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Propagating Error in a Pendulum

  1. Feb 11, 2009 #1
    1. The problem statement, all variables and given/known data

    The length of a string attached to a pendulum is measured with a precision of (+or-)0.2. The time of the oscillation is measured to a precision of (+or-)0.1. How many periods must you measure so that the contribution of the uncertainty in time is smaller than the uncertainty in length, when calculating g?

    2. Relevant equations

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

    3. The attempt at a solution

    g=((2pi)^2(l+delta:l))/(T+delta:T)^2
    I dont know where to go from here.
    Delta l and T are the error in those measurements
     
  2. jcsd
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