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Pendulum swing from 1deg to 2 deg

  1. Dec 1, 2009 #1
    A pendulum swings through a maximum arc of one degree in 1 sec. Later, the pendulum is made to swing through a max of 2 degrees. What is the time required for the 2 degree arc?




    T = 2pi(L/g)^(1/2)

    Is the time the same since the swing depends on only the length and gravity due to acceleration?
     
  2. jcsd
  3. Dec 1, 2009 #2
    Hi there,

    Have you never used a swing a kid, and noticed that the period is the same whether you rock just a bit or whether you make the whole structure jump around. This is a real life problem. Now if you want to have a mathematical model that explain that, you gave the equation, in which the amplitude of the movement is not involved in the period.

    And it works. Mathematical modeling can explain a real life problem. YEAH!!!

    I did not sutdy all these years for nothing.

    Just kidding about the last part.

    Cheers
     
  4. Dec 1, 2009 #3

    Redbelly98

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    Yes.
     
  5. Dec 1, 2009 #4
    Thanks for the confirmation :smile:
     
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