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​ = 15N2​ = 16

A driving gear with 15 teeth turns at 1500 rpm and meshes with a gear with 16 teeth. Find the speed n2 of the driven gear.

N1 = 15N2 = 16n1 = 1500 rpm
n2 = rpm
2.Easy
N1​ = 36N2​ = 48

A driving gear with 36 teeth turns at 1200 rpm and meshes with a gear with 48 teeth. Find the speed n2 of the driven gear.

N1 = 36N2 = 48n1 = 1200 rpm
n2 = rpm
3.Medium
d1​ = 150 mmd2​ = 300 mm1500 rpmT1​ = 500 NT2​ = 250 NP = ?

A belt runs on a 150 mm driving pulley at 1500 rpm. The tension is 500 N on the tight side and 250 N on the slack side. Find the power P transmitted, in kW.

d1 = 150 mmn1 = 1500 rpmT1 = 500 NT2 = 250 N
P = kW
4.Medium
N1​ = 20N2​ = 32

A 2.2 kW motor running at 960 rpm drives a pinion with 20 teeth, which meshes with a gear with 32 teeth. The gear pair has an efficiency of 97%. Find the torque T1 on the motor shaft.

P = 2.2 kWn1 = 960 rpmN1 = 20N2 = 32η = 97%
T1 = N·m
5.Hard
d1​ = 200 mmd2​ = 250 mm960 rpmC = 500 mmθ = ?

An open belt connects a 200 mm pulley and a 250 mm pulley whose centres are 500 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 200 mmd2 = 250 mmC = 500 mm
θ = °
6.Hard
d1​ = 160 mmd2​ = 200 mm1440 rpmC = 500 mmθ = ?

An open belt connects a 160 mm pulley and a 200 mm pulley whose centres are 500 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 160 mmd2 = 200 mmC = 500 mm
θ = °

Answer key

  1. 1. n2 = 1406 rpm
  2. 2. n2 = 900 rpm
  3. 3. P = 2.945 kW
  4. 4. T1 = 21.88 N·m
  5. 5. θ = 174.3 °
  6. 6. θ = 175.4 °

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