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Deriving the Equation for Period of Simple Pendulum? Is my attempt correct?

  1. Oct 1, 2011 #1
    1. The problem statement, all variables and given/known data
    I have to derive an equation with the following variables:
    T= period
    m= mass
    Theta= angle
    l= length

    and I was told to think of the period as the perimeter of a circle.


    2. Relevant equations



    3. The attempt at a solution
    [tex]C=2\pi r,C/2=\pi r,d=\pi r,(at^2)/2=\pi r,t=\sqrt{\frac{2\pi r}{Ef/m}},t=\sqrt{\frac{2\pi rm}{sin\Theta r }}[/tex]
     
  2. jcsd
  3. Oct 1, 2011 #2

    rock.freak667

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    Homework Helper

    It is simpler to just draw the pendulum's arc and then use then use the tangential component as the resultant force (F=ma).

    This will help you prove that for small angles, the motion is simple harmonic and then the period will be easier to find.
     
  4. Oct 2, 2011 #3
    I have not come across any of the terminology you have just said.
    I doubt I would be allowed to use that method.

    Could you describe it in another way or comment on my attempt?
     
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