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Mechanics
 
Aim: to use a Simple Pendulum to measure the Acceleration due to Gravity
See The Simple Pendulum
 
Theory suggests that the time period of a simple pendulum can be calculated using the following equation
where L is the length of the pendulum (measured to the centre of mass of the bob) and g is the accelerations due to gravity.
This experiment can, in fact, be considered to have two aims:
1. after measuring the time periods* of pendulums (pendula?) of various lengths, a graph can be plotted to verify the relation between T and L
2. a value of g can be taken from the graph.
* to measure T, you will, of course, measure the time for many oscillations, for the obvious reason...
Error Analysis
The accepted value for g (in Paris) is 9.81Nkg-1.
Calculate the percentage difference between your final figure for g and the accepted value.
 
Take a measurement of T corresponding to a length of 0.3m.
Calculate the uncertainty in this result assuming that your reaction time is 0.15s (probably a slightly pessimistic assumption... if you're more or less awake while performing the experiment).
State your figure for the acceleration due to gravity as g Δg ms-2 and then as gms-2 x%
 
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