Question

When starting a fan, it communicates a constant angular acceleration of 2.00 rad / s2. (a)...

When starting a fan, it communicates a constant angular acceleration of 2.00 rad / s2. (a) Calculate the time necessary for it to acquire a speed of 900 r.p.m. (b) How many laps does it make in that time? (c) If after turning it off, it makes 75 turns before coming to a complete stop, how long does it take to stop?

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Answer #1

The equations for constant angular motion are,

Here, is final speed, is initial speed, is angular acceleration, is angle traveled.

(a) Here, , ,

So,

(b)

So 2220.3 rad=353.4 turn it makes in that time.

(c) Now, , and

So for the time

It will take 10 seconds to stop the fan.

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