Simple Pendulum Period Calculator
Calculate the small-angle period of a simple pendulum.
Simple Pendulum Period measurements
Enter your values, then calculate.
Result
How to calculate simple pendulum period
This calculator finds the period of a simple pendulum — how long one complete swing takes — from its length and local gravitational acceleration.
How the calculation works
Period = 2π × √(Length ÷ Gravity).
Example
A 1-meter pendulum on Earth (gravity 9.8 m/s²): 2π×√(1÷9.8) = 2π×0.319 ≈ 2.01 seconds.
Frequently asked questions
How is Result calculated?
Result = 2 × pi() × sqrt([Pendulum length] ÷ [Gravity]).
Is the Simple Pendulum Period Calculator free to use?
Yes — every calculator on Simple Calculator Tools is free, runs in your browser, and does not require an account.
Simple Pendulum Period Calculator
Period = 2π × √(Length ÷ Gravity).
Let's understand your simple pendulum period result.
Calculate a result above and this guide will help you interpret it using this calculator's own formula and explanation.
Pro Tips for Simple Pendulum Period
- This formula assumes small swing angles (typically under about 15 degrees) — larger swing angles introduce a small error, since the true pendulum period isn't perfectly independent of amplitude at larger angles.
- Pendulum period depends only on length and gravity, not on the mass of the bob or the amplitude of the swing (for small angles) — a useful and somewhat counterintuitive property called isochronism.
Common Simple Pendulum Period Mistakes to Avoid
- Assuming pendulum mass affects the period, when for an ideal pendulum, period depends only on length and local gravity, not the bob's mass.
When to Use This Calculator
This calculator finds the period of a simple pendulum — how long one complete swing takes — from its length and local gravitational acceleration.