Simple Pendulum
Solve a small-angle simple pendulum for period T = 2π√(L/g), or rearrange for length L or local g. Includes frequency, angular frequency, and step-by-step working.
Key formula
T = 2π √(L/g)
About this tool
A simple pendulum is a small mass on a light string. For small angles the period is T = 2π√(L/g): it depends on length and gravity, not on mass. This page keeps the formula visible and lets you solve for T, L, or g with substituted steps.
How to use this calculator
- Choose the variable you want to solve for and confirm which values are already known.
- Enter inputs in consistent units before calculating so the formula is applied correctly.
- Check whether the result is physically reasonable by comparing it with the size of the inputs.
- Use the step-by-step breakdown to see how the equation was rearranged and evaluated.