Science & engineering

Simple pendulum period

Estimate a small-angle pendulum’s period and frequency.

Simple pendulum period
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A clear answer. Here’s how.

Small-angle period T = 2π√(L/g), with length from pivot to the point mass. Assumes an ideal simple pendulum, small amplitude, negligible damping and constant gravity. Large swings require a different model.

See a worked example

Worked example

A fixed demonstration, separate from the values you enter above.

Pendulum length (m)
1
Gravitational acceleration (m/s²)
9.80665

Example result

Period (seconds)
2.00640929259
Frequency (Hz)
0.498402795329