Chapter 10, Problem 17P

At t = 0, a flywheel has an angular velocity of 4.7 rad/s, a constant angular acceleration of −0.25 rad/s², and a reference line at θ₀ = 0. (a) Through what maximum angle θ_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 $\theta =\frac{1}{2}{\theta }_{\max }$? At what (d) negative time and (e) positive time will the reference line be at θ = 10.5 rad? (f) Graph θ versus t, and indicate your answers.