✓ Sources checked · 10 September 2026 · View verification
A pendulum exchanges gravitational potential energy and kinetic energy as it swings. For a small-angle simple pendulum, its period is approximately P = 2π√(L/g).
By Matan · Updated
Which pendulum?
The simple model uses a point bob on a massless inextensible string of length L. A rigid distributed body is a physical pendulum and needs its pivot-axis inertia. The simple period is approximately independent of amplitude only for small swings, not for every amplitude. [1]
Worked length comparison
For L = 0.50 m and g = 9.8 m/s², P = 1.42 s. Increasing length to 2.0 m gives P = 2.84 s. Quadrupling length doubles the period. Doubling bob mass leaves this ideal period unchanged.
Where the speed is greatest
At a turning point the bob’s speed is zero; at the bottom it is greatest. In the ideal model, energy is exchanged without loss. Real drag and pivot friction reduce amplitude. A clock mechanism must replenish those losses; the pendulum regulates timing rather than generating energy without an input. [1]
Claims about future technology
An oscillating pendulum stores a finite amount of mechanical energy. Attaching a generator extracts that energy and damps the motion unless another source replenishes it. Claims of superior storage efficiency require actual measurements and comparisons, not the existence of periodic motion.
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How this article was checked
Sources checked; calculations checked where shown. The definitions, model assumptions and main explanatory claims were cross-checked against the sources below. Worked-example arithmetic and units were checked separately. These examples are illustrative calculations, not experimental measurements.
Source cross-check and editing assisted by AI. No independent human scientific review is recorded for this revision. The check applies to the version dated 10 September 2026; it is not a guarantee that every possible interpretation is correct.
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Sources and further reading
- OpenStax: Simple and physical pendulums — Simple and physical pendulums.
Cite this article
Matan. “The science of pendulums.” Your Physicist. Originally published 2023-05-17; updated 2026-09-10. https://your-physicist.com/the-science-of-pendulums/
Revision history
: Qualified amplitude independence and clock energy; removed unsupported future-efficiency claims and added a checked period comparison. Added linked sources and a transparent verification record.