Walker, Halliday & Resnick — Rotation: Problem 4

4 The angular position of a point on a rotating wheel is given by \(\theta = 2.0 + 4.0t^2 + 2.0t^3\), where \(\theta\) is in radians and \(t\) is in seconds. At \(t = 0\), what are (a) the point’s angular position and (b) its angular velocity? (c) What is its angular velocity at \(t = 3.0\) s? (d) Calculate its angular acceleration at \(t = 4.0\) s. (e) Is its angular acceleration constant?