Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!linus!philabs!cmcl2!seismo!umcp-cs!nbs-amrf!hopp From: hopp@nbs-amrf.UUCP (Ted Hopp) Newsgroups: net.puzzle Subject: Re: A Bicycle Puzzle Message-ID: <178@nbs-amrf.UUCP> Date: Mon, 3-Mar-86 18:22:57 EST Article-I.D.: nbs-amrf.178 Posted: Mon Mar 3 18:22:57 1986 Date-Received: Sat, 8-Mar-86 04:45:20 EST References: <97@tekchips.UUCP> Organization: National Bureau of Standards Lines: 22 > Flame me if you've seen this before, or if this is in the wrong > newsgroup. I hadn't seen it before I thought of it. > > On a bicycle with both tires the same diameter, which wheel has a > larger average angular velocity? In more concrete terms, suppose > you have one of those newfangled bicycle computer gizmos. On which > wheel should you mount the sensor to register more mileage? > > Assumptions: neglect variations in tire diameter due to tire > compression. Assume that neither wheel slips. Treat this purely as > a geometry problem (it is not a trick question). > > One small hint: I thought of this as I was grinding my way > up a steep hill on my fixed gear. > > I am willing to collect and summarize mail responses. I guess the front wheel. The back wheel cuts inside all the turns. -- Ted Hopp {seismo,umcp-cs}!nbs-amrf!hopp