Consider a gear train with a pinion (driving gear), an idler gear and an output gear. The pinion shaft is rotating at 1,200 RPM and is transmitting 20 hp to the pinion. The overall train value is 2 to 1. The pinion has 20 full-depth teeth, a 20° pressure angle, and a diametral pitch of 4 teeth/in. The idler gear has 16 teeth. All gears are machined from round stocks of a low carbon steel. (a) Calculate: (1) the number of teeth on the gear, (2) the speed of the idler gear, (3) center-to- center distance between the pinion and the output gear, and (4) the height of the output gear teeth. (b) Calculate the output torque on the gear shaft, the transmitted load, and the total tooth load. (c) Determine a suitable face width if the maximum allowable stress is 15,000 psi. (c) Show how the tooth force fluctuates in each rotation of the output gear. What are the alternating tooth force, the mean tooth force and the R-ratio?

Consider a gear train with a pinion (driving gear), an idler gear and an output gear. The pinion shaft is rotating at 1,200 RPM and is transmitting 20 hp to the pinion. The overall train value is 2 to 1. The pinion has 20 full-depth teeth, a 20° pressure angle, and a diametral pitch of 4 teeth/in. The idler gear has 16 teeth. All gears are machined from round stocks of a low carbon steel. (a) Calculate: (1) the number of teeth on the gear, (2) the speed of the idler gear, (3) center-to- center distance between the pinion and the output gear, and (4) the height of the output gear teeth. (b) Calculate the output torque on the gear shaft, the transmitted load, and the total tooth load. (c) Determine a suitable face width if the maximum allowable stress is 15,000 psi. (c) Show how the tooth force fluctuates in each rotation of the output gear. What are the alternating tooth force, the mean tooth force and the R-ratio?

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

Provide the complete step-by-step solution, given data, conversion of units, and sketch for this problem. A turbine at 30,000 rpm is used to drive a reduction gear delivering 3 hp at 3,000rpm. The gears are 20 degrees involute herringbone gears of 28 pitch and 2 1/8 ineffective width. The pinion has 20 teeth with a helix angle of 23 deg. Determine theload normal to the tooth surface. A. 20.4 lbs B. 24.4 lbs C. 28.4 lbs D. 32.4
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.
Two straight-toothed bevel gears mesh with a shaft angle of 90° and a diametral pitch of 5. The pinion has 20 teeth, and the gear ratio is 2:1. The addendum and dedendum are the same as for 20 stub teeth. For the gear, determine the pitch radius, cone angle, outside diameter, cone distance, and face width.
A spur gear has a module of 5 mm, 60 teeth, and a pressure angle of 20° with full-depth teeth. The face width of the gear is equal to 4 times the circular pitch. Using the Marin size factor ?௕, determine the size factor ?௦ . Please solve question briefly, it is very important.
In a gear set, a 36-tooth spur pinion drives a 60-tooth spur gear. The teeth of these gear are cast iron profile. The diametral pitch is 6-teeth/in, the face width si 0.5 inches, and the pressure angle is 20 degrees. Assume that the pinion transmits 10 hp at a speed of 2000 rpm. Find the pitch diameters of the gears. Find the pitch line velocity in ft/min Find the velocity factor Ky Find the tangential load in lbf Find the contact stress in kpsi, assuming CP=1960 psi.
Solve this problem in spur gearsA 17-tooth pinion meshes with an 84-tooth gear. The full-depth involute gear teeth have 20° pressureangle and a diametral pitch of 32. Determine the base pitch and the contact ratio. Also,calculate theaddendum, dedendum, circular pitch, tooth thickness, and the base diameter for the pinion and gear. Ifthe center distance isincreased by 0.125 in., what are the new valuesfor thecontact ratio and thepressureangle with complete solution and write in hand writing thank you
A parallel helical gear set of 19 tooth pinion is driving a 57 tooth gear. The helix angle of 20 degrees while the normal pressure angle is 14.5 degrees and the normal diametral pitch of 10 teeth/inch. If the pinion is rotating at 1800rpm and transmits 50hp, find the normal force. Please answer in detailed solution.
A pair of gears with 20° full-depth teeth are to transmit 15hp at 1750 rpm of the 4-in pinion; velocity ratio desired is about mw= 4; intermittent service. Use a strength reduction factor of about 1.4, with the load at the tip and teeth carefullycut. A.Determine the diametral pitch, B. face width, C. and tooth numbers if the material is cast iron, class 25
In a gear set, a 36-tooth spur pinion drives a 60-tooth spur gear. The teeth of these gear are cast iron profile. The diametral pitch is 6-teeth/in, the face width si 0.5 inches, and the pressure angle is 20 degrees. Assume that the pinion transmits 10 hp at a speed of 2000 rpm. Find the tangential load in lbf Find the contact stress in kpsi, assuming CP=1960 psi.
Design A two stage spur gear reduction unit with 20- Deg full depth involute teeth. The input shaft rotates at 1440 rpm and receives 10 kW power. The speed of the output shaft should be approximately 180 rpm plus minus 5 rpm , All gears are made of steel and have the same module . Determine appropriate number of teeth of the gears in the unit .
For a pair of standard gears, the module is m=2.5mm，pressure angle is α=20 0. ha*=1. c*=0.25. The teeth number on gear 1 is z1=22. The standard center distance is a=68.75mm. If the actual center distance is a’=69.75mm, find the working pressure angle α’=( )°
A pair of gray iron and steel helical gears, having a helix angle of 15° with 20° full-depth teeth are to transmit 10 hp at 1500 rpm of a 4-in pinion having a total number of 28teeth. The velocity ratio desired is about mw = 4. Find the (a) normal circular pitch, (b) normal diametral pitch, (c) axial pitch, and (d) dynamic loa