1. A fixed-axis gear train has seven gears on five shafts arranged as shown. Gear 1...

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1. A fixed-axis gear train has seven gears on five shafts arranged as shown. Gear 1 has a diametral pitch of 18 teeth/inch, gear 4 has a diametral pitch of 22 teeth/inch, and gear 6 has a diametral pitch of 20 teeth/inch. Gear 1 is an internal ring gear; all others are external gears. The input shaft rotates at 500 rpm cw with respect to the x-axis and supplies 10 hp (1 hp = 550 ft-lb/s). Each pair of meshed gears in the gear train has an efficiency of 98.5%. (20 points) (a) What is y2-7, the vertical separation between Shaft b and the output shaft? (b) What is the train value of the gear train? (c) Calculate the speed and rotation direction of the output gear (gear 7). (d) What is the output shaft torque magnitude and direction? You z Gear 1 Gear 2 Gear 3 Gear 6 Gear 7 (Internal) O O Not to scale Gear 4 Gear 5 w=500 rpm W₁ = 10 hp Gear 4 Gear 5 6 in. 8 m Gear 7 (Internal) Gear 1 D Gear 2 Gear 3 Input Shaft a Shaft b Shaft c Gear 6 Shaff d K L N₁63T N₂-36T N₁-36T N₂-55T N₁ = 88T N₂50T N = 120T P₁ = 18 tpi P₁22 tpi P=20 tpil Wy=? Wa? Output Shafte 1. A fixed-axis gear train has seven gears on five shafts arranged as shown. Gear 1 has a diametral pitch of 18 teeth/inch, gear 4 has a diametral pitch of 22 teeth/inch, and gear 6 has a diametral pitch of 20 teeth/inch. Gear 1 is an internal ring gear; all others are external gears. The input shaft rotates at 500 rpm cw with respect to the x-axis and supplies 10 hp (1 hp = 550 ft-lb/s). Each pair of meshed gears in the gear train has an efficiency of 98.5%. (20 points) (a) What is y2-7, the vertical separation between Shaft b and the output shaft? (b) What is the train value of the gear train? (c) Calculate the speed and rotation direction of the output gear (gear 7). (d) What is the output shaft torque magnitude and direction? You z Gear 1 Gear 2 Gear 3 Gear 6 Gear 7 (Internal) O O Not to scale Gear 4 Gear 5 w=500 rpm W₁ = 10 hp Gear 4 Gear 5 6 in. 8 m Gear 7 (Internal) Gear 1 D Gear 2 Gear 3 Input Shaft a Shaft b Shaft c Gear 6 Shaff d K L N₁63T N₂-36T N₁-36T N₂-55T N₁ = 88T N₂50T N = 120T P₁ = 18 tpi P₁22 tpi P=20 tpil Wy=? Wa? Output Shafte