### Abstract

Ideal carving occurs when a snowboarder or skier, equipped with a snowboard or carving skis, describes a perfectly 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 that 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.

Original language | English |
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Pages (from-to) | 249-261 |

Number of pages | 13 |

Journal | Canadian Journal of Physics |

Volume | 82 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 2004 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Canadian Journal of Physics*,

*82*(4), 249-261. https://doi.org/10.1139/p04-010

**Physics of skiing : The ideal-carving equation and its applications.** / Jentschura, U.; Fahrbach, F.

Research output: Contribution to journal › Article

*Canadian Journal of Physics*, vol. 82, no. 4, pp. 249-261. https://doi.org/10.1139/p04-010

}

TY - JOUR

T1 - Physics of skiing

T2 - The ideal-carving equation and its applications

AU - Jentschura, U.

AU - Fahrbach, F.

PY - 2004/4

Y1 - 2004/4

N2 - Ideal carving occurs when a snowboarder or skier, equipped with a snowboard or carving skis, describes a perfectly 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 that 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.

AB - Ideal carving occurs when a snowboarder or skier, equipped with a snowboard or carving skis, describes a perfectly 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 that 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.

UR - http://www.scopus.com/inward/record.url?scp=3142635280&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=3142635280&partnerID=8YFLogxK

U2 - 10.1139/p04-010

DO - 10.1139/p04-010

M3 - Article

AN - SCOPUS:3142635280

VL - 82

SP - 249

EP - 261

JO - Canadian Journal of Physics

JF - Canadian Journal of Physics

SN - 0008-4204

IS - 4

ER -