Rolling Disc

Consider a disc of radius 10 cm pure rolling on a surface with enough frictional force. The disc rotates with a constant angular velocity. Consider a point A on the periphery of the disc. After a complete revolution of the disc compute the DISTANCE travelled by the point A in centimeters.


The answer is 80.

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2 solutions

Tejas Rangnekar
Mar 14, 2014

The path is a cycloid,formula is 8 times the radius of the wheel

Jaivir Singh
Apr 27, 2014

TOTAL DISTANCE TRAVELED BY THE POINT ON THE CIRCUMFERENCE IS 8 TIMES THE RADIUS. THIS CAN BE CALCULATED FROM THE PATH EQUATION WHICH IS CYCLOID

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