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From: eirik@tekchips.UUCP (Eirik Fuller)
Newsgroups: net.puzzle
Subject: A Bicycle Puzzle
Message-ID: <97@tekchips.UUCP>
Date: Fri, 28-Feb-86 10:02:18 EST
Article-I.D.: tekchips.97
Posted: Fri Feb 28 10:02:18 1986
Date-Received: Sun, 2-Mar-86 00:29:33 EST
Reply-To: eirik@tekchips.UUCP (Eirik Fuller)
Organization: Tektronix, Beaverton OR
Lines: 17


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.