Z X Report your final answers in the given table below (you must show full work) the table is only for reporting the final answer > Q# Y Ans Unit N Input shaft 1 N (min) Motor Output shaft 1 2 N The gear train shown in the figure below is developed to transfer power to two identical pumps connected to output shafts as indicated. Both pumps runs at 400 rpm, and are driven by 2.5 hp electrical motor running at 1200 rpm (clockwise). The designer decided to use full depth spur gears with 25 pressure angle and a diametral pitch 6 tooth/in N3 XX 3 me Pump #1 14 N 5 direction N Fx 6 Fy Pump #2 F Output shaft 2 N 1. Calculate the minimum number of teeth on gear 1 [4 pts] 2. Calculate the required number of teeth on gear 2 considering 16 tooth on gear 1; you need to check for interference. [3 pts] 3. Determine the contact ratio between gears 1 and 2 [5 pts] 4. The designer decided to have identical gears N1-N3=N5-16 teeth, and N2=N4. If the minimum central distance between the first and the second output shafts is 10 in, can proposed design satisfy the condition? Show your calculation to support your answer. [3 pts] Determine the rotational speed of gear 4 and its direction of rotation. [3 pts] 5. 6. Draw a free body diagram of gear 3 and determine all forces acting on it; using the provided reference frame. [8 pts] 7. Conceptual problem: a. What was the main purpose of including an idler gear in the second stage? [2 pts] b. Propose another arrangement/ design (system/ gears; everything can be relocated arranged) that can minimize the overall size. [2 pts]