The period was the dependent variable, whereas the pendulum's length was the independent variable. The pendulum's mass and the point of release were the controlled variables.
The graph between the pendulum's period T and length l would be a parabola if the period T were plotted as a function of the square root of the length L.
The length of the rope and the gravitational acceleration determine the simple pendulum's swing duration. It is independent of the bob's mass.
Suppose the length of a simple pendulum, L, is equal to the earth's radius, R, and L = R = 6.4 x 106 m, then the time interval, T, is equal to R/2g.
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