Angular Acceleration of a rotating wheel

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Homework Help Overview

The discussion revolves around determining the constant angular acceleration of a rotating wheel, given its time of rotation and final angular speed. Participants are analyzing the relationships between angular speed, time, and angular acceleration.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss their attempts to calculate angular acceleration using different formulas, questioning the assumptions about the initial conditions of the wheel's motion.

Discussion Status

The discussion has seen participants reflecting on their calculations and assumptions, particularly regarding whether the wheel starts from rest. Some have expressed frustration over their initial misunderstandings, while others have indicated they have resolved their confusion independently.

Contextual Notes

There is a suggestion that the problem may contain an assumption that the wheel does not start from rest, which could affect the calculations being attempted.

TrippingBilly
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A rotating wheel requires 2.98 s to rotate through 37.0 revolutions. Its angular speed at the end of the 2.98 s interval is 98.8 rad/s. What is the constant angular acceleration of the wheel?

First I tried acceleration = (98.8rad/s - 0 rad/s) / 2.98 s - 0s = 33.15, which was incorrect.

Then I tried acceleration = (98.8rad/sec)^2 - (0 rad/sec)^2 = 2 * acceleration * 74pi and solving for acceleration i got 20.99 but that's incorrect too. I got 74 pi by converting 37 rev.

Any clue as to what I'm doing wrong?
 
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TrippingBilly said:
A rotating wheel requires 2.98 s to rotate through 37.0 revolutions. Its angular speed at the end of the 2.98 s interval is 98.8 rad/s. What is the constant angular acceleration of the wheel?

First I tried acceleration = (98.8rad/s - 0 rad/s) / 2.98 s - 0s = 33.15, which was incorrect.

Then I tried acceleration = (98.8rad/sec)^2 - (0 rad/sec)^2 = 2 * acceleration * 74pi and solving for acceleration i got 20.99 but that's incorrect too. I got 74 pi by converting 37 rev.

Any clue as to what I'm doing wrong?
If all the information given in the problem is correct, the wheel is not starting from rest.
 
Huh, I guess I never considered that. That's frustrating :\ Thanks for your help though :)
 
never mind, i got it :)
 
Last edited:
TrippingBilly said:
never mind, i got it :)

I thought you had it when you posted your previous reply. Sorry if you were expecting something more.

TrippingBilly said:
Huh, I guess I never considered that. That's frustrating :\ Thanks for your help though :)
 
Oh no, I stopped looking at the problem for a while. But I decided to come back to it, and I had posted another question, but in the meantime I figured out the answer so I edited my post to the one you quoted. No worries :)
 

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