Calculating g from formula for period of pendulum

  • Thread starter Shukie
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Homework Statement


I want to calculate g from the formula for the period of a pendulum. The trouble is the uncertainties.

Homework 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]

The Attempt at a Solution



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

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