A mathematical theory of running, based on the first law of thermodynamics, and its application to the performance of world-class athletes.

@article{WardSmith1985AMT,
  title={A mathematical theory of running, based on the first law of thermodynamics, and its application to the performance of world-class athletes.},
  author={A J Ward-Smith},
  journal={Journal of biomechanics},
  year={1985},
  volume={18 5},
  pages={337-49}
}
Following a survey of existing mathematical models of running, a new analysis is developed, based on the first law of thermodynamics. The method properly accounts for each term in the energy balance, and avoids the use of mechanical efficiency factors. A relationship is derived between race distance and the time taken to run that distance. An excellent correlation of results from recent Olympic Games is established for events over distances from 100 m to 10,000 m. The velocity-time relationship… CONTINUE READING

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