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Homework Help: Displacement and pressure in sound wave

  1. Dec 17, 2003 #1
    there is one formula given as follow

    (max pressure ) = (speed of wave)X(density of medium)X(angular frequency of the wave ) X (maximum displacement)

    in the book, there is no working shown how to arrive to this formula. anyone can show me the steps? thank you.


    (sorry, i dont know how to insert the symbols)
     
  2. jcsd
  3. Dec 17, 2003 #2
    consider

    [tex]
    s=s_m\sin(kx-\omega t)[/tex]

    [tex] \Delta p=-B\frac{ds}{dx}[/tex]

    [tex]\Delta p(x,t) = Bks_m\sin(kx-\omega t)[/tex]

    [tex]
    B=\rho v^2
    [/tex]

    [tex]k=\frac{\omega}{v}[/tex]

    hence u get
    [tex]\Delta p_m=\omega v \rho s_m [/tex]
     
    Last edited: Dec 17, 2003
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