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​ = 200 mmd2​ = 450 mm1500 rpmv = ?

A 200 mm pulley turns at 1500 rpm. Find the belt speed v in m/s.

d1 = 200 mmn1 = 1500 rpm
v = m/s
2.Easy
d1​ = 200 mmd2​ = 500 mm720 rpmv = ?

A 200 mm pulley turns at 720 rpm. Find the belt speed v in m/s.

d1 = 200 mmn1 = 720 rpm
v = m/s
3.Medium
d1​ = 120 mmd2​ = 500 mm1500 rpmn2​ = ?

A 120 mm pulley at 1500 rpm drives a 500 mm pulley by a belt with 2.5 % slip. Find the speed n2 of the driven pulley.

n1 = 1500 rpmd1 = 120 mmd2 = 500 mms = 2.5 %
n2 = rpm
4.Medium
N1​ = 16N2​ = 50

A 4 kW motor running at 2900 rpm drives a pinion with 16 teeth, which meshes with a gear with 50 teeth. The gear pair has an efficiency of 95%. Find the output torque T2 on the gear shaft.

P = 4 kWn1 = 2900 rpmN1 = 16N2 = 50η = 95%
T2 = N·m
5.Hard
d1​ = 200 mmd2​ = 400 mm1440 rpmC = 600 mmT1​ = 1200 NT2​P = ?

An open belt connects a 200 mm driving pulley at 1440 rpm to a 400 mm pulley; the centres are 600 mm apart. The coefficient of friction is 0.3 and the tight-side tension may not exceed 1200 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 200 mmn1 = 1440 rpmd2 = 400 mmC = 600 mmμ = 0.3T1 = 1200 N
P = kW
6.Hard
d1​ = 160 mmd2​ = 200 mm1440 rpmC = 800 mmT1​ = 800 NT2​P = ?

An open belt connects a 160 mm driving pulley at 1440 rpm to a 200 mm pulley; the centres are 800 mm apart. The coefficient of friction is 0.25 and the tight-side tension may not exceed 800 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 160 mmn1 = 1440 rpmd2 = 200 mmC = 800 mmμ = 0.25T1 = 800 N
P = kW

Answer key

  1. 1. v = 15.71 m/s
  2. 2. v = 7.54 m/s
  3. 3. n2 = 351 rpm
  4. 4. T2 = 39.1 N·m
  5. 5. P = 10.3 kW
  6. 6. P = 5.195 kW

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