A close friend of mine, and I actually performed a test on this. We put a cardboard sheet over our
head and one in front of us. We walked over a 10ft space, it was a light drizzle so we would be able to count
the number of drops that hit the sheets. The amount of rain drops that you will get hit by (in idle
conditions, the area each person walks is equally dense as far as rain drops) is exactly the same whether you
run or if you walk, as long as the time you are in the rain is the same.
The reason for the fact that you are hit by approximately the same amount, is because when you run, you are hit
from above with less rain drops, however, with your forward velocity increasing, you hit more and more rain
drops head on.
As long as the time in the rain for both people is the same, you should get a close to equal number of rain drops. However, a
person who sprints 100yds as opposed to a person who walks the 100yds will get hit by much less rain, because
of the time it takes to travel the same distance.
So as a straight answer to your question, yes you will get hit with less rain drops if you run (bearing in mind
there must be a significant difference in speed or difference (to change time) than if you walked.
Answered by: Cody
The empirical evidence presented notwithstanding, it seems implausible that
the number of raindrops hitting a person per unit time remains constant
whether running or walking. The answer posits that running will cause you
to hit more raindrops on the front per second, with which I agree, but
claims that you will be hit less often on the top, with which I disagree on
the following grounds:
As a horizontal piece of cardboard moves forward, drops that would have hit
it go behind it and thus miss. However one would expect an equal number of
raindrops that would have fallen in front of the cardboard to now hit.
Therefore taking front and top into account, running should cause you to
intersect more drops per second than walking, but will take less time to
cover a certain distance. How these 2 effects balance out remains to be
Mathematical models which assume raindrops falling vertically in planes with
randomly distributed drops within the plane show the two effects to balance
out perfectly, but the real life application? Who knows...
Answered by: Robert Landolfi
'The mathematician's patterns, like the painter's or the poets, must be beautiful; the ideas, like the colours or the words, must fit together in a harmonious way. Beauty is the first test: there is no permanent place in the world for ugly mathematics.'