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
N1​ = 30N2​ = 16

A driving gear with 30 teeth turns at 600 rpm and meshes with a gear with 16 teeth. Find the speed n2 of the driven gear.

N1 = 30N2 = 16n1 = 600 rpm
n2 = rpm
2.Easy
N1​ = 24N2​ = 30

A driving gear with 24 teeth turns at 2400 rpm and meshes with a gear with 30 teeth. Find the speed n2 of the driven gear.

N1 = 24N2 = 30n1 = 2400 rpm
n2 = rpm
3.Medium
N1​ = 40N2​ = 50

A 2.2 kW motor running at 1440 rpm drives a pinion with 40 teeth, which meshes with a gear with 50 teeth. The gear pair has an efficiency of 96%. Find the output torque T2 on the gear shaft.

P = 2.2 kWn1 = 1440 rpmN1 = 40N2 = 50η = 96%
T2 = N·m
4.Medium
N1​ = 16, m = 5 mm

A 4 kW motor running at 960 rpm drives a pinion with 16 teeth and a module of 5 mm. Find the tangential force Ft on the pinion teeth.

P = 4 kWn = 960 rpmN1 = 16m = 5 mm
Ft = N
5.Hard
d1​ = 200 mmd2​ = 400 mm960 rpmC = 1200 mmT1​ = 600 NT2​P = ?

An open belt connects a 200 mm driving pulley at 960 rpm to a 400 mm pulley; the centres are 1200 mm apart. The coefficient of friction is 0.35 and the tight-side tension may not exceed 600 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 200 mmn1 = 960 rpmd2 = 400 mmC = 1200 mmμ = 0.35T1 = 600 N
P = kW
6.Hard
d1​ = 200 mmd2​ = 250 mm1440 rpmC = 1200 mmT1​ = 500 NT2​P = ?

An open belt connects a 200 mm driving pulley at 1440 rpm to a 250 mm pulley; the centres are 1200 mm apart. The coefficient of friction is 0.35 and the tight-side tension may not exceed 500 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 200 mmn1 = 1440 rpmd2 = 250 mmC = 1200 mmμ = 0.35T1 = 500 N
P = kW

Answer key

  1. 1. n2 = 1125 rpm
  2. 2. n2 = 1920 rpm
  3. 3. T2 = 17.51 N·m
  4. 4. Ft = 994.7 N
  5. 5. P = 3.902 kW
  6. 6. P = 4.992 kW

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