# Rolling Motion of a bowling ball

How do I do this Problem?:

A bowling ball is given an initial speed of 5m/s on an alley such that it slides initially without rolling. The coefficient of friction between the ball and the alley is 0.12. How far must the ball travel until pure rolling motion sets in?

Any help would be greatly appreciated.

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ehild
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m2003 said:
How do I do this Problem?:

A bowling ball is given an initial speed of 5m/s on an alley such that it slides initially without rolling. The coefficient of friction between the ball and the alley is 0.12. How far must the ball travel until pure rolling motion sets in?

Any help would be greatly appreciated.
The motion of the ball consist of a translation of its centre of mass and a rotation around the axis through the centre of mass. The friction decelerates translation and accelerates rotation till the condition of pure rolling would fulfill, that is the speed of the CM is equal to Rw, radius times angular speed.

ehild