Simple Pendulum Period Calculator
Calculate the ideal small-angle oscillation period from pendulum length and gravitational acceleration.
How to use this calculator
- Enter pendulum length and local gravitational acceleration.
- Check that every input uses the stated units and covers the same period, population or project scope.
- Change one assumption at a time when comparing scenarios.
Formula used by simple pendulum period calculator
T = 2π√(L/g)
- T = 2π√(L/g)
- The approximation assumes a light string, point mass and small angular displacement; real damping and large swings are excluded.
- Inputs are validated against the tool-specific constraints; displayed results are rounded for readability.
Worked examples
Worked example
A one-metre ideal pendulum has a period of about two seconds under standard gravity.
The tool reports period in seconds and frequency in hertz.
The tool reports period in seconds and frequency in hertz.
Understanding the result
Calculate the ideal small-angle oscillation period from pendulum length and gravitational acceleration.
The approximation assumes a light string, point mass and small angular displacement; real damping and large swings are excluded.
Important notes
The approximation assumes a light string, point mass and small angular displacement; real damping and large swings are excluded.
Treat the result as an estimate for the assumptions entered; verify important specifications against the relevant source or professional guidance.
Frequently asked questions
Does mass change the ideal period?
Mass does not appear in the ideal simple-pendulum formula.
Does the formula work for large swings?
It is a small-angle approximation; larger swings require a more detailed model.
How should I use this result?
Enter pendulum length and local gravitational acceleration.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.