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Pendulum of unknown length and unknown g, only period given

  1. Sep 27, 2012 #1
    1. The problem statement, all variables and given/known data

    Pendulum of unknown length, l, has period of 9.32 seconds. Length is increased by 1 metre, and time period increases to 9.734 seconds. Calculate original length of pendulum and determine whether the experiment was conducted on earth. Hint: g is not assumed to be 9.81 ms^-2, you must find both g & l

    2. Relevant equations

    x(t) = A1 cos vnt + A2 sin vnt?


    3. The attempt at a solution

    Really not sure where to start, due to the two unknowns!
     
  2. jcsd
  3. Sep 27, 2012 #2

    mfb

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    Can you express the period as function of g and l?
    For both pendulum lengths, you get an equation, so you have two unknowns and two equations.
     
  4. Sep 27, 2012 #3
    T=2pi(sqrt(l/g) ?
     
  5. Sep 28, 2012 #4

    mfb

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    That is right, and it will help you.
     
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