在雨中跑的快的淋雨多一些 episode artwork

EPISODE · Nov 2, 2021 · 1 MIN

在雨中跑的快的淋雨多一些

from 伊人耳朵SPA/一分钟耳朵SPA

很多人都会迷惑一个问题在下雨的时候,到底是在雨中漫步淋的雨少一点呢?还是跑得快一点淋的雨少一点呢?很多人都会选择跑得快,因为跑得快缩短了淋雨的时间,但正确答案却是跑得快的淋雨多些。这其实是一个典型的数学建模问题。在本问题中,我们将人粗略地看作一个长方体,在雨天中停留相同时间,人被淋到的雨水由两部分组成,一部分是头上被淋到的,也就是长方体上表面被淋到的;一部分是迎面淋到的雨水。我们可以计算一下:设人的上表面积为S,前面的面积为S,雨水在单位时间内降落在单位面积上的雨量为k,单位时间内单位空间的雨量为l,人的速度为V。那么在单位时间t内,人的上面被雨水淋到的雨量为:V1=st·k·t在单位时间内,人迎面遇到的雨水为: V2=vts·l·t所以在雨水的各性质相同时,跑步与慢走相比,迎面遇到的雨水较多,而上面遇到的雨水相同,因此跑步的人淋的多。

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在雨中跑的快的淋雨多一些

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