Solving Rotational Speed Homework with Radius of 40cm

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Homework Help Overview

The discussion revolves around a problem involving the rotational speed of a tire with a specified radius of 40 cm and a given rotation rate of 2500 revolutions per minute (rev/min). Participants are exploring the relationship between rotational speed and linear velocity.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning the interpretation of rev/min as a measure of rotational speed and whether it can be converted to other units. There is confusion regarding the application of the formula w = v/r and its implications for calculating rotational speed versus linear velocity.

Discussion Status

The discussion is active, with participants providing feedback on the original poster's approach and questioning the correctness of the formula used. Some guidance has been offered regarding the distinction between rotational speed and linear velocity, but no consensus has been reached.

Contextual Notes

There appears to be confusion regarding the definitions of rotational speed and the units involved, as well as the appropriate application of the formula in this context.

zombie4000
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Homework Statement


Tire with a radius of 40cm spinning at 2500 rev/min. What is the rotational speed?


Homework Equations


w=v/r
w=2500revmin/40cm
w=62.5 rad/sec

Does that sound right? I am confused
 
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Er... rev/min is a rotational speed.

Im not too sure what you are trying to work out.
 
Okay. Thats the exact problem I have on my sheet. I asked a few others and they said that the rev/sec is the rotational speed.
 
Look at your formula, and look at the units involved.

That will find a linear velocity at the outer edge of that ball, not rotational.
 
Thanks for the help!
 

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