Pendulum Length Calculator

Calculate Pendulum Length



Formula

The formula to calculate the Pendulum Length (PL) is:

\[ PL = \frac{g}{4 \pi^2 f^2} \]

Where:

What is a Pendulum?

A pendulum is a weight suspended from a pivot so that it can swing freely. When a pendulum is displaced sideways from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. The length of the pendulum affects its period, or the time it takes to complete one full swing.

Example Calculation

Let's assume the following values:

Using the formula to calculate the Pendulum Length:

\[ PL = \frac{9.81}{4 \pi^2 (0.5)^2} \approx 0.99 \, \text{m} \]

The Pendulum Length is approximately 0.99 meters.