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​ = 80N2​ = 32

A driving gear with 80 teeth turns at 1200 rpm and meshes with a gear with 32 teeth. Find the speed n2 of the driven gear.

N1 = 80N2 = 32n1 = 1200 rpm
n2 = rpm
2.Easy
A = 15B = 40C = 18

Gear A (15 teeth) turns at 900 rpm and drives an idler gear B (40 teeth), which in turn drives gear C (18 teeth). All three gears are on separate shafts. Find the speed nC of gear C.

NA = 15NB = 40NC = 18nA = 900 rpm
nC = rpm
3.Medium
N1​N2​ = ?

Two parallel shafts are 125 mm apart. They must be connected by a pair of spur gears with a module of 2.5 mm and a speed reduction of 3 : 1. How many teeth N2 must the gear have?

a = 125 mmm = 2.5 mmi = 3
N2 =
4.Medium
N1​ = 16, m = 5 mm

A 7.5 kW motor running at 1440 rpm drives a pinion with 16 teeth and a module of 5 mm. Find the tangential force Ft on the pinion teeth.

P = 7.5 kWn = 1440 rpmN1 = 16m = 5 mm
Ft = N
5.Hard
d1​ = 200 mmd2​ = 300 mm960 rpmC = 600 mmT1​ = 1200 NT2​P = ?

An open belt connects a 200 mm driving pulley at 960 rpm to a 300 mm pulley; the centres are 600 mm apart. The coefficient of friction is 0.35 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 = 200 mmn1 = 960 rpmd2 = 300 mmC = 600 mmμ = 0.35T1 = 1200 N
P = kW
6.Hard
d1​ = 150 mmd2​ = 450 mm1500 rpmC = 800 mmθ = ?

An open belt connects a 150 mm pulley and a 450 mm pulley whose centres are 800 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 150 mmd2 = 450 mmC = 800 mm
θ = °

Answer key

  1. 1. n2 = 3000 rpm
  2. 2. nC = 750 rpm
  3. 3. N2 = 75
  4. 4. Ft = 1243 N
  5. 5. P = 7.805 kW
  6. 6. θ = 158.4 °

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