Physics of skiing: The idealcarving equation and its applications
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 "idealcarving" equation that describes the physics of a carved turn under ideal conditions. The laws of Newtonian classical mechanics are applied. The parameters of the idealcarving equation are the inclination of the ski slope, the acceleration of gravity, and the sidecut radius of the ski. The variables of the idealcarving 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.
 Publication:

Canadian Journal of Physics
 Pub Date:
 April 2004
 DOI:
 10.1139/p04010
 arXiv:
 arXiv:physics/0310086
 Bibcode:
 2004CaJPh..82..249J
 Keywords:

 Classical Physics;
 Popular Physics
 EPrint:
 13 pages, 9 figures, LaTeX