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I must use the wave equation to to find the speed of a wave.

  1. Mar 3, 2009 #1
    1. The problem statement, all variables and given/known data
    I must use the wave equation to to find the speed of a wave.

    y(x,t) = (3.0mm) sin [(4.00mm^-1)x - (7.00 s^-1)t]




    2. Relevant equations

    Here's the wave equation. It has strange symbols.
    (∂^2 y) / (∂ x^2) = (1 / v^2) ((∂^2 y)/ (∂^2 t)

    3. The attempt at a solution

    There's no way that I can attempt this solution if I don't know how to use this formula.
    Do I just take the derivative.
     
    Last edited: Mar 3, 2009
  2. jcsd
  3. Mar 3, 2009 #2
    Nevermind. I figured it out. V = (w/k)

    k= 4.00 mm^-1
    w = 7.00 s^-1

    V= 7/4 = 1.750 m/s
     
  4. Mar 3, 2009 #3
    I don't think your relevant equation is relevant for this problem. You have the equation of the wave for y-position as a function of x-position and time. What do you know about taking derivatives of position functions with respect to time?
     
  5. Mar 3, 2009 #4
    I know how to find Velocity and Acceleration, but when I derive these equations, I have a bit of trouble.
     
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