Walker, Halliday & Resnick — Rotation: Problem 17

17 At $t = 0$, a flywheel has an angular velocity of $4.7 \text{ rad/s}$, a constant angular acceleration of $-0.25 \text{ rad/s}^2$, and a reference line at $\theta_0 = 0$. (a) Through what maximum angle $\theta_{\text{max}}$ will the reference line turn in the positive direction? What are the (b) first and (c) second times the reference line will be at $\theta = \frac{1}{2} \theta_{\text{max}}$? At what (d) negative time and (e) positive time will the reference line be at $\theta = -10.5 \text{ rad}$? (f) Graph $\theta$ versus $t$, and indicate your answers.