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Homework Help: Wave displacement problem

  1. Apr 30, 2009 #1
    1. The problem statement, all variables and given/known data

    If y(x, t) = (6.7 mm) sin(kx + (705 rad/s)t + ϕ) describes a wave traveling along a string, how much time does any given point on the string take to move between displacements y = -2.0 mm and y = +2.0 mm?

    2. Relevant equations
    I'm not sure where to start.

    3. The attempt at a solution
    That's the problem.
  2. jcsd
  3. Apr 30, 2009 #2
    Re: Waves

    Fix the value of x. Easiest value - take x = 0.

    Then: y(0,t) = (6.7 mm) sin((705 rad/s)t)

    Let y = -2 mm
    Thus: 6.7sin(705t) = -2
    Now solve for t.

    Do the same for y = 2 mm

    Subtract the two values (smaller from the larger) to find the time taken to go from one to the other.
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