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- 1. Multiple Choice
A 17-tooth spur pinion has a diametral pitch of 8 teeth/in, runs at 1120 rev/min, and drives a gear
at a speed of 544 rev/min. Find the number of teeth on the gear and the theoretical center-to-center
distance.
NG = 53 teeth; C = 3 in
NG = 36 teeth; C = 3.5 in
NG = 35 teeth; C = 3.25 in
- 2. Multiple Choice
A 15-tooth spur pinion has a module of 3 mm and runs at a speed of 1600 rev/min. The driven
gear has 60 teeth. Find the speed of the driven gear, the circular pitch, and the theoretical centerto-
center distance.
nG = 250 rev/min; p = 2.5π mm; C = 115.5 mm
nG = 400 rev/min; p = 3π mm; C = 112.5 mm
nG = 350 rev/min; p = 3π mm; C = 102.5 mm
- 3. Multiple Choice
A spur gearset has a module of 6 mm and a velocity ratio of 4. The pinion has 16 teeth. Find the number of teeth on the driven gear, the pitch diameters, and the theoretical center-to-center distance.
NG = 64 teeth; dG = 384 mm; dP = 96 mm; C = 240 mm
NG = 96 teeth; dG = 256 mm; dP = 64 mm; C = 160 mm
NG = 32 teeth; dG = 192 mm; dP = 48 mm; C = 120 mm
- 4. Multiple Choice
A 21-tooth spur pinion mates with a 28-tooth gear. The diametral pitch is 3 teeth/in and the pressure angle is 20◦. Find the following results: the addendum, dedendum, clearance, circular pitch, tooth thickness, and base-circle diameters; the lengths of the arc of approach, recess, and action; and the base pitch and contact ratio.
a=0.3333 in; b=0.3333 in; c=0 in; p=0.98 in; t=0.25 in; db(pinion)=5.67 in; db(gear)=4.570 in; pb=1.56 in; mc=1.33
a=0.3333 in; b=0.4167 in; c=0.0832 in; p=1.047 in; t=0.523 in; db(pinion)=6.578 in; db(gear)=8.770 in; pb=0.984 in; mc=1.55
a=0.3333 in; b=0.6417 in; c=0.3084 in; p=1.22 in; t=0.48 in; db(pinion)=6.78 in; db(gear)=8.330 in; pb=1.23 in; mc=1.66
- 5. Multiple Choice
A parallel helical gearset consists of a 19-tooth pinion driving a 57-tooth gear. The pinion has a left-hand helix angle of 30◦, a normal pressure angle of 20◦, and a normal module of 2.5 mm.
Find:
(a) The normal, transverse, and axial circular pitches
(b) The transverse diametral pitch and the transverse pressure angle
(c) The addendum, dedendum, and pitch diameter of each gear
(a) 7.854mm, 9.069mm, 13.56mm; (b) 2.457mm, 20.5⁰; (c) 3.2mm, 3.125mm, 54.85mm, 146.6mm
(a) 7.245mm, 9.069mm, 15.71mm; (b) 2.887mm, 22.5⁰; (c) 2.5mm, 3.725mm, 58.45mm, 164.6mm
(a) 7.854mm, 9.069mm, 15.71mm; (b) 2.887mm, 22.8⁰; (c) 2.5mm, 3.125mm, 54.85mm, 164.6mm
- 6. Multiple Choice
To avoid the problem of interference in a pair of spur gears using a 20◦ pressure angle, specify the minimum number of teeth allowed on the pinion for the gear ratio of 5 to 1.
Np = 16 teeth
Np = 13 teeth
Np = 15 teeth
- 7. Multiple Choice
For a spur gearset with φ = 20◦, while avoiding interference, find:
(a) The smallest pinion tooth count that will run with itself
(b) The smallest pinion tooth count at a ratio mG = 2.5, and the largest gear tooth count possible with this pinion
(c) The smallest pinion that will run with a rack
(a) 11 teeth; (b) 13 teeth, 45 teeth; (c) 16 teeth
(a) 15 teeth; (b) 16 teeth, 48 teeth; (c) 20 teeth
(a) 13 teeth; (b) 15 teeth, 45 teeth; (c) 18 teeth
- 8. Multiple Choice
Shaft a in the figure rotates at 600 rev/min in the direction shown. Find the speed and direction of rotation of shaft d.
e = 4/51; nd = 47.06 rev/min cw
e = 1/6; nd = 47.06 rev/min ccw
e = 4/17; nd = 38.56 rev/min cw
- 9. Multiple Choice
The mechanism train shown consists of an assortment of gears and pulleys to drive gear 9. Pulley 2 rotates at 1200 rev/min in the direction shown. Determine the speed and direction of rotation of gear 9.
e = 1/48; n9 = 25 rev/min ccw
e = 9/380; n9 = 28.42 rev/min cw
e = 3/304; n9 = 11.84 rev/min cw
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