Answered: 52. Determine the possible indexing…

Engineering

Mechanical Engineering

52. Determine the possible indexing required (a) to produced a nonagon (9 sides) cross-

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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Compute and choose the nearest value of minimum number of teeth to be cut on the pinion in order to avoid interference with the help of following data: Pressure angle: 14.5o Pitch circle diameter of gear = 1500 mm Pitch circle diameter of pinion = 150 mm a. 30 b. 54 c. 18 d. 46
73 ll 6 O ... The pitch circle radius multiplied by the cosine of the pressure angle. Q3:- The increase of the contact ratio is desirable in gearing design because of:- * All of these The number of teeth will be increased in the engagement region More strength and more gear life will be achieved Smoother and faster motion None of these Q4:- To get best gearing design, it requires to:- * Increase sliding None of these Decrease sliding
Find the value of the dedendum for a 20 degree full-depth involute (coarse pitch) gear with a circular pitch of 7.5 inches per tooth.
A compound epicyclic gear train. Wheels A, D, and E are free to rotate independently on spindle O, while B and C are compound and rotate together on spindle P, on the end of arm OP. All the teeth on different gears have the same module. A, B, and C have 14 teeth, 32 teeth, and 16 teeth respectively, which are cut externally. a) Find the number of teeth on wheels D and E which are cut internally. b) Determine the magnitude and direction of the angular velocities of arm OP and gear E If wheel A is driven counterclockwise at 2 r.p.m while D is driven clockwise at 6 r.p.m., and the number of teeth of gears E and D, are 78 and 62 respectively. (Must use Tabular method) another method not accepted). Steps nber of teeth Step1 Step2 Arm OP Gear A Gear B Gear C Gear D Gear E A
1) A 20°, 24-tooth gear has AGMA standard full-depth involute teeth with diametral pitch of 5. Calculate the pitch diameter, circular pitch, addendum, dedendum, standard face width and base circle diameter. 2) Two mating internal 10-pitch, spur gears have 16 and 86 teeth. Determine the center distance. 3) Two mating external 8-pitch, 20o , spur gears have 24 and 64 teeth. Determine the contact ratio. 4) Two mating 20°, 8-pitch, spur gears have 14 and 42 teeth. Will they interfere? 5) A pair of 20°, mild-steel gears are to be selected for an application where they need to transfer 5 hp. The pinion drives at 1800 rpm and the gear must rotate as close to 480 rpm as possible. Select a set of gears to accomplish this task. a) Determine a suitable diametral pitch and pressure angle. b) Use the required velocity ratio to iterate and determine appropriate number of teeth (confirm that these gears are commercially available). c) Calculate the pitch diameters and center distance.
A gearset consists of a 16-tooth pinion driving a 40-tooth gear. The diametral pitch is 2, and the addendum and dedendum are 1/P and 1.25/P, respectively. The gears are cut using a pressure angle of 20°. (a) Compute the circular pitch, the center distance, and the radii of the base circles. (b) In mounting these gears, the center distance was incorrectly made in larger. Compute the new values of the pressure angle and the pitch-circle diameters.
Figure shown below illustrates the gears in a speed-change gearbox used in machine tool applications. By sliding the cluster gears on shafts Band C, nine speed changes can be obtained as shown in Table given below. The problem of the machine tool designer is to select tooth numbers for the various gears (2 to 10) so as to produce a reasonable distribution of speeds for the output shaft. The gears 2, 6 and 9 are having 20, 25 and 50 teeth respectively. The input shaft speed is 450 rpm and the output speed can vary from 137 rpm to 580 rpm depending on the sequence of the gears. If the output speed obtained through the gear sequence 2-5-5-8 is 257 rpm and if the minimum and maximum number of teeth in the gear system are 20 and 50 respectively, (i) Suitable tooth numbers for the remaining gears (3,4,5,7,8 & 10)
7. A typical drive train for a 'geared' bicycle meant to be used on paved road (see a representative image) has 48 teeth on front sprocket (Crank side), the diameter of front sprocket being 10.5 inches. The rear wheel has a cassette with a cluster of 6 sprockets, with number of teeth on Sprocket #1 (lowest gear) to Sprocket # 6 (highest gear) being 30, 26, 23, 20, 16 and 12, respectively. (Ignore wind resistance and friction between machine elements) (a) If the rider is pedaling at a constant 105 rpm with an effective force of 28 lb acting on periphery of front Sprocket (at 5.25 inch radius length, the force location indicated by red arrow), and is engaged in Sprocket #5, what would be the torque acting on Sprocket # 5, and the RPM at which the rear wheel is spinning? (b) For the condition as described in (a), If the diameter of wheels is 26 inches, what is the speed of the bicycle? &
A set of gears is cut with a 4'2-in/tooth circular pitch and a 17/½° pressure angle.* The pinion has 20 full-depth teeth. If the gear has 240 teeth, what maximum addendum may it have to avoid interference?
A 20 straight-tooth bevel pinion having 14 teeth and a diametral pitch of 4 teeth/in drives a 30-tooth gear. The two shafts are at right angles and in the same plane. The illustration below shows a typical right-angle bevel gear set. Bevel gear pitch diameters are measured on the outside face along the back-cone, as shown in the figure. As shown in figure 13-35, the resultant force acts at the average radius of the gear/pinion. If the power transmitted by the pinion is 10 at 1,453 rpm, calculate the pinion tangent force in lbf. Cone distance A Face Pitch angle Pitch angle Back cone Uniform clearance Pitch diameter Da Back-cone radius, h
Two gears mounted on shafts have 10 and 15 teeth, respectively. The center distance is 10 inches. The addendum equals the module, and the clearance equals 0.135 times the module. Determine (a) pitch diameters, (b) addendum, (c) dedendum, and (d) root circles. Draw simple circles showing the diameters and the center distance. Complete solution and drawing is required.
Twenty degree full depth involute profiled 19-teeth pinion and 37-teeth gear are in mesh. If the module is 5 mm, the center distance between the gear pair will be