An epicyclic gear train, as shown in Fig. 1, has a sun wheel S of 30 teeth and two planet wheels P-P of 50 teeth. The planet wheels mesh with the internal teeth of a fixed annulus A. The driving shaft carrying the sun-wheel S, transmits 4 kW at 300 r.p.m. The driven shaft is connected to an arm which carries the planet wheels. 1.1 Tabulate a table of motion for the given epicyclic gear train. 1.2 Determine the number of teeth in gear A, assume module is the same on all the gears. 1.3 Determine the speed of the arm or the driven shaft. 1.4 Determine the torque of the sun. 1.5 Determine the torque of the arm if the overall efficiency is 95 %.

An epicyclic gear train, as shown in Fig. 1, has a sun wheel S of 30 teeth and two planet wheels P-P of 50 teeth. The planet wheels mesh with the internal teeth of a fixed annulus A. The driving shaft carrying the sun-wheel S, transmits 4 kW at 300 r.p.m. The driven shaft is connected to an arm which carries the planet wheels. 1.1 Tabulate a table of motion for the given epicyclic gear train. 1.2 Determine the number of teeth in gear A, assume module is the same on all the gears. 1.3 Determine the speed of the arm or the driven shaft. 1.4 Determine the torque of the sun. 1.5 Determine the torque of the arm if the overall efficiency is 95 %.

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

See similar textbooks

Similar questions

campute the bending stress number for the goer pair described by the given data beLow. KS= 1, Km= 1,21, F= 2.00 in, DP= 3,33 in, NG= 70, Np=20 hp = 1750v. p.m, Av=11, Pd =6, Tp= 900ib V1= 1527 ft/min The matarial used for pinion a gear is cast iron
The disc clutch of an automobile is carried on a 2-inch 6-splined shaft and not to slide under load. The nominal dimensions are as follows: b = 0.25 D; t = 0.075 D and d = 0.85 D. The hub length of 150 % of shaft diameter. Determine the total horsepower transmitted at 3,600 rpm, if the yield strength of the shaft is 1,400 psi
An input shaft of a gearbox with motor power P = 7 kW and rotation number n = 1300 rpm. The diameter of an input shaft is d = 20 mm and its material is 16MnCr5. A force of F = 2800 N forces the shaft due to the operation of a gear wheel connected with a wedge on the input shaft. The distances of the gear from the bearings are given as L₁ = 40 mm and L2 = 60 mm. In the most dangerous section, you are required to check the strength according to the S = 3 safety factor. If the section is unsafe in terms of strength, what changes would you make in the design to make it safe? (The surface of the spindle is machined as fine chips, reliability poor Kg = 1.).
In a single-stage gearbox consisting of helical gear pairs, input speed ng= 900 rpm, input power P1=16 kW, the number of teeth of the pinion gear z1= 20, the number of teeth of the second gear wheel z2= 61. gear wheelmaterial is 20MnCr5, for this material: σem=230 N/mm2, pem=1500 N/mm2 and E= 2.1.105 N/mm2is (Helix angle: β=180; grip angle: α=200; factor of safety: S=1.5; form factor: Kfn=2.7; dynamic loadfactor: Kd=1.25; width factor: ψm=12; clutch ratio: ε = 1.6). (20p)a) Calculate the modulus of the gear pair.Module according to root fracture:(p1)Module according to tooth surface crushing:(p2)(Standard module values: 1 – 1.5 – 2 – 2.5 – 3 – 3.5 – 4 – 5 – 6 – 7 – 8 mm)b) Dimension the gears (Diameters of section circle, head circle and base circle, distance between axes). Pay attention the units
A pair of helical gears transmit 15 KW power and the pinion is rotating at 1000 rpm. The helix angle is 0.50 radians and the normal pressure angle is 0.35 radians. The pitch diameter of the pinion is 70 mm and the pitch diameter of the gear is 210 mm. Determine the tangential, radial, and axial forces between the gear teeth.
Two spur gears transmit 36kW with a velocity ratio of 2:1. The speed of the smaller driving gear is 100rpm. The centre distance between the shafts is to be as near as possible to 920mm. If m=10 and all-21MPa, determine a) Diameter of the shafts b)PCD for each wheel c)Number of teeth on each wheel d) Actual centre distance [ e) Width of the teeth
Bearing stress 5. Please provide proper discussion and illustration also complete solution and clear solution please thank you A solid shaft is designed to transmit 50kN @ 1800 rpm to a gear by means of 156 mm long key with square cross-section. The shaft diameter is 35.6mm. What should the cross-section be in mm2 to resist shearing, if the allowable shear stress on the key is 20 MPa?
Find the minimum shaft diameter (dmin) of the gear system given the dimensions and load values. A gear section circle diameter 40 cm; Bgear section circle diameter 20 cm; (The weight of gear wheels will be neglected); Shaft material property: Shaft material feature:yield strength = 3000N / cm; Shaft material property: yield strength = 3000N / cm2; Yield strength k = 4500N / cm2; safety coefficient = 4; K = 3 (factors)
(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.
A compound shaft drives three gears, as shown. Segments (1) and (2) of the compound shaft are hollow bronze [G = 6,500 ksi] tubes, which have an outside diameter of 2.40 in. and a wall thickness of 0.1375 in. Segments (3) and (4) are solid 1.00-in.-diameter steel [G = 11,500 ksi] shafts. The shaft lengths are L1 = 58 in., L2 = 16 in., L3 = 16 in., and L4 = 28 in. The torques applied to the shafts have magnitudes of TB = 970 lb·ft, TD = 430 lb·ft, and TE = 170 lb·ft, acting in the directions shown. The bearings shown allow the shaft to turn freely. Using the sign convention presented in Section 6.6., calculate: (a) the magnitude of the maximum shear stress in the compound shaft. (b) the rotation angle of flange C with respect to flange A. (c) the rotation angle of gear E with respect to flange A.
An engine of a motor vehicle with a wheel diameter of 712 mm develops 50 kW at 2,000 rpm combined efficiencyof the differential and transmission is 75% with an over-all speed reduction to. 1 determine he torque to bedelivered by the clutch N-m.
A 220 mm diameter of 14.5 degrees involute gear is used to transmit 50 kW at 580 rpm Find the total force transmitted on the gear.