While you are operating a Rotor (a large, vertical, rotating cylinder found in amusement parks), you spot a passenger in acute distress and decrease the angular velocity of the cylinder from 3.40 rad/s to 2.00 rad/s in 20.0 rev, at constant angular acceleration. (The passender is obviously more of a "translation person" than a "rotation person.")
(a) What is the constant angular acceleration during this decrease in angular speed?
How much time did the speed decrease take?

Explanation

To solve the problem, we need to find the constant angular acceleration and the time taken for the speed decrease of the rotor.

### Step 1: Convert the angular displacement from revolutions to radians
Given that the angular displacement θ is 20 revolutions, we convert this to radians:

\[ \theta = 20 \text{ revolutions} \times 2\pi \text{ radians/revolution} = 40\pi \text{ radians} \]
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