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Relationship between Period of a pendulum and length

  1. Nov 3, 2008 #1
    1. The problem statement, all variables and given/known data

    The formula to find the period of a pendulum is t=2pi √ L/g
    where pi = 3.14....
    L=length of pendulum

    So I was wondering how all of this was put together. How they related together? Why it is multiplied by 2pi

    3. The attempt at a solution
    I really don't know, it's I'm asking here. I tried graphing it and it gives me a curve.
  2. jcsd
  3. Nov 3, 2008 #2
    Hint: Write the equation for simple harmonic motion in terms of [itex]\theta[/itex]
  4. Nov 3, 2008 #3
    And use a small angle approximation. That is:

    [tex] sin \theta ~= \theta [/tex]

    This is applied when an angle is pretty small.
  5. Nov 3, 2008 #4
    thank you!
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