Ring rolling 1.0 m at 3.0 m/s - how many revolutions?

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Homework Statement


Sam drops his ring in the mall. It goes rolling away from him at a velocity of 3.0 m/s. It has a radius of 0.50cm. After rolling 1.0 m how many revolutions has it made?


Homework Equations


vcm= rw


The Attempt at a Solution


vcm
3.0x 2 pi = 18.84
0.50x 18.84= 9.42
 
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Welcome to PF.

How do you see the velocity affecting the number of revolutions?

If the circumference is 2*.5*π ... or π cm, then isn't the number of revolutions the number of circumferences it has traversed? 100 cm / π cm ?