kg box of samples from side to side. This causes a transverse wave to propagate up the 63.0m rope. The total mass of te rope is 12.0kg. Take g=9.8m/s2
    How long does it take for the wave to travel from the bottom of the cave to the surface?
    ANS: 2.04s

    2. Relevant equations
    dt=dz/v(z) (where z is distance)
    &equation listed below?

    3. The attempt at a solution
    V(z) = sqrt[(Meu*z+mass of box)g / (Meu)]
    Integrate this between 82 and 0?
    If so how do you go about integrating this equation?
     
  2. jcsd
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