2. Gear dynamics. The gear train above is driven on the input shaft with a 0.5 hp electric motor.All of the gears have a diametral pitch of 8 teeth per

inch. What are the diameters of Gears 1, 2, 3, and 4? What is the pitch-line velocity of Gear 1, in ft/min? Is the pitch-line velocity of Gear 2 the same as Gear 1? What is the pitch-line velocity of Gear 3 (and, therefore, Gear 4), in ft/min? What is the transmitted force between Gears 1 and 2, in lbf? What is the torque of Gear 1, in in-lbf? What is the torque of Gear 2? The torque of Gear 2 and 3 are the same. What is the torque of Gear 4? What is the ratio of output torque (Gear 4) to input torque (Gear 1)? Is it a coincidence that it is the same as the answer in 1 c)?