trustme.bro/r/…
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the claim
A pendulum's period is independent of its amplitude
the verdict
REFUTED
the evidence says no
refutedsupported
the weight of evidence
0 sources for · 4 against

The claim that a pendulum's period is independent of its amplitude is incorrect. In reality, a pendulum's period depends on its amplitude, a dependence that becomes increasingly pronounced at larger angles.

Evidence against · 4
2005 · cited by 84
The paper derives formulas demonstrating that a pendulum's period depends on its amplitude outside the small angle regime.
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The analysis

The retrieved literature consistently shows that a pendulum's period varies with its amplitude, particularly outside the small-angle approximation where nonlinear effects require elliptic integrals or specialized approximations. Therefore, the claim is refuted.

More against · 3
2020 · cited by 17
The paper reviews approximate equations for measuring the pendulum period as a function of amplitude.
2023 · cited by 3
The paper develops formulas for calculating the period of a large-angle pendulum, confirming amplitude dependence.
2024 · cited by 2
The paper uses elliptic integrals to account for the nonlinearity and period change of a pendulum at different amplitudes.
Everything we examined (12)
  1. An accurate formula for the period of a simple pendulum oscillating beyond the small angle regimepeer-reviewedrefutes
  2. Hybrid Triboelectric-Electromagnetic Nanogenerators for Mechanical Energy Harvesting: A Review.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  3. Nonlinear double-mass pendulum for vibration-based energy harvestingpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  4. Predictive coding networks for temporal prediction.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  5. Review of approximate equations for the pendulum periodpeer-reviewedrefutes
  6. Motor cortical inactivation impairs corrective submovements in mice performing a hold-still center-out reach task.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. Phase-space mixing in dynamically unstable, integrable few-mode quantum systems.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  8. Fifth-order AGM-formula for the period of a large-angle pendulumpeer-reviewedrefutes
  9. Casimir Effect in MEMS: Materials, Geometries, and Metrologies-A Review.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  10. Operating Time Modification by Elliptic Integration in Feedforward Control of One-Time Swing-Up Pendulum Using Finite-Time Settling Functions with Half-Odd-Integer Trigonometric Functionspeer-reviewedrefutes
  11. Core Payload of the Space Gravitational Wave Observatory: Inertial Sensor and Its Critical Technologies.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  12. CFD Model of a Mechanical Oscillator Flowmeter.peer-reviewedno side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked05 Aug 2026
judged → REFUTED · 1205 Aug 2026
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