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The wheels on the bus go.. (Posted on 2003-06-23) Difficulty: 4 of 5

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: ( Back to comment list | You must be logged in to post comments.)
Nice Problem | Comment 8 of 10 |

A beautiful puzzle that stimulates one's intellectual urge through a maze of intution and logic.

R.Kesavan.


  Posted by R.Kesavan on 2004-11-24 14:45:29
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