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!

The eqn and proof of energy of sinosiodal waves.

  1. Sep 13, 2005 #1

    Wen

    User Avatar

    I was asked to give the eqn and proof of energy of sinosiodal waves.
    However, I only know the enq of sinosiodal waves on string and to prove it.

    Energy= 1/2 (mass per unit length).(ang. freq.)^2.(amplitude)^2.wavelength

    So what is the eqn of energy of general wave. It is should be almost identical to the eqn above.
    But what about the mass per unit length. What replaces it?
    Is it multiplied with wavelength to give the mass of particle per wavelength?That's merely guessing?
    Could anymore tell me the answer?
     
  2. jcsd
  3. Sep 13, 2005 #2

    lightgrav

    User Avatar
    Homework Helper

    mass/length * length/wave = mass/wave .

    Because wA is MAXIMUM speed of the string,
    (using w=omega) you need another factor 1/2
    to get the average KE in ONE WAVE.
    In order to oscillate, the system must be able
    to shift Energy from KE to PE and back to KE,
    so the Energy spends half its time as PE.
    So the average PE in one wave is 1/2 your formula.

    Therefore, your formula is KE + PE = Etotal PER WAVE .

    If your general wave spreads out sideways,
    replace your mass/length with mass/area,
    and your wavelength with wavelength*width.

    If your wave spreads out vertically also,
    use mass/Volume and wavelength*width*height.
     
  4. Sep 13, 2005 #3

    quasar987

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    What about for an electromagnetic wave? To quote Wen,

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

Have something to add?



Similar Discussions: The eqn and proof of energy of sinosiodal waves.
  1. Energy in a wave (Replies: 1)

  2. Energy in waves (Replies: 0)

Loading...