dorsal/arxiv
View SchemaA Simple Model for Predicting Sprint Race Times Accounting for Energy Loss on the Curve
| Authors | J. R. Mureika |
|---|---|
| Categories | |
| ArXiv ID | physics/9704022 |
| URL | https://arxiv.org/abs/physics/9704022 |
| DOI | 10.1139/cjp-75-11-837 |
| Journal | Can. J. Phys. 75, 837-851 (November 1997) |
Abstract
The mathematical model of J. Keller for predicting World Record race times, based on a simple differential equation of motion, predicted quite well the records of the day. One of its shortcoming is that it neglects to account for a sprinter's energy loss around a curve, a most important consideration particularly in the 200m--400m. An extension to Keller's work is considered, modeling the aforementioned energy loss as a simple function of the centrifugal force acting on the runner around the curve. Theoretical World Record performances for indoor and outdoor 200m are discussed, and the use of the model at 300m is investigated. Some predictions are made for possible 200m outdoor and indoor times as run by Canadian 100m WR holder Donovan Bailey, based on his 100m final performance at the 1996 Olympic Games in Atlanta.
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"abstract": "The mathematical model of J. Keller for predicting World Record race times,\nbased on a simple differential equation of motion, predicted quite well the\nrecords of the day. One of its shortcoming is that it neglects to account for a\nsprinter\u0027s energy loss around a curve, a most important consideration\nparticularly in the 200m--400m. An extension to Keller\u0027s work is considered,\nmodeling the aforementioned energy loss as a simple function of the centrifugal\nforce acting on the runner around the curve. Theoretical World Record\nperformances for indoor and outdoor 200m are discussed, and the use of the\nmodel at 300m is investigated. Some predictions are made for possible 200m\noutdoor and indoor times as run by Canadian 100m WR holder Donovan Bailey,\nbased on his 100m final performance at the 1996 Olympic Games in Atlanta.",
"arxiv_id": "physics/9704022",
"authors": [
"J. R. Mureika"
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"doi": "10.1139/cjp-75-11-837",
"journal_ref": "Can. J. Phys. 75, 837-851 (November 1997)",
"title": "A Simple Model for Predicting Sprint Race Times Accounting for Energy Loss on the Curve",
"url": "https://arxiv.org/abs/physics/9704022"
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