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Running uphill: energy needs and Naismith's Rule

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  • J M Norman

    (Sheffield University Management School)

Abstract

In this note we make two points, from which follows a suggestion for running uphill: (1) an athlete's energy needs in running up a slope of gradient θ at a speed V may be considered to have three additive elements: that needed to stay alive; that needed to run at a speed V on the level; that needed to lift the body at a rate V sin θ. (2) corresponding to Naismith's rule of 1 to 8, in whole numbers, for walking or running in mountainous country (1 foot of ascent is equivalent to 8 feet on the level), the rule for running on a treadmill is 1 to 3 and the rule for running on roads is 1 to 4 or 5. This result suggests that, if possible, a runner should zigzag up slopes steeper than 1 in 8 on the fells and zigzag up slopes greater than 1 in 4 or 5 on roads.

Suggested Citation

  • J M Norman, 2004. "Running uphill: energy needs and Naismith's Rule," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(3), pages 308-311, March.
    • Handle: RePEc:pal:jorsoc:v:55:y:2004:i:3:d:10.1057_palgrave.jors.2601671
    DOI: 10.1057/palgrave.jors.2601671
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    Cited by:

    1. M B Wright, 2009. "50 years of OR in sport," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(1), pages 161-168, May.

    More about this item

    Keywords

    sports; running; recreation;
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