Problem 2A speed-reducer gearbox containing a compound reverted gear train transmits 35horsepower with an input speed of 1200 rev/min. Spur gears with 20• pressure angleare used, with 16 teeth on each of the small gears and 48 teeth on each of the largergears. A diametral pitch of 10 teeth/in is proposed.(d) Determine the input torque.(e) Determine the output torque, neglecting frictional losses.

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Answered: Problem 2 A speed-reducer gearbox…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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Problem 1.1MA

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Problem 2 A speed-reducer gearbox containing a compound reverted gear train transmits 35 horsepower with an input speed of 1200 rev/min. Spur gears with 20• pressure angle are used, with 16 teeth on each of the small gears and 48 teeth on each of the larger gears. A diametral pitch of 10 teeth/in is proposed. (a) Determine the speeds of the intermediate and output shafts. (b) Determine the pitch line velocities (in ft/min) for each set of gears. (c) Determine the magnitudes of the tangential, radial, and total forces transmitted between each set of gears. (d) Determine the input torque. (e) Determine the output torque, neglecting frictional losses.
A parallel shaft helical gear consists of a 20 dts drive pinion And a 96 driven gear. Both gears have a transverse diametrical pitch of 20 dts / in, a helix angle of 25 and a pressure angle on = 20 . The face width is 4 in., AND the gears are moving at 1600 ft / min, on the pitch line. The impeller is made of steel UNSG 10180 CD and without heat treatment; the driven one is made of grade 30 cast iron. Based on flexural strength calculations, evaluate the capacity or safe maximum power at hp. Consider general industrial service, and nG = 4.
4. A pair of spur gears with a centre distance of 495 mm is used for a speed reduction of 4.5:1. The module is 6 mm. Calculate the number of teeth on the pinion and the gear.
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
For full depth of involute spur gears. minimum number of teeth of pinion to avoid interference depends upon (a) pressure angles B.Speed ratio C.circular pitch D pitch diameter
2. A pair of bevel gears have their shafts at right angles. The larger gear has 50 teeth of 4 diametral pitch and is made of SAE 1045 steel. The pinion has 20 teeth and runs at 850 rpm and transmit 30 hp. Determine: A. the gear diameter B. the pinion diameter C. the length of contact D. the pitch line velocity of the pinion E. the tangential force Ans. 12.5 in Ans. 5 in Ans. 6.73 in Ans. 1,112 fpm Ans. 890 lbs
OL Two involute gears of 20 pressure angie are in mesh. The nomber of teeth on pinion is 20 and the gear ratio is 2. If the pitch expressed in module is 5 mm and the pitch line speed is 1.2 m/s, assuming addendum as standard and equal to one module, find: 1 The angle turnad through by pinion when one pair of teeth is in mesh; and 2 The maximum veloctty of sitding
A pair of helical gears mounted on parallel shafts have P, = 6, d, - 20°, and b= 4 in. The 32-tooth pinion and 48-tooth gear are made of steel having 400 Bhn and 350 Bhn, respectively. Manufacturing precision corresponds to curve C of Velocity factor chart. Use a mounting factor of 1.6. Center distance is 7.5 in. 1. What helix angle is required? 2. Estimate the horsepower that can be transmitted for 10 pinion revolutions with 99% reliability and a safety factor of 1.5 if the driving motor rotates 1200 rpm and involyes light shock and the driven load involves medium shock. Check for bending fatigue only.
A gearbox is to be designed with a compound reverted gear train that transmits 25 horsepower with an input speed of 1000 rev/min. The output should deliver the power at a rotational speed in the range of 280 to 300 rev/min. Spur gears with 20° pressure angle are to be used. Determine suitable numbers of teeth for each gear, to minimize the gearbox size while providing an output speed within the specified range. Be sure to avoid an interference problem in the teeth. The suitable numbers of teeth for each gear to minimize the gearbox size while providing an output speed within the specified range are N2= N3= N4= N5= teeth teeth teeth teeth
A pair of helical gears are machined with a hob. The hob has a 20 degree pressure angle and machines circular pitch of 0.55 inch/tooth on a spur gear. Two gears are machined, the pinion has 18 teeth and the gear has 36 teeth. The measured transverse diametral pitch on the pinion is 5 inch/tooth. The pinion transmits 10 hp at 1,795 rpm. Calculate the pinion axial force in lbf.
3. A pair of 20° full-depth involute tooth spur gears is to transmit 30 kW at a speed of 250 r.p.m. of the pinion. The velocity ratio is 1:4. The pinion is made of cast steel having an allowable static stress, o, = 100 MPa, while the gear is made of cast iron having allowable static stress, o,= 55 MPa. The pinion has 20 teeth and its face width is 12.5 times the module. Determine the module, face width and pitch diameters of both the pinion and gear from the standpoint of strength only taking velocity factor into consideration. The tooth form factor is given by the expression 0.912 0.154 – y = No. of teeth and velocity factor is given by 3 where v is the peripheral speed of the gear in m/s. 3+ v
A pickup truck is driving at a speed of 100 km/h on a leveled road. This truck has4 wheels of the same diameter of 400 mm and drives at a gear ratio of 5 to 1 ifits gearbox 5th gear is selected. The gear’s teeth are of involute form with amodule of 8 mm, an addendum is double the module, and the pressure angle isequal to 20° .1.1. If the driving shaft of the front wheels of the truck is connected to the output shaftof the gearbox, determine the number of teeth on the pinion to avoid interferenceand the corresponding number of teeth on the gear wheel.

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