home *** CD-ROM | disk | FTP | other *** search
- Path: sparky!uunet!europa.asd.contel.com!paladin.american.edu!darwin.sura.net!jvnc.net!yale.edu!spool.mu.edu!news.nd.edu!mentor.cc.purdue.edu!noose.ecn.purdue.edu!dirac!bohr.physics.purdue.edu!sho
- From: sho@bohr.physics.purdue.edu (Sho Kuwamoto)
- Newsgroups: talk.bizarre
- Subject: Re: Walking Between Rain Drops !!!!
- Message-ID: <8991@dirac.physics.purdue.edu>
- Date: 21 Dec 92 22:17:36 GMT
- References: <1992Dec21.211033.9241@news.columbia.edu>
- Sender: news@dirac.physics.purdue.edu
- Organization: Purdue University Physics Department
- Lines: 35
-
- bs24@cunixf.cc.columbia.edu (Bruce Sarte) writes:
- > - if you run through the rain, do you get wetter since
- > you will obviously get hit by more rain drops, or do you
- > stay drier since you will spend less time in the rain ??
-
- let's overanalyze this, shall we?
-
- If we assume that the rain is coming straight down, and that
- the scattering cross section of a human (as viewed from the
- top) is zero, it is obvious that the speed is unimportant.
- Wetness is directly proportional to length of path traveled.
-
- If we make the more realistic approximation that the top
- view cross section is nonzero, we come to the conclusion
- that running as fast as one can is the optimal solution.
-
- If we assume the rain is falling at an angle, but with
- constant speed, we now need to know the angle of rainfall
- and the speed of raindrops in order to determine the optimal
- velocity, which may or may not be finite. This may or may
- not be solvable in closed form, depnding on what our model
- for the shape of a human being is. I'm guessing that it's
- solvable if we model a human being as a sphere and
- impossible for almost every other nondegenerate shape.
-
- If we model the rainfall as a stochastic process, we need to
- know the distributions of angle and speed. It is unlikely
- that a closed form solution for the optimal velocity will
- exist.
-
- -Sho
- --
- sho@physics.purdue.edu
-
-
-