{
  "annotation_id": "4df38274-a79d-4394-9019-6f000948a6d3",
  "date_created": "2026-03-02T18:01:03.488000Z",
  "date_modified": "2026-03-02T18:01:03.488000Z",
  "file_hash": "f94eb2d644801f84fad40139a3796797ac1b3545adc4151a016898e7ef9a506e",
  "private": false,
  "record": {
    "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"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "527ad86f-36bc-44bf-928d-c8d2a9dd4a55",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}