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When It Rains, Is It Better to Walk or to Run?: An Engineering Approach

Updated on July 12, 2017
idelafuente profile image

Ignacio started Aerospace Engineering at University Carlos III de Madrid(Spain) on 2015. He is currently studying at Purdue University(IN).

There is a contradiction between Theory and Experience

Which of them is the optimal strategy? Scientifics say run. Mythbusters say walk.

There will be always an experimental case in which walking is the best option, and also the contrary. This is because there is not an optimal behaviour adapted to all the cases, as the amount of water that reaches your body depends in a huge amount of factors: your complexion, the raindrop size, wind-speed, the angle between your path and the wind direction, the fact that you make splashes in your way home... each one of the infinite combinations of these factors lead to a different optimal solution, and therefore there is not an absolute conclusion. However, it has been demonstrated that in most of the cases, the faster is the better, and this is the solution that we will prove here theoretically.

The solution from an engineering perspective

Assuming the most basic situation, a straight path without stops, the answer is simple. If you put yourself out of the range of a drop, you are simultaneously entering into the range of the next one, and therefore we can assume that the flux of water over your body can be considered constant, no matter your velocity. To better understand this, you can imagine a field of permanent water drops, and the floor and yourself moving upwards along the rain. The figure that your body would describe in its movement along the rain can be approximated as the volume of a parallelepiped.

Example of a parallelepiped

As its volume does not depend on the inclination, it does not matter the velocity at which you are moving. Of course, if you do not move at all, there will be no rain affecting towards you, but this strategy will not help you to get to your house. Then, assuming that you have to make a displacement, it does not matter the velocity at which it happens. A good everyday example, we can take a snow plow, that removes the same amount of snow from the road(per unit area), no matter its velocity. The total amount of water that affects you can be computed as the amount of water over you by the time spent over the rain, plus the amount of water per meter that you are surpassing multiplied by the number of meters that you cross. This calculation does not take into account the speed at which you move, and for a fixed path, we can only reduce the quantity by reducing the amount of time spent under the rain. Therefore, you must scape the rain as fast as possible!

Which strategy do you use then it is raining?

See results

© 2017 Ignacio de la Fuente

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    • alancaster149 profile image

      Alan R Lancaster 2 weeks ago from Forest Gate, London E7, U K (ex-pat Yorkshire)

      It's an old one, Ignacio. A few old wags have put forward an alternative: to run between the drops. The easiest way out is to wear a rainproof coat with a hood, or carry a brolly (UK English for umbrella). Even better, look out at the weather and wait for it to pass - unless you're in the tropics and it's the Monsoon (rainy season). Then there's no choice but to send a boy with your shopping list.

    • idelafuente profile image
      Author

      Ignacio de la Fuente 2 weeks ago from West Lafayette, Indiana, USA

      Thank you very much for your comment Jill, I'm glad it made you smile, I hope you enjoy the rest of my posts :)

    • The Dirt Farmer profile image

      Jill Spencer 2 weeks ago from United States

      This was a lot of fun. My favorite line? "Of course, if you do not move at all, there will be no rain affecting towards you, but this strategy will not help you to get to your house." It made me smile. There's deep wisdom there somewhere. Best to you! Jill

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