Pendulum Period Calculator
T = 2π √(L/g). Period of a simple pendulum (small angles).
Result
General calculation reads
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How to use this calculator
- Enter pendulum length and local g.
- Read period + frequency.
About this calculator
A simple pendulum (point mass on massless string) has period T = 2π √(L/g) for small swings (≤ ~10°). Period independent of mass and (initially) amplitude — the discovery that made grandfather clocks possible. A 1m pendulum on Earth: T ≈ 2.0 s. To halve the period, shorten by 4×. To increase period 10×, lengthen 100×. Foucault pendulum demonstrates Earth's rotation.
Frequently asked
Why no mass dependence?+
Small-angle approximation?+
Grandfather clock?+
Foucault pendulum?+
Compound pendulum?+
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