Answer:
The wheel's rotational kinetic energy is 57.6 J.
Step-by-step explanation:
Given that,
Moment of inertia = 5.00 kg.m²
Torque = 3.00 N.m
Time = 8.00 s
We need to calculate the angular acceleration
Using formula of the torque act on the wheel


Where, I = moment of inertia
= angular acceleration
= torque
Put the value into the formula

We need to calculate the final angular velocity
Initially wheel at rest so initial velocity is zero.
Using formula of angular velocity


Put the value into the formula


We need to calculate the rotational kinetic energy of the wheel
Using formula of the rotational kinetic energy



Hence, The wheel's rotational kinetic energy is 57.6 J.