Simple Pendulum Calculator

Calculate the period, length, or gravitational acceleration for a simple pendulum.

Input Parameters

Solve For

String Length (L) (m)

Gravitational Acceleration (g) (m/s²)

Calculation Results

Enter parameters to calculate

Quick Reference

TPeriod

LLength

gGravity

f1 / T (Frequency)

Overview

A simple pendulum consists of a mass hanging from a string. For small angles, its swing follows simple harmonic motion.

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Pro Tips

The mass of the bob does not affect the period of a simple pendulum.
The formula T = 2π√(L/g) is only accurate for small angles of oscillation.
L is the distance from the pivot point to the center of mass of the bob.

Fun Facts

"Earth's gravity varies slightly by location, affecting pendulum clocks (they slightly faster at the poles)."
"Galileo Galilei discovered the properties of pendulums by watching a chandelier swing in a cathedral."
"Foucault pendulums are used to demonstrate the rotation of the Earth."

Formula: T = 2π√(L/g)

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