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Brachistochrone On A Velodrome.pdf

Brachistochrone-on-a-velodrome.pdf
Preview of Brachistochrone on a velodrome
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📊 Size: 1.32 MB
📄 Pages: 18 pages
⬇️ Downloads: 51

Summary

Researchers extended the classical Brachistochrone problem to find the optimum cycling trajectory in a velodrome, treating the cyclist as an active particle. They started with two canonical cases of cycling on a sloping plane and a cone, where analytical solutions were found, and then solved the problem numerically on the reconstructed surface of a velodrome in France. The study aimed to minimize the lap time by balancing the exchange between potential and kinetic energy, and discussed parameters such as fatigue. The optimal trajectory was found to be critical in reducing time, with even small improvements having a significant impact on the final ordering of athletes.

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Description

Researchers extended the classical Brachistochrone problem to find the optimum cycling trajectory in a velodrome, treating the cyclist as an active particle.

Technical Information

  • File Format: PDF
  • File Size: 1.32 MB
  • Pages: 18
  • Language: EN
  • Total Downloads: 51
  • Last Updated: 18 hours ago

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