# Calculating g from formula for period of pendulum

1. Apr 11, 2010

### Shukie

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
$$g = \left(\frac{2 \pi}{T_0}\right)^2 L$$

$$T_0 = \frac{T(\phi_{max})}{1 + \frac{1}{16}\phi_{max}^2}$$

$$T(\phi_{max}) = 1.99433 \pm 0.00005 \ \mathrm{s}$$

$$\phi_{max} = 0.010 \pm 0.005$$ (radians)

$$L = 0.98967 \pm 0.00002$$

3. The attempt at a solution

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