Pinion 2, which is located on shaft "a", rotates at 1800 rpm, and transmits 75kW to the idler gear 3 located on shaft b, refer to Figure 3(a). The pinion has a pitch diameter of 85 mm, and the idler has a pitch diameter of 170 mm. The pressure angle of the teeth is 20 degrees. 3 b. i. The pinion has a module (modular pitch) m 2.5. Determine how many teeth are on both the pinion and gear 3. Determine the tangential and radial forces that act on gear 3 from the pinion. Show both these forces on a free body diagram. i.

Pinion 2, which is located on shaft "a", rotates at 1800 rpm, and transmits 75kW to the idler gear 3 located on shaft b, refer to Figure 3(a). The pinion has a pitch diameter of 85 mm, and the idler has a pitch diameter of 170 mm. The pressure angle of the teeth is 20 degrees. 3 b. i. The pinion has a module (modular pitch) m 2.5. Determine how many teeth are on both the pinion and gear 3. Determine the tangential and radial forces that act on gear 3 from the pinion. Show both these forces on a free body diagram. i.

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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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 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 Out
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
1. A pinion of 19 teeth meshes with a gear of 37 teeth. Module is 4 mm and pressure angle is 20o. Pinion rotates at 100 rpm.Assuming both are full depth involute type,a) determine the following: vii. Addendum and dedendumviii. Contact ratioSketch the drive.b) If the center distance is increased by 10%, what is the new pressure angle?
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1. A pinion of 19 teeth meshes with a gear of 37 teeth. Module is 4mm and pressure angle is 20o. Pinion rotates at 100 rpm.Assuming both are full depth involute type,a) determine the following:i. Velocity ratioii. Speed of the geariii. Circular pitchiv. Base pitchv. PCD (pitch circle diameter) and PCR (pitch circle radii)vi. Center distancevii. Addendum and dedendumviii. Contact ratioSketch the drive.b) If the center distance is increased by 10%, what is the newpressure angle?
80 Design a two-speed gearbox suitable to transmit 25kW. The input shaft runs at 630rpm and carries two gears, A and B. The 2nd shaft carries two sliding gears, C and D. Gear C meshes with gear A, giving the driven shaft a speed of approximately 315rpm. Gear D meshes with B giving the driven shaft a speed of approximately 215rprn. The distance between the centres of the shafis is approximately 270mm and the teeth are 20° full depth involute. Using a module of 6mm and basic stress of 120MPa for all the gears, apply the Lewis formula and calculate: No of teeth for each gear [30;23;60,67] PCD for each gear [180; 138,360;402)mm True speed of gears C and D [216;27] Correct centre distance between the shafts (270) Width of the tooth material for each gear if [A&C:47mmm; B&D:53mm] the basic stress is 120MPa, using the Lewis formula. a) b) d) e) f)
The figure below represents a pair of spur gear fitted on a lathe machine. A power of 6 kW at 657 rpm has to be transmitted by a motor shaft, which is input at pinion gear and its shaft rotates in The number of teeth on pinion and the gear are 29, and 72 respectively, while the module is 8 mm. Assume a pressure angle of 20°. Calculate, the torque on the shaft of the pinion and the gear. Pinion Gear **Note: Please upload your handwritten working/solution to the link provided. Addendum in ..mm . dedendum in .mm . Tooth thickness in .mm . The tangential force component of pinion and the gear in .N . ((日

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Let Module 5 (m = 5) for a given mutual spur gear pair; Strength, Wear Load, Static Load and Dynamic Show if the conditions for load control are met? For pinion gear:Gear material strength Steel 2k = 900 N / mmSpeed: 1400 rpmd1 = 90 mmZ1 = 18 teethVery precise workmanshipHardness: BHN (Brinell Hardness Number) 400Gripping angle: 20 (full depth involute).It will transfer 22 kW of power For large gear:Gear material strength Steel k = 900 N / mm2d2 = 360 mm Acceptance and Table values: Value depending on tooth width: K = 4 (best value will be taken) Peripheral speed: V = 6 m / s Deformation coefficient: C = 171 kN / m Lewis factor: y = 0.102 Stress fatigue coefficient: k = 2553 kN / m2 Gear wheel width: b = 62 mm
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