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Physics

Simple pendulum period calculator

Calculate the period and frequency of an ideal simple pendulum at a small displacement.

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01

Your inputs

The starting values are an example.

Measured from the pivot to the centre of mass of the pendulum bob.

Decimals: 12.5 · Thousands: 1,234.56. Follow the field instructions for lists.

02

Your result

Enter your values and select Calculate.

Your calculation will appear here.

Your result will include the relevant values and units.

Understand the calculation

Formula and example

How it is calculated

T = 2π × √(L/g); f = 1/T

Worked example

A pendulum 1 m long has a period of approximately 2.006 seconds when g = 9.81 m/s².

Things to check

  • One complete oscillation includes both the outward and return movement.
  • The approximation applies to small angles. Larger displacements increase the actual period.

Sources and references