Uniform circular motion of a rolling object

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Homework Help Overview

The discussion revolves around the uniform circular motion of a rolling object, specifically a soccer ball, and the calculation of its revolutions over a given linear distance. The problem involves understanding the relationship between linear speed, distance traveled, and the number of revolutions made by the ball.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss methods for calculating the number of revolutions, with one suggesting the use of a specific equation involving the radius of the ball. There is also a mention of potential extraneous information in the problem that may affect the approach.

Discussion Status

Some participants are exploring different methods to arrive at the number of revolutions, while others are questioning the values being used in their calculations. There is acknowledgment of a mistake in one participant's approach, indicating a productive direction in the discussion.

Contextual Notes

There is a note about the potential for superfluous information in the problem, which may lead to confusion in the calculations. Additionally, participants are encouraged to verify the values used in their equations, particularly the radius of the soccer ball.

akatsafa
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A soccer ball of diameter 33cm rolls without slipping at a linear speed of 2.4m/s. Through how many revolutions has the soccer ball turned as it moves a linear distance of 18m?

How do I just find the revolutions? I know how to use the equation to find rev/s, but how do I just get revolutions?

Thank you.
 
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Find out how long it takes for the ball to do a full revolution. Then find out how long it takes for the ball to move 18 metres. Divide the latter by the former and you should get your answer.
 
hint: there is superfluous information in the problem.
 
I'm using the equation N=X/2pi*r. When I do this, I'm getting 8.68 revolutions, but it's wrong. Is there another equation I should be using?
 
Nevermind. I know what I did wrong!
 
akatsafa said:
I'm using the equation N=X/2pi*r. When I do this, I'm getting 8.68 revolutions, but it's wrong. Is there another equation I should be using?
Your equation is correct. Be sure you are using the correct value for the ball's radius.
 

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