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The equation for the period of a simple pendulum starting at a small angle (a) is: T = 2pi*SQRT(L/g). or. T = 2Ïâ(L/g). where. 1  T is the period in seconds (s). 2  pi = 3.14 (it is also written as the Greek letter Ï).quations for period and frequency. The period of the motion for a pendulum is how long it takes to swing back-and-forth, measured in seconds. Period is designated as T. The frequency of a pendulum is how many back-and-forth swings there are in a second, measured in hertz. Frequency is usually designated as f.
The period for a simple pendulum does not depend on the mass or the initial anglular displacement, but depends only on the length L of the string and the value of the gravitational field strength g, according to The mpeg movie at left (39.5 kB) shows two pendula, with different lengths.ith the assumption of small angles, the frequency and period of the pendulum are independent of the initial angular displacement amplitude. All simple pendulums should have the same period regardless of their initial angle (and regardless of their masses).