Answer:
(a). The acceleration is 8.3 rad/s².
(b). The time is 3.0 sec.
Explanation:
Given that,
Rotation = 20.0 times
Time = 5.00 sec
We need to calculate the angular frequency
Using formula of angular frequency

put the value into the formula


We need to calculate the angular displacement
Using formula of angular displacement

We need to calculate the angular acceleration
Using equation of angular motion




Negative sign shows the opposite direction of the motion.
The acceleration is 8.3 rad/s².
We need to calculate the time
Using equation of angular motion




The time is 3.0 sec.
Hence, (a). The acceleration is 8.3 rad/s².
(b). The time is 3.0 sec.