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​ = 400 mm960 rpmn2​ = ?

A motor turning at 960 rpm drives a 160 mm pulley. A belt connects it to a 400 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 960 rpmd1 = 160 mmd2 = 400 mm
n2 = rpm
2.Easy
d1​ = 100 mmd2​ = 300 mm1450 rpmv = ?

A 100 mm pulley turns at 1450 rpm. Find the belt speed v in m/s.

d1 = 100 mmn1 = 1450 rpm
v = m/s
3.Medium
Nw​ = 60z = 4, 1450 rpm

A worm with 4 start(s) turns at 1450 rpm and drives a worm wheel with 60 teeth. Find the speed nw of the wheel.

z = 4Nw = 60n = 1450 rpm
nw = rpm
4.Medium
N1​ = 20N2​ = 80

A 4 kW motor running at 1450 rpm drives a pinion with 20 teeth, which meshes with a gear with 80 teeth. The gear pair has an efficiency of 96%. Find the output torque T2 on the gear shaft.

P = 4 kWn1 = 1450 rpmN1 = 20N2 = 80η = 96%
T2 = N·m
5.Hard
d1​ = 125 mmd2​ = 250 mm1450 rpmC = 1000 mmT1​ = 2000 NT2​P = ?

An open belt connects a 125 mm driving pulley at 1450 rpm to a 250 mm pulley; the centres are 1000 mm apart. The coefficient of friction is 0.3 and the tight-side tension may not exceed 2000 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 125 mmn1 = 1450 rpmd2 = 250 mmC = 1000 mmμ = 0.3T1 = 2000 N
P = kW
6.Hard
d1​ = 150 mmd2​ = 450 mm1440 rpmC = 1000 mmT1​ = 1200 NT2​P = ?

An open belt connects a 150 mm driving pulley at 1440 rpm to a 450 mm pulley; the centres are 1000 mm apart. The coefficient of friction is 0.25 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 = 150 mmn1 = 1440 rpmd2 = 450 mmC = 1000 mmμ = 0.25T1 = 1200 N
P = kW

Answer key

  1. 1. n2 = 384 rpm
  2. 2. v = 7.592 m/s
  3. 3. nw = 96.67 rpm
  4. 4. T2 = 101.2 N·m
  5. 5. P = 11.3 kW
  6. 6. P = 6.9 kW

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