Halliday, Resnick & Walker — Rotation: Problem Problem_76

Starting from rest at \( t = 0 \), a wheel undergoes a constant angular acceleration. When \( t = 2.0 \text{ s} \), the angular velocity of the wheel is \( 5.0 \text{ rad/s} \). The acceleration continues until \( t = 20 \text{ s} \), when it abruptly ceases. Through what angle does the wheel rotate in the interval \( t = 0 \) to \( t = 40 \text{ s} \)?