The period t of a simple pendulum depends
on the length l of the pendulum and the acceleration of
gravity g (dimensions l/t^2). (a) find a simple combination of
l and g that has the dimensions of time. (b) check the
dependence of the period t on the length l by measuring
the period (time for a complete swing back and forth) of
a pendulum for two different values of l. (c) the correct
formula relating t to l and g involves a constant that is a
multiple of pi, and cannot be obtained by the dimensional
analysis of part (a). it can be found by experiment as in
part (b) if g is known. using the value g = 9.81 m/s² and your
experimental results from part (b), find the formula relating t
to l and g.