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​ = 45N2​ = 36

A driving gear with 45 teeth turns at 1500 rpm and meshes with a gear with 36 teeth. Find the speed n2 of the driven gear.

N1 = 45N2 = 36n1 = 1500 rpm
n2 = rpm
2.Easy
N1​ = 32N2​ = 16

A driving gear with 32 teeth turns at 900 rpm and meshes with a gear with 16 teeth. Find the speed n2 of the driven gear.

N1 = 32N2 = 16n1 = 900 rpm
n2 = rpm
3.Medium
d1​ = 125 mmd2​ = 450 mm720 rpmT1​ = 1000 NT2​ = 300 NP = ?

A belt runs on a 125 mm driving pulley at 720 rpm. The tension is 1000 N on the tight side and 300 N on the slack side. Find the power P transmitted, in kW.

d1 = 125 mmn1 = 720 rpmT1 = 1000 NT2 = 300 N
P = kW
4.Medium
N1​ = ?N2​

Two parallel shafts are 360 mm apart. They must be connected by a pair of spur gears with a module of 5 mm and a speed reduction of 5 : 1. How many teeth N1 must the pinion have?

a = 360 mmm = 5 mmi = 5
N1 =
5.Hard
d1​ = 150 mmd2​ = 200 mm1440 rpmC = 1200 mmθ = ?

An open belt connects a 150 mm pulley and a 200 mm pulley whose centres are 1200 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 150 mmd2 = 200 mmC = 1200 mm
θ = °
6.Hard
d1​ = 200 mmd2​ = 250 mm2880 rpmC = 800 mmθ = ?

An open belt connects a 200 mm pulley and a 250 mm pulley whose centres are 800 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 200 mmd2 = 250 mmC = 800 mm
θ = °

Answer key

  1. 1. n2 = 1875 rpm
  2. 2. n2 = 1800 rpm
  3. 3. P = 3.299 kW
  4. 4. N1 = 24
  5. 5. θ = 177.6 °
  6. 6. θ = 176.4 °

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