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Calculating g from formula for period of pendulum

  1. Apr 11, 2010 #1
    1. The problem statement, all variables and given/known data
    I want to calculate g from the formula for the period of a pendulum. The trouble is the uncertainties.

    2. Relevant equations
    [tex]g = \left(\frac{2 \pi}{T_0}\right)^2 L[/tex]

    [tex]T_0 = \frac{T(\phi_{max})}{1 + \frac{1}{16}\phi_{max}^2}[/tex]

    [tex]T(\phi_{max}) = 1.99433 \pm 0.00005 \ \mathrm{s}[/tex]

    [tex]\phi_{max} = 0.010 \pm 0.005[/tex] (radians)

    [tex]L = 0.98967 \pm 0.00002[/tex]

    3. The attempt at a solution

    I really have no idea. Do I use error propagation?
     
  2. jcsd
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