A wheel m in radius lies in a vertical plane and rotates about its central axis with a constant angular acceleration of a = rad/s2. The wheel starts at rest so wi = at t = 0, and the radius vector of a certain point P on the rim makes an angle of th = with the horizontal at this time. At t = s, find
(a) the angular speed of the wheel and, for point P,
(b) the tangential speed,
(c) the total acceleration, and
(d) the angular position.