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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.
Best Answer: Your formula for the complete cycle period of a SIMPLE pendulum is: T = 2*Pi*sqrt(L/g) L is the length, g is the local gravitational field. sqrt() indicates the square root function. And Pi is the famous 3.14159 number, the ratio of circumference to diameter of any circle. If you quadruple the length of a simple pendulum, you will double the period of swing. In order to triple the period, you would need to increase the pendulum's length 9-fold. I use and emphasize the word simple, because the contrary is a physical pendulum.