A circular disk (like a CD, wheel, or galaxy disk), starting from rest, rotates with an angular acceleration given by a = (2 + 6t) rad/s?
a. Derive the expression for the angular speed as a function of time.
b. Derive the expression for the angle the wheel turns through a function of time.
c. Determine a, w and angular displacement att = 3 s.
d. If the disk has a radius of 3 m, determine the linear speed, and the radial, and tangential
components of the linear acceleration of a point on the rim of the disk at t=3 s.