Halliday, Resnick & Walker — Rotation: Problem Problem_80

A disk rotates at constant angular acceleration, from angular position \(\theta_1 = 10.0 \text{ rad}\) to angular position \(\theta_2 = 70.0 \text{ rad}\) in \(6.00 \text{ s}\). Its angular velocity at \(\theta_2\) is \(15.0 \text{ rad/s}\). (a) What was its angular velocity at \(\theta_1\)? (b) What is the angular acceleration? (c) At what angular position was the disk initially at rest? (d) Graph \(\theta\) versus time \(t\) and angular speed \(\omega\) versus \(t\) for the disk, from the beginning of the motion (let \(t = 0\) then).