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. Add question