Pendulum Equations

Using the following equations, you can compute the period and forces of a simple pendulum.

The variables you will need to solve this problem are represented graphically in Figure 1, below:

Figure 1. Pendulum Equation Variables.

To determine the period of the pendulum, simply apply the following equation:

where L is the length in meters, g is gravity (9.08665 m/s² in the metric system), and T is time in seconds.

To determine the force of the pendulum, use the following equation:

where M is the mass in kilograms, g is gravity, and F is force in Newtons.