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​ = 25

A pinion with 15 teeth meshes with a gear with 25 teeth. Both have a module of 2 mm. Find the centre distance a between the two shafts.

N1 = 15N2 = 25m = 2 mm
a = mm
2.Easy
N1​ = 20N2​ = 45

A driving gear with 20 teeth turns at 3000 rpm and meshes with a gear with 45 teeth. Find the speed n2 of the driven gear.

N1 = 20N2 = 45n1 = 3000 rpm
n2 = rpm
3.Medium
d1​ = 150 mmd2​ = 300 mm1450 rpmT1​ = 1000 NT2​ = 200 NP = ?

A belt runs on a 150 mm driving pulley at 1450 rpm. The tension is 1000 N on the tight side and 200 N on the slack side. Find the power P transmitted, in kW.

d1 = 150 mmn1 = 1450 rpmT1 = 1000 NT2 = 200 N
P = kW
4.Medium
N1​N2​ = ?

Two parallel shafts are 262.5 mm apart. They must be connected by a pair of spur gears with a module of 5 mm and a speed reduction of 2.5 : 1. How many teeth N2 must the gear have?

a = 262.5 mmm = 5 mmi = 2.5
N2 =
5.Hard
d1​ = 150 mmd2​ = 400 mm1450 rpmC = 1000 mmθ = ?

An open belt connects a 150 mm pulley and a 400 mm pulley whose centres are 1000 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 150 mmd2 = 400 mmC = 1000 mm
θ = °
6.Hard
d1​ = 150 mmd2​ = 500 mm2880 rpmC = 500 mmT1​ = 2000 NT2​P = ?

An open belt connects a 150 mm driving pulley at 2880 rpm to a 500 mm pulley; the centres are 500 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 = 150 mmn1 = 2880 rpmd2 = 500 mmC = 500 mmμ = 0.3T1 = 2000 N
P = kW

Answer key

  1. 1. a = 40 mm
  2. 2. n2 = 1333 rpm
  3. 3. P = 9.111 kW
  4. 4. N2 = 75
  5. 5. θ = 165.6 °
  6. 6. P = 23.39 kW

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