perplexus.info :: Calculus : The wheels on the bus go..

The wheels on the bus go.. (Posted on 2003-06-23)

If you drew a dot on the edge of a wheel and traced the path of the dot as the wheel rolled one complete revolution along a line, then the path formed would be called a cycloid (shown below), combining both forward and circular motion.

If a wheel of radius 1 traces out such a path, what is the length of the path formed by one complete revolution?

See The Solution Submitted by DJ

Rating: 4.3571 (14 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Puzzle Answer	K Sengupta	2024-02-13 02:54:51
Answer	K Sengupta	2008-03-20 09:53:32
Nice Problem	R.Kesavan	2004-11-24 14:45:29
half way there	Larry	2004-02-21 14:26:04
guess'n i think.	dorkdork	2003-08-02 23:46:37
re: Solution	Bryan	2003-06-23 09:35:02
re: initial reaction	levik	2003-06-23 07:46:13
re: Solution	friedlinguini	2003-06-23 06:30:43
Solution	friedlinguini	2003-06-23 05:23:20
initial reaction	Hank	2003-06-23 04:48:12

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