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Representing Velocity, Acceleration, and Jerking as compressional waves.

  1. Jan 15, 2009 #1
    1. The problem statement, all variables and given/known data
    [tex]\vec{Velocity}[/tex] = [tex]\Delta[/tex]Displacement/[tex]\Delta[/tex]Time
    [tex]\vec{Acceleration}[/tex] = [tex]\Delta[/tex]Velocity/[tex]\Delta[/tex]Time
    [tex]\vec{Jerk}[/tex] = [tex]\Delta[/tex]Acceleration/[tex]\Delta[/tex]Time

    Represent the above as compressional waves. Define their frequency and amplitude as functions.

    2. Relevant equations
    See above.

    3. The attempt at a solution
    No clue what the hell my teacher is talking about... I think he means like amplitude would be Acceleration * Time, and Frequency would be 1 / Time, but I don't know.
     
  2. jcsd
  3. Jan 16, 2009 #2
    Hmm, well the wave equation governing compressional waves is:

    [tex]\bigtriangleup \Theta - \frac{1}{c_c^2}\frac{\partial ^2\Theta}{\partial t^2}[/tex]

    Where [tex]\Theta[/tex] is the divergence of the displacement field, and [tex]c_c^2=\frac{2\mu+\lambda}{\rho}[/tex] (\mu and \lambda are the lame constants.)

    But exactly what does your teacher want with the question?
     
  4. Jan 17, 2009 #3
    Isn't that transverse waves? I'm doing poorly in physics...
     
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