dorsal/arxiv
View SchemaPhysics of Skiing: The Ideal-Carving Equation and Its Applications
| Authors | U. D. Jentschura, F. Fahrbach |
|---|---|
| Categories | |
| ArXiv ID | physics/0310086 |
| URL | https://arxiv.org/abs/physics/0310086 |
| DOI | 10.1139/p04-010 |
| Journal | Can.J.Phys. 82 (2004) 249-261 |
Abstract
Ideal carving occurs when a snowboarder or skier, equipped with a snowboard or carving skis, describes a perfect carved turn in which the edges of the ski alone, not the ski surface, describe the trajectory followed by the skier, without any slipping or skidding. In this article, we derive the "ideal-carving" equation which describes the physics of a carved turn under ideal conditions. The laws of Newtonian classical mechanics are applied. The parameters of the ideal-carving equation are the inclination of the ski slope, the acceleration of gravity, and the sidecut radius of the ski. The variables of the ideal-carving equation are the velocity of the skier, the angle between the trajectory of the skier and the horizontal, and the instantaneous curvature radius of the skier's trajectory. Relations between the slope inclination and the velocity range suited for nearly ideal carving are discussed, as well as implications for the design of carving skis and snowboards.
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"abstract": "Ideal carving occurs when a snowboarder or skier, equipped with a snowboard\nor carving skis, describes a perfect carved turn in which the edges of the ski\nalone, not the ski surface, describe the trajectory followed by the skier,\nwithout any slipping or skidding. In this article, we derive the\n\"ideal-carving\" equation which describes the physics of a carved turn under\nideal conditions. The laws of Newtonian classical mechanics are applied. The\nparameters of the ideal-carving equation are the inclination of the ski slope,\nthe acceleration of gravity, and the sidecut radius of the ski. The variables\nof the ideal-carving equation are the velocity of the skier, the angle between\nthe trajectory of the skier and the horizontal, and the instantaneous curvature\nradius of the skier\u0027s trajectory. Relations between the slope inclination and\nthe velocity range suited for nearly ideal carving are discussed, as well as\nimplications for the design of carving skis and snowboards.",
"arxiv_id": "physics/0310086",
"authors": [
"U. D. Jentschura",
"F. Fahrbach"
],
"categories": [
"physics.class-ph",
"physics.pop-ph"
],
"doi": "10.1139/p04-010",
"journal_ref": "Can.J.Phys. 82 (2004) 249-261",
"title": "Physics of Skiing: The Ideal-Carving Equation and Its Applications",
"url": "https://arxiv.org/abs/physics/0310086"
},
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