13-29. A compound reverted gear train is to be designed to provide the appropriate ratio betweenthe minute hand and the hour hand of a clock. The hour hand is attached to the shaft of gear 5,such that the rotational speed of the hour hand will equal the rotational speed of gear 5. The shaftof gear 2 passes through the center of the hollow shaft of gear 5, and has the minute handattached to it. Use spur gears with a 20° pressure angle. Specify appropriate numbers of teeth andpitch diameters, while minimizing the gearbox size.2Minute handHour hand예43

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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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Two mating spur gear with module pitch of 6.5 mm have 19 ad 47 teeth of 20° pressure angle and 6.5 mm addendum. Determine the number of pair of teeth and angle turned through by the larger wheel for one pair of teeth in contact. Determine also the sliding velocity at the instant engagement commences engagement terminates. When the pitch line velocity is 1.2 m/s. b.) The number of teeth on each of the two spur gears in mesh is 40. The teeth have 20° involute profile and the module is 6mm. If the arc of contact is 1.75 times the circular pitch. Find the addendum.
a pinion has 56.716 teeth of 5.96mm module and runs at 2.265 rev/min with a torque of 39.961N.m. it meshes with a gear wheel which has 124.409 teeth. the gears operate with a pressure angle of 27.61 degrees and a contact ratio of 31.22. If the path of recess is 1.2 times the path of approach, determine the path of recess
Two mating involute spur gears of 20 pressure angle have a gear ratio of 2. The number of teeth on the pinion is 20 and its speed is 250 r.p.m. The module pitch of teeth is 10 mm. If the addendum on each wheel is such that the path of approach and the path of recess on each side are half the maximum possible length cach, find: i) the addendum for pinion and gear wheel, i) the length of arc of contact, iiithe maximum velocity of sliding during approach and recess. Assume pinion to be driver.
Two involute gears in the mesh have a 20-degree pressure angle. gear ratio if 3 and no of teeth on the pinion is 24 and teeth have a module of 6 mmThe pitch line velocity is 1.5 m/s the addendum is equal to one module. Determine the velocity of the sliding at the beginning of contact.
Two spur gears of 24 teeth and 36 teeth of 8 mm module and 20° pressure angle are in mesh. Addendum of each gear is 7.5 mm. The teeth are of involute form. Determine : 1. the angle through which thepinion turns while any pair of teeth are in contact, and 2. the velocity of sliding between the teethwhen the contact on the pinion is at a radius of 102 mm. The speed of the pinion is 450 r.p.m
An epicyclic gear consists of ring gear, planet gear and sun gear. The ring has 72 internal teeth and sun gear has 32 external teeth . Planet gear meshes with both ring and sun gears and carried an arm which rotates about the centre of the ring gear at 20 r.p.m . If the gear A is fixed. Calculate the speed of planet gear.
Each of two gears in a mesh has 60 teeth and a module of 6 mm. The teeth are of involute profile. The arc of contact is 2.5 times the circular pitch. Determine the addendum
The shaft from a DC motor is connected to gear A which rotates at 45rps in clockwise direction. Gears B and C are compound gears as well as gears D and E. Gear A meshes with gear B and gear C drives gear D. Gear E meshes with gear F which is mounted on the driven shaft. The number of teeth on gears A, B, C, D, E and F are 21, 35, 49, 63, 56 & 84 respectively. Sketch the arrangement and determine the speed (rpm) and direction of gear F? Calculate the centre distance between the driver and driven shafts if the module of gears is 2.3 mm
A parallel-shaft gearset consists of an 18-tooth helical pinion driving a 32-tooth gear. The pinion has a left-hand helix angle of 20, a normal pressure angle of 25, and a normal module of 3 mm. Evaluate root diameter (mm) of the pinion. A) 51,21 B) 49,92 C) 50,00 D) 48,00 E) 52,08
The gear motor can develop hp when it turns at 510 rev/min. The shaft has a diameter of 1/2 in.
lb pair of bevel gears having 20 and 75 teeth are used on axes that intersect at a 90" angle. Determine the velocity ratio and the pitch angles. of both gears.
(Q.1) A compound epicyclic gear is shown in Fig. for Q.1. The shaft P is drivenat 3000 rev/min while the annulus A2 is driven at 1000 rev/min in theopposite direction. The numbers of teeth in the gears are S1, 16; S2,24; A1, 60; A2, 90. Determine the speed and direction of rotation ofshaft Q. (Q.2) A compound epicyclic gear is shown in Fig. for Q.2. C and D form acompound wheel which rotates freely on shaft G. The planet wheels B andE rotate on pins fixed in arms attached to shaft G. C and F have internalteeth: the others have external teeth with the following numbers: A, 40;B, 30; D, 50; E, 20. If A rotates at 500 rev/min and wheel F is fixed,find the speed of shaft G.

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