How Many Revolutions Does a Slowing Ceiling Fan Make?

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SUMMARY

A ceiling fan initially rotates at 1.0 revolutions per second (rev/s) and uniformly decelerates to a stop over a duration of 2.4 minutes. During this time, the fan completes a total of 86.4 revolutions. To reduce its speed from 1.0 rev/s to 0.50 rev/s, the fan must make an additional 43.2 revolutions. These calculations utilize the principles of uniform acceleration and the equations of motion for rotational dynamics.

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A ceiling fan is rotating 1.0 rev/s. when turned off, it slows uniformly to a stop in 2.4 min.
How many revolutions does the fan make in this time?
Using the result from the above question, find the number of revolutions the fan must make for its speed to decrease from 1.0 rev/s to 0.50 rev/s.

Help!
thx
 
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