1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?