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Sinusoidal Sound Wave Function

  1. Dec 12, 2009 #1
    1. The problem statement, all variables and given/known data

    A sinusoidal sound wave is described by the displacement wave function
    Code (Text):
    s(x,t)=(2.00 μm)cos⁡[(15.7 m^(-1) )x-(858 s^(-1) )t]
    b) Determine the instantaneous displacement from equilibrium of the elements of air at the position x = 0.050 m at t = 3.00 ms

    2. Relevant equations



    3. The attempt at a solution
    Code (Text):
       
    s (x,t)=(2.00 μm)  cos⁡[(15.7 m^(-1) )(0.050m)-(858 s^(-1) )(.003 s) ]
     
    Why is this this not correct?
     
  2. jcsd
  3. Dec 12, 2009 #2

    rl.bhat

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    Homework Helper

    Your substitutions are correct.
    What is s = ?
     
  4. Dec 13, 2009 #3
    s = 3ms
    the answer is supposed to be -.433 μm
     
  5. Dec 13, 2009 #4

    rl.bhat

    User Avatar
    Homework Helper

    When you simplify the terms inside the bracket, you get 1.789 rad. To find the cos of this, either change the mode in your calculator to RAD or convert 1.789 rad to degrees and then solve for s.
     
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