dorsal/arxiv
View SchemaAn accurate formula for the period of a simple pendulum oscillating beyond the small-angle regime
| Authors | F M S Lima, P Arun |
|---|---|
| Categories | |
| ArXiv ID | physics/0510206 |
| URL | https://arxiv.org/abs/physics/0510206 |
| DOI | 10.1119/1.2215616 |
| Journal | Am. J. Phys. 74 (10), 892 (2006). |
Abstract
A simple approximation formula is derived here for the dependence of the period of a simple pendulum on amplitude that only requires a pocket calculator and furnishes an error of less than 0.25% with respect to the exact period. It is shown that this formula describes the increase of the pendulum period with amplitude better than other simple formulas found in literature. A good agreement with experimental data for a low air-resistance pendulum is also verified and it suggests, together with the current availability/precision of timers and detectors, that the proposed formula is useful for extending the pendulum experiment beyond the usual small-angle oscillations.
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"abstract": "A simple approximation formula is derived here for the dependence of the\nperiod of a simple pendulum on amplitude that only requires a pocket calculator\nand furnishes an error of less than 0.25% with respect to the exact period. It\nis shown that this formula describes the increase of the pendulum period with\namplitude better than other simple formulas found in literature. A good\nagreement with experimental data for a low air-resistance pendulum is also\nverified and it suggests, together with the current availability/precision of\ntimers and detectors, that the proposed formula is useful for extending the\npendulum experiment beyond the usual small-angle oscillations.",
"arxiv_id": "physics/0510206",
"authors": [
"F M S Lima",
"P Arun"
],
"categories": [
"physics.ed-ph"
],
"doi": "10.1119/1.2215616",
"journal_ref": "Am. J. Phys. 74 (10), 892 (2006).",
"title": "An accurate formula for the period of a simple pendulum oscillating beyond the small-angle regime",
"url": "https://arxiv.org/abs/physics/0510206"
},
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