Answer:
Therefore the constant angular acceleration of the wheel 12.43 rad /s².
Step-by-step explanation:




and

= initial angular velocity
= final angular velocity
= displacement
= angular acceleration
t = time
Here
= 37.0 revolution
rad [ since one revolution =
]
t=2.92 s
Final angular velocity =
= 97.8 rad/s
To find the angular velocity, first we need to find out the initial angular velocity
.


= 61.50 rad /s
Then the angular velocity is

rad /s²
=12.43 rad /s²
Therefore the constant angular acceleration of the wheel 12.43 rad /s².