basic

Pendulum Length from Desired Period Calculator

L = T² · g / (4π²) for a small-angle simple pendulum.

Compute the length needed for a simple pendulum to swing with a desired period (small-angle approximation): L = T² · g / (4π²). Reports L in metres, cm, and inches.

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

Inputs

s
m/s²

Results

Enter values and click Calculate to see results.
Was this helpful?

How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

L = T² · g / (4π²)

In depth

Compute the length needed for a simple pendulum to swing with a desired period (small-angle approximation): L = T² · g / (4π²). Reports L in metres, cm, and inches.