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The time period of a pendulum only depends on two things: The gravitational field strength (which is approximately constant, here on Earth) and the length of the pendulum.
It does not depend on the mass of the pendulum or the amplitude of the oscillations (well... for small oscillations, anyway.... but that's a different experiment).
In this video I demonstrate how the time period changes with length. The pendulum is allowed to oscillate a number of times for each length: The time period can be found by measuring the time for, say, 10 oscillations, and then dividing that time by 10.
The results from this experiment can actually be used to calculate the gravitational field strength:
Plot a graphs of the length in metres (on the y-axis) against time period squared (on x-axis).
The gradient of the resulting graph is equal to the gravitational field strength divided by (2 Pi) squared.