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Relationship of simple pendulum

  1. May 4, 2013 #1
    hi guys,

    I'm currently working on a physics report about a simple pendulum and cant figure out how to answer one of the questions:

    3. "define all terms in the solution(x(t)=Acos(ωt)) and especially the relationship between angular frequency, and periodic time, T."

    ive defined all the terms, A is amplitude, ω is angular frequency etc. but have no clue of the relationship between angular frequency, and periodic time?????

    I know that ω=2∏/T = 2∏f

    and

    T=2∏√l/g

    but don't get their relationship?

    any help will be great.

    cheers,
    Joel C.
     
  2. jcsd
  3. May 4, 2013 #2

    rock.freak667

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    This is your relationship here.

    The other formula you gave just gives the periodic time as a function of length.
     
  4. May 4, 2013 #3
    Thanks mate.

    So I something like "it can be established that the relationship between angular frequency and period time is:

    ω=2∏f"

    Do I say anything else? There is 2∏ in both equations, is that some sort of relationship?

    Cheers,
    Joel
     
  5. May 4, 2013 #4

    rock.freak667

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    The only other relation would be T=2π√(l/g), but generally you can leave it as that.

    In the derivation for the periodic time, you get to a point where ω2= g/l and that ω=2π/T as per its definition.
     
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