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A wheel is spinning clockwise at a 10.0 revolutions per second at t = 0. Due to

ID: 1701771 • Letter: A

Question

A wheel is spinning clockwise at a 10.0 revolutions per second at t = 0. Due to friction in the bearings supporting the axle, the wheel slows down, losing 0.500 revolutions per second in angular velocity each second, until it comes to rest.

How much time does it take for the wheel to come to a stop, in s?
I got the correct answer for this question, it is 20s. It is the following question I am having difficulty with:
How many complete revolutions does the wheel turn before coming to rest?

Then, the second part:

I got the angular velocity at t=5s to be 3.93 rad/s, the angular acceleration before t=5s to be 0.785 rad/s^2.

I need help with these questions:

What is the acceleration of the hanging mass (in m/s2) during the time when the wheel's speed is increasing?

Determine the moment of inertia of the wheel. (You may assume here that the only signifcant torque acting on the wheel is that due to the string, i.e., torque due to frictional drag is negligible.)


Explanation / Answer

did you try 10 revolutions for "How many complete revolutions does the wheel turn before coming to rest?" because its average angular acceleration over the 2 seconds is 5 rev/s, so in 2 seconds it should have completeld 10 revolutions...

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