
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% 