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Help with displacement and velocity of waves on a string (using trig)

  1. May 11, 2010 #1
    Hello all,

    excited to be on the forums. I'm having trouble solving a problem from one of my past exams (prepping for final). Could you please guide me?

    The displacement associated with a wave on a string has the functional form y = 0.2 cos (10x - 4t). What is the wave speed?

    The answer is 0.4 m/s...but how do I get here? what is really bothering me is the "10x"...I'm used to the format y = Acos(wt), where wA = v.


    thanks!

    ninja
     
  2. jcsd
  3. May 11, 2010 #2
    Use the wave equation since it is a wave.
     
  4. May 11, 2010 #3
    yeah...but what do I do with the "10x"?
     
  5. May 11, 2010 #4
    There is no 10x you are using the differential wave equation right?
    [tex]
    \frac{\partial^2\psi}{\partial x^2} = \frac{1}{v^2}\frac{\partial^2\psi}{\partial t^2}
    [/tex]
     
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