Part 1: Gear A of transmission system in Figure 1, has a motor connected to its shaft that rotates it with an angular acceleration aA = (2 +0.006-02) rad/s2, where represents the angular displacement in radians. If gear A has an initial angular velocity WA0 15 rad/s. a) Calculate the magnitude of the angular velocity of gear A when it has rotated 10 rev. b) Calculate the magnitude of the angular velocity of gear B. 175 mm 100 mm WA Part 2: The bar AB in Figure 2 is rotating with respect to an axis passing through the fixed point O at an angular velocity a counterclockwise as indicated in that figure. The magnitude of the relative velocity of point A with respect to point B is 6 m/s. a) Calculate the velocity vector of point B of rod AB with respect to the fixed point 0. b) Calculate the magnitude of acceleration of point A of the bar AB with respect to the fixed point O, when the bar is rotating at an angular acceleration of 6 rad/s2. 0.4 m 0.2 m B -0.4 m -0.4 m- Part 3: The fan blades in Figure 3 have a total mass of 2 kg, the moment of inertia of the fan with respect to a perpendicular axis passing through the center O of the fan is Io = 0.18 kg-m2. If the fan is rotating due to a momentum M = 10t+ 45t3 N-m, where t represents the time in seconds, taking into account that it starts from rest, calculate after t = 4s: (a) The magnitude of the angular acceleration. b) The power of the fan M