Keeping Dry: The Mathematics of Running in the Rain

Authors: Hailman, Dank; Torrents, Bruce

Source: Mathematics Magazine, Volume 82, Number 4, October 2009 , pp. 266-277(12)

Publisher: Mathematical Association of America

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Abstract:

The age-old question of whether one stays driest by walking or running in the rain is addressed. In the previous literature the traveler has always been modeled by a rectangular solid. Here we consider the consequences for more well-rounded individuals, in particular, for ellipsoids. We find that, in fact, shape matters, and reach conclusions that differ from those utilizing rectangles. Indeed, we find that in the presence of a tail wind, the optimal pace for the ellipsoidal traveler is always slightly faster than the tail wind.

Document Type: Research article

DOI: http://dx.doi.org/10.4169/193009809X468698

Publication date: 2009-10-01

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Mathematics Magazine presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years.
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