Pendulum Calculator (Frequency & Period)

Enter the acceleration due to gravity and the length of a pendulum to calculate the pendulum period and frequency. On earth the acceleration due to gravity is always approximately 9.81 m/s^2.

Pendulum Calculator

The following two formulas are used to calculate the period and frequency of a simple pendulum. In this case, a simple pendulum is described as having no other external forces acting on it. This includes air resistance.

T = 2π * √(L/g)

  • Where T is the period (seconds)
  • L is the length
  • g is the acceleration due to gravity

f = 1/T = 1/2π * √(g/L)

  • Where f is the frequency
  • L and g are length and acceleration as before

Pendulum Definition

A pendulum is any weight suspended from a pivot that swings freely under no additional forces other than gravity.

How to calculate pendulum period?

How to calculate a pendulum period?

  1. First, determine the length.

    Measure the length from the center of the mass to the pivot point.

  2. Next, determine the acceleration due to gravity.

    On earth the acceleration is 9.8 m/s^2.

  3. Finally, calculate the pendulum swing period.

    Using the formula above, determine the time period.


What is a pendulum frequency?

A frequency is the number of periods per second.

pendulum calculator