Physics education · Oscillations

Simple pendulum period

Estimate the period of a simple pendulum for small angular displacements.

Published · R0

Method and scope

T = 2π√(L/g), using standard gravity.

Use simple pendulum period for educational calculation or a clearly scoped arithmetic estimate. Intended for Learners, General educational use.

Inputs
  • Pivot-to-bob length — m, cm, ft
SOURCE AND LIMITS

Assumptions: The bob is approximated as a point mass on a massless string. Maximum angular displacement is small (about 15° or less). Standard gravity 9.80665 m/s² is used.

Limitations: Larger swing angles increase the true period compared with this small-angle approximation.

Method version 1.0.0 · Unit registry and result provenance are shown after calculation. This tool is limited to the documented scope.
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