Calculating Revolutions: Sam's Lost Ring in the Mall - Homework Help

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To determine how many revolutions Sam's ring makes after rolling 1.0 m, the ring's circumference is calculated as π cm. Given the ring rolls at a velocity of 3.0 m/s and travels 100 cm, the number of revolutions is found by dividing the distance traveled by the circumference, resulting in approximately 31.83 revolutions. The relationship between velocity and revolutions is clarified by the equation vcm = rw, indicating that the speed affects how quickly the ring completes its revolutions. The discussion emphasizes the importance of understanding the relationship between distance, circumference, and revolutions in solving the problem. Ultimately, the calculations confirm the number of revolutions made by the ring.
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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 ?
 

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