1. Limited time only! Sign up for a free 30min personal 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!

Finding Group Velocity and Phase Velocity

  1. Mar 20, 2013 #1
    The phase velocity of ocean waves is (gλ/2∏)1/2,where g is the acceleration of gravity.Find the group velocity of ocean waves.

    Relevant equations: λ=h/γmv phase velocity= c2/v(velocity of particle) group velocity=v (velocity of particle).
    thnxx in advance
  2. jcsd
  3. Mar 20, 2013 #2
    The wavenumber k:

    [itex]k = \frac{2\pi}{\lambda} [/itex]

    The wavenumber k is the angular frequency in space. The higher k is, the closer the wave peaks are together in space.

    The phase velocity is

    [itex]v_{phase} = \omega / k[/itex]

    where ω is the angular frequency in time

    the group velocity is

    [itex]v_{group} = \frac{ \partial \omega}{ \partial k}[/itex]

    I would express ω in terms of k, using the expression given for phase velocity. Then I would take the derivative of ω with respect to k.
  4. Mar 24, 2013 #3
    Thanks alot X
  5. Aug 9, 2015 #4
    Thank you so much :)
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted

Similar Discussions: Finding Group Velocity and Phase Velocity