Do you get less wet if you run in the rain?
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(Yes, sometimes that exposure time can result in you coming out ahead, but it's not really answering the question)
EDIT: What the hell's with the downmods? What is this, reddit?
For a given amount of time, running in the rain makes you more wet.
For a given distance, running in the rain makes you less wet.
Running reduces your exposure time by more than the increase in rain_per_time.
Perhaps I've simply mis-understood you.
My point is that reducing your exposure time is basically altering a different variable in the equation.
If you control that variable by not running to a place where the exposure to rain stops, it becomes clear that by running you will get more wet than if you were simply walking.
And yes I understand that practically, running to a dry spot is the whole point.
You originally said:
In other words, running in the rain gets
you more wet, given that all running is
doing is reducing your exposure time.
The running is reducing your exposure time, and that reduce is enough to get you less wet. Hence your claim that it gets you more wet is nonsense.What have I misunderstood?
Um, the "exposure time" variable is exactly that. The act of running causes you to increase your rain exposure, so unless I'm missing something, at some point the "exposure time" will become long enough that the act of running is rendered ineffective, and then actually becomes worse. (For example, if you ran around in a circle for a set time, instead of from point to point).
Like I said, I do get that by that point it may not functionally matter, and that if you ran from your car to the store you will not be as wet as if you walked, but it is important to understand the subtleties in order to properly understand why.
Maybe others will understand you and gain something from it, but I doubt there's much to be gained by you continuing to explain to me, and me trying to understand.
Thanks for trying.
I think there must be a missing variable, such as excess water whisking off more quickly, greater evaporation due to heat transfer or maybe something else.
Perhaps I just need more practice. Practice makes perfect with math like everything else?
Understanding it is one thing, but coming up with it independently is different.
I bet with proper background and practice you could set things like this up rather easily. You just need to learn to think about the problems at the proper abstraction level and then develop some intuition by actually doing lots of problems.
Yes, basically. You just need more practice.
Conclusion: if the rain is falling straight down, it always makes sense to run.
I stop thinking about being in the rain as soon as I'm sheltered, so I'd rather minimize being in an unpleasant situation.
Blasting the second group with a less painful noise AFTER a more painful noise will result in a sense of relief when the less painful noise occurs. I believe this relief has a big impact on what people remember.
Also, I believe the second group would insist on increased unpleasantness if the less painful noise preceded the more painful noise.
Nonetheless, I believe there is some truth to the rule.
Oddly enough, all three optimizations lead to the same conclusion: that the best thing to do in any case is to run until you escape the rain.
Another angle on this is that running spreads the wetness over more surface area (less on top, more on front). If you're wearing a hat, you might choose to walk, etc.
When it is spitting or raining very lightly, sit in a stopped car and watch the rain on the window.
Now, speed that car up to about 80km and see what happens. Disregarding spray from other vehicles, odds are that there will be more rain on the windshield in the same amount of time.
Like I said just an observation.
I'm just not getting you. I'm giving up.
I learned calculus by correspondence in high school. Solving this problem transformed calculus in my mind from just some abstract problems to solve into something useful. It was a big turning point for me, and focused my interests in areas of applied math.
But then they changed their mind after that show: http://en.wikipedia.org/wiki/MythBusters_episodes:_Season_3#...