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Finding the period of oscillation of a u-tube w/ water (almost solved)?

  1. Feb 4, 2009 #1
    1. The problem statement, all variables and given/known data
    Using the energy method( setting potential energy= kinetic energy) show that the natural period of oscillation of the fluid in a u-tube manometer is t=2PI(l/2g)^(1/2) where L is the length of the fluid column.
    2. The attempt at a solution
    [​IMG]

    So as you can see I do not know where the L is coming from, although i just fuged it in when I wrote what wn^2=2g/L. Where is the L coming from? wn^2 should equal coefficents of x divided by coefficents of xprime (aka velocity).
     
  2. jcsd
  3. Feb 4, 2009 #2

    LowlyPion

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    Homework Helper

    You might find this lecture interesting at just about the 21:00 minute mark.

     
    Last edited by a moderator: Sep 25, 2014
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