Problem 3: In the planetary gear system shown, the radius of gears A, B, C, and D is 30 mm and the radius of the outer gearE is 90 mm.

Knowing that gear E has an angular velocity of180 rpm clockwise and that the central gear A has an angular velocity of 240 rpm clockwise, determine (a) the angular velocity of each planetary gear, (b) the angular velocity of the spider connecting the planetary gears.