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

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

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

An input shaft connected to the motor rotates at 1200 rpm, while the output speed must be 570 rpm. The contact force between the gears is transmitted through the pressure angle of 20°. The radial force is 321,90 kN. The material for both gear and pinion is 817M40.
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.
A spur pinion of pitch diameter 50 mm rotates at 200 rad/s and transmits 3 kW power. The pressure angle of the tooth of the pinion is 20° Assuming that only one pair of the teeth is in contact the total force (in Newton) exerted by a tooth of the pinion on the tooth on a mating gear is...
Q.8 A pair of helical gears in which teeth on pinion are 20 and on gear are 30, the normal module is 5 mm and normal pressure angle is 20°. The helix angle is 30°. The pinion is provided 5 kW at 720 rpm. Determine various forces on the teeth.
A single stage spur gear gearbox has a module of 1.5mm and an input speed of 1500.p.m. and a pinion with 15 teeth. The overall ratio of the gearbox is 6:1 and the gearbox is transmitting a power of 6000W. If the factor of safetv is to be reduced to an absolute minimum acceptable value and the gears are to be made from a material with a Yield stress of 540 MPa, what is the face width of the gears (in mm) Express your answer in the form 21.00 ie with two decimal place an no units
A 10" in diameter helical gear carries a torque of 3,000 in-lb. It has 20 deg. Involute stub teeth and a helix angle of 30 deg. Determine: (a) the tangential component of the load on the teeth in the plane of rotation; (b) the separating component of the load on the teeth; (c) the angle of obliquity in th plane normal to the pitch element of the tooth, and (d) the resultant load on the tooth
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
The shafts are made of steel with shear modulus of 75 GPa. Determine the angle of twist of gear B if a torque of 25 kN·m is applied to gear B. Both shafts have the same diameter of 100 mm. (Hint: for the meshing cylindrical gears, i.e. gear C and D, the angle of twist need to time the radius of the gear while applying the equation of compatibility.)
(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.
The intermediate shaft of a two-stage gearbox is given in the figure. P = 4 kW power is transmitted at n = 150 rpm with the help of two helical gears on the shaft.The forces acting on the gears are given as Ft1 = 5092 N, Fr1 = 1972 N, Fa1 = 1853 N, Ft2 = 2546 N, Fr2 = 986 N, Fa2 = 926 N. Diameter of small helical gear d1 = 100 mm, largethe diameter of the gear is d2 = 200 mm. Shaft material yield strength 335 MPa, tensile strength 600 MPa, Kç = 1.95, ka = 0.895, kb = 0.90 and safety coefficient = 1.4now that
A truck equipped with a 50 HP engine uses a roller chain as the final drive to the rear axle. The driving sprocket runs at 225 rpm with a center distance of approximately 500 fpm. The transmission efficiency between the engine and the driving sprocket is 85%. 1.1 Determine the pitch and width of chain to be used. 1.2 Determine the number of teeth in each sprocket and the pitch diameters.
The inner and outer radii of a hollow steel shaft are 50 mm and 100 mm, respectively. The hub of a steel gear wheel that is shrunk onto the hollow shaft has an outer radius of 150 mm. The maximum allowable tangential stress developed by shrinking the gear wheel onto the hollow shaft is 200 MPa. The length of hub parallel to the shaft axis is 200 mm, and the coefficient of static friction between the hub and the shaft is 0.40. Determine the maximum torque that may be transmitted by the gear wheel without slipping on the shaft.