Gears & gear trains worksheet with answers

Free printable Gears & gear trains worksheet: 6 problems from easy to exam level, with an answer key. Print it or save it as a PDF.

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1.Easy
d1​ = 160 mmd2​ = 250 mm960 rpmn2​ = ?

A motor turning at 960 rpm drives a 160 mm pulley. A belt connects it to a 250 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 960 rpmd1 = 160 mmd2 = 250 mm
n2 = rpm
2.Easy
d1​ = 100 mmd2​ = 200 mm1500 rpmn2​ = ?

A motor turning at 1500 rpm drives a 100 mm pulley. A belt connects it to a 200 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 1500 rpmd1 = 100 mmd2 = 200 mm
n2 = rpm
3.Medium
N1​ = 25N2​ = 40

A 0.75 kW motor running at 1450 rpm drives a pinion with 25 teeth, which meshes with a gear with 40 teeth. The gear pair has an efficiency of 95%. Find the torque T1 on the motor shaft.

P = 0.75 kWn1 = 1450 rpmN1 = 25N2 = 40η = 95%
T1 = N·m
4.Medium
Tw​ = ?z = 2, 1450 rpm

A 0.75 kW motor at 1450 rpm drives a worm with 2 start(s). The worm wheel has 80 teeth and the drive has an efficiency of 50%. Find the output torque Tw on the wheel shaft.

z = 2Nw = 80n = 1450 rpmP = 0.75 kWη = 50%
Tw = N·m
5.Hard
A = 30B = 36C = 50D = 60

In a compound gear train, gear A (30 teeth) on the input shaft turning at 1440 rpm drives gear B (36 teeth). Gear C (50 teeth) is fixed to the same shaft as B and drives gear D (60 teeth) on the output shaft. Find the output speed nout.

nin = 1440 rpmA = 30B = 36C = 50D = 60
nout = rpm
6.Hard
A = 12B = 72C = 15D = 80

In a compound gear train, gear A (12 teeth) on the input shaft turning at 2900 rpm drives gear B (72 teeth). Gear C (15 teeth) is fixed to the same shaft as B and drives gear D (80 teeth) on the output shaft. Find the output speed nout.

nin = 2900 rpmA = 12B = 72C = 15D = 80
nout = rpm

Answer key

  1. 1. n2 = 614.4 rpm
  2. 2. n2 = 750 rpm
  3. 3. T1 = 4.939 N·m
  4. 4. Tw = 98.79 N·m
  5. 5. nout = 1000 rpm
  6. 6. nout = 90.63 rpm

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