Design a speed-reducing planetary gearbox to be used to lift a 5-ton load 50ft with a motor that develops 20 lb-ft of torque at its operating speed of 1750 rpm. The available winch drum has no more than a 16-in diameter when full of its steel cable. The speed reducer should be no larger in diameter than the winch drum. Gears of no more than about 75 teeth are desired, and diametral pitch needs to be no smaller than 6 to stand the stresses. Make multi view sketches of your design and show all calculations. How long will it take to raise the load with your design?