Shape of a Cracking Whip

Alain Goriely and Tyler McMillen
Phys. Rev. Lett. 88, 244301 – Published 3 June 2002
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Abstract

The crack of a whip is produced by a shock wave created by the supersonic motion of the tip of the whip in the air. A simple dynamical model for the propagation and acceleration of waves in the motion of whips is presented. The respective contributions of tension, tapering, and boundary conditions in the acceleration of an initial impulse are studied theoretically and numerically.

  • Received 4 March 2002

DOI:https://doi.org/10.1103/PhysRevLett.88.244301

©2002 American Physical Society

Authors & Affiliations

Alain Goriely2,1,* and Tyler McMillen2,†

  • 1Department of Mathematics, University of Arizona, Tucson, Arizona 85721
  • 2Program in Applied Mathematics, University of Arizona, Tucson, Arizona 85721

  • *Electronic addresses: goriely@math.arizona.edu http://www.math.arizona.edu/~goriely
  • Electronic address: mcmillen@math.arizona.edu

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Vol. 88, Iss. 24 — 17 June 2002

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