The figure below is a spur gear train drive and gear 2 is the inlet of the gear train. It transfers 12 kw of power at 1200 rpm. Gear 3 and 4 have 60 and 20 teeth respectively and are made with 20° pressure and full-depth teeth. The desired speed for the output shaft is 32 rpm. a. Find the minimum number tooth on gear 2 to obtain 32 rpm at the output and confirm its validation for interference-free power transfer. b. Find the speed ratio at each gear set using the results obtained at "a"(above). c. Determine the rotational speed of each gear (n2, n3, n4, and ns) using the results obtained at "a"(above). d. Find the torque of each shaft (Tin, Te, Tout) assuming that there is no frictional loss during the power transfer. e. Determine the radial, tangential and total forces transmitted at the last gear set assuming a module as m=4 mm, and draw the free body diagram of gear 4 showing the forces and torques. ,75, 100 2007 In 2 5 Out D 3, C 3

The figure below is a spur gear train drive and gear 2 is the inlet of the gear train. It transfers 12 kw of power at 1200 rpm. Gear 3 and 4 have 60 and 20 teeth respectively and are made with 20° pressure and full-depth teeth. The desired speed for the output shaft is 32 rpm. a. Find the minimum number tooth on gear 2 to obtain 32 rpm at the output and confirm its validation for interference-free power transfer. b. Find the speed ratio at each gear set using the results obtained at "a"(above). c. Determine the rotational speed of each gear (n2, n3, n4, and ns) using the results obtained at "a"(above). d. Find the torque of each shaft (Tin, Te, Tout) assuming that there is no frictional loss during the power transfer. e. Determine the radial, tangential and total forces transmitted at the last gear set assuming a module as m=4 mm, and draw the free body diagram of gear 4 showing the forces and torques. ,75, 100 2007 In 2 5 Out D 3, C 3

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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There is a motor with a power of 38 HP. The driving pinion has a speed of 20 rpm and the driven pinion of 5 rpm. Design the driving pinion and driven pinion based on the rpm of each pinion. do not forget the module and the number of teeth for each pinion. Gear ratio value: i= 5 rpm / 20 rpm = 0.25
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The figure below shows a two-stage helical gear set. Pinion 2, which is in the converter position, transfers a certain rotation moment from the shaft to gear 3 in the first stage by rotating in the direction of the clock in the front view (or in the Z direction) shown in the figure. on shaft B, the pinion gear No. 4 is positioned with gear No. 3, which receives and/or transmits the drive from different gears. The number 4 Pinion in the second stage drives the number 5 gear, converting the input moment in the system to the output moment and providing movement transfer. Answer the figure in the table as follows by determining the direction of rotation of Gears 3, 4 and 5 and the Helix direction of each gear when looking at the left side view of the figure from the left (i.e. from the-z direction).Also, briefly explain how the concept of a module in Gears is determined by showing the basic dimensions on a tooth form and what the main law of gears refers to by drawing a figure.
Find the gear ratio, circular pitch, base pitch, pitch diameters, pitch radii, center distance, addendum, dedendum, whole depth, clearance of a gearset with the given parameters. A diametral pitch is 6 teeth per inch, 20°-pressure-angle, 19-tooth pinion and a 37-tooth gear. Assumptions: The tooth forms are standard AGMA full-depth involute profiles.
1. The figure below is a spur gear train drive and gear 2 is the inlet of the gear train. It transfers 12 kw of power at 1200 rpm. Gear 3 and 4 have 60 and 20 teeth respectively and are made with 20° pressure and full-depth teeth. The desired speed for the output shaft is 32 rpm. a. Find the minimum number tooth on gear 2 to obtain 32 rpm at the output and confirm its validation for interference-free power transfer. b. Find the speed ratio at each gear set using the results obtained at "a"(above). c. Determine the rotational speed of each gear (n2, n3, n4, and n5) using the results obtained at "a"(above). d. Find the torque of each shaft (Tin, Te, Tout) assuming that there is no frictional loss during the power transfer. e. Determine the radial, tangential and total forces transmitted at the last gear set assuming a module as m=4 mm, and draw the free body diagram of gear 4 showing the forces and torques. 75, 100 2007 In Out 4
A gear box has an input speed of 1800 rev/min clockwise and an output speed of 400 rev/min The input power is 25kW and the efficiency is 90%. Compute the input torque the output power 3. the output torque
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(a) Two involute gears of _pressure angle are in mesh. The number of teeth on pinion is 20 and the gear ratio is_. If the pitch expressed in module is 5 mm and the pitch line speed is_m/s, assuming addendum as standard and equal to one module, find : 1. The angle turned through by pinion when one pair of teeth is in mesh 2. The maximum velocity of sliding. D=30 G= 2 V=1.4m/sec
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2. Compute module, clearance, backlash and whole depth for 20° involute gears allowed for meshing spur gears with a circular pitch of diametral pitch of 20. The spur gear has 25 teeth.
Explain the following terms with reference to Spur gears: ①Pitch circle ② pressure angle ⑤ Backlash 6 Base Circle 3 circular pitch (4) Addendum
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