The angular position of a point on a rotating wheel is given by =...

1. The angular position of a point on a rotating wheel is given by θ = 2.24 + 6.28t² + 1.82t³, where θ 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 = 5.71 s? (d) Calculate its angular acceleration at t = 2.10 s. (e) Is its angular acceleration constant?
2. A disk with a rotational inertia of 7.42 kg·m² rotates like a merry-go-round while undergoing a torque given by τ = (1.84 + 9.48t) N · m. At time t = 1.00 s, its angular momentum is 7.65 kg·m²/s. What is its angular momentum at t = 3.00 s?