13-38. In the gearbox shown, gears 4 and 5 are compounded to the same shaft. The gearboxreceives an input power of 4 hp at a speed of 300 rpm. The gears have a diametral pitch of 6 teeth/in,a 20° pressure angle, and the following numbers of teeth: N7 = 80 teeth, N = N3 = 20 teeth, N4 = 60teeth, N₂ = 30 teeth. Assume all shafts lie in the same plane. Assume the gearbox is reasonablyefficient, so losses can be neglected for this analysis.(a) the number of teeth needed on gear 6 to make the inputand output shafts be in-line.(b) the minimum inside dimension of the gearbox Y beforeadding any clearance.(c) the pitch line velocity for gear 2, in units of ft/min.(d) the tangential force transmitted between gears 2 and 3.(e) the radial force transmitted between gears 2 and 3.(f) the input torque, in units of lbf-ft.(g) the output torque, in units of lbf-ft.(h) the output speed, in units of rev/min.(i) the output power, in units of hp.5 ☑6InputOutput

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Answered: 13-38. In the gearbox shown, gears 4…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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187 13-40 The figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth 20° pinion driving a 45-tooth gear. The power input is 32-hp at 1800 rev/min. Find the direction and magnitude of the forces acting on bearings A, B, C, and D. 13-41 The figure shows the electric-motor frame dimensions for a 30-hp 900 rev/min motor. The frame is bolted to its support using four -in bolts spaced 11 in apart in the view shown and 14 in apart when viewed from the end of the motor. A 4 diametral pitch 20° spur pinion having 20 teeth and a face width of 2 in is keved to and fluch with 3 in 3 in Problem 13-40
The figure shows a double-reduction helical gearset. Pinion 2 is the driver, and it receives a torque of 1200 Ibf • in from its shaft in the direction shown. Pinion 2 has a normal diametral pitch of 8 teeth/in, 14 teeth, and a normal pressure angle of 20° and is cut right-handed with a helix angle of 30°. The mating gear 3 on shaft b has 36 teeth. Gear 4, which is the driver for the second pair of gears in the train, has a normal diametral pitch of 3 teeth/in, 15 teeth, and a normal pressure angle of 20° and is cut left-handed with a helix angle of 15°. Mating gear S has 45 teeth. Find the magnitude and direction of the force exerted by the bearings C and D on shaft b if bearing C can take only a radial load while bearing D is mounted to take both radial and thrust loads.
A gearbox is to be designed with a compound reverted gear train that transmits 25 horsepower with an input speed of 1000 rev/min. The output should deliver the power at a rotational speed in the range of 280 to 300 rev/min. Spur gears with 20° pressure angle are to be used. Determine suitable numbers of teeth for each gear, to minimize the gearbox size while providing an output speed within the specified range. Be sure to avoid an interference problem in the teeth. The suitable numbers of teeth for each gear to minimize the gearbox size while providing an output speed within the specified range are N2= N3= N4= N5= teeth teeth teeth teeth
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A gear train with a ratio of -6:1 and a diametral pitch of 8 is used to reduce the speed from an electric motor to a shaft driving a grocery checkout conveyor. Grocery checkout conveyor Electric motor @, = 1800 rpm a. If the motor rotates at 1800 rpm clockwise, determine the speed and direction of the large gear. b. For a pressure angle of 20 deg, determine the minimum number of teeth for the pinion. Assume the gears are cut by a shaper (NOT a hob). c. Specify pitch diameters and numbers of teeth for the pinion and the gear for the most compact gear train.
Three 14.5° pressure angle spur gears with a diametral pitch of 8 are meshed. The input pinion on the left is running clockwise at 3101 rpm and transmits 3.2 Hp. Gear 1 (Pinion) Input N1 = 20 teeth Gear 2 Idler N2 = 75 teeth Gear 3 Output N3 = 25 teeth Answer the following: 1. Pinion (Gear 1) pitch diameter 2. Gear 2 pitch diameter 3. Gear 3 pitch diameter 4. Circular pitch 5. Addenda 6. Center distance from gear 1 to gear 3 7. Line of action 8. Contact ratio of gear 1 and 2 9. Gear ratio from gear 1 to gear 3( for gear 1 contacting gear 2, 10. Draw a free-body diagram of Gear 2, showing the radial and tangential forces. Calculate these forces. What is the reaction force in the bearing?
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9-19. Design a compound, reverted, spur gear transmission that will give two shiftable ratios of + 3:1 forward and -4.5:1 reverse with diametral pitch of 6. Specify pitch diameters and numbers of teeth.
The gear ratio shown must transmit 10 horsepower (66000 lb in/s) from its input, which is rotating at a speed of 1200 revolutions per minute. It must increase the torque received at its input shaft 16 times. Spur gears with 20° pressure angle should be used. Input and output shafts should be aligned. The transmission should take up as little space as possible. The distance between the centers of the input shaft and the intermediate shaft (the one that loads gears 3 and 4) should be 10 inches. Determine the magnitude of the radial load that gear 4 exerts on gear 4. Write your answer in pounds.
13-31 Shaft a in the figure has a power input of 75 kW at a speed of 1000 rev/min in the counterclock- wise direction. The gears have a module of 5 mm and a 20° pressure angle. Gear 3 is an idler. (a) Find the force F3, that gear 3 exerts against shaft b. (b) Find the torque T4c that gear 4 exerts on shaft c. -517 -34T Problem 13-31 3 17T

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