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​ = 36N2​ = 25

A driving gear with 36 teeth turns at 900 rpm and meshes with a gear with 25 teeth. Find the speed n2 of the driven gear.

N1 = 36N2 = 25n1 = 900 rpm
n2 = rpm
2.Easy
N1​ = 12N2​ = 30

A pinion with 12 teeth meshes with a gear with 30 teeth, module 2.5 mm. Find the pitch diameter d2 of the gear.

N1 = 12N2 = 30m = 2.5 mm
d2 = mm
3.Medium
d1​ = 200 mmd2​ = 450 mm1440 rpmn2​ = ?

A 200 mm pulley at 1440 rpm drives a 450 mm pulley by a belt with 3 % slip. Find the speed n2 of the driven pulley.

n1 = 1440 rpmd1 = 200 mmd2 = 450 mms = 3 %
n2 = rpm
4.Medium
d1​ = 80 mmd2​ = 300 mm1500 rpmn2​ = ?

An 80 mm pulley at 1500 rpm drives a 300 mm pulley by a belt with 2 % slip. Find the speed n2 of the driven pulley.

n1 = 1500 rpmd1 = 80 mmd2 = 300 mms = 2 %
n2 = rpm
5.Hard
d1​ = 150 mmd2​ = 400 mm960 rpmC = 600 mmθ = ?

An open belt connects a 150 mm pulley and a 400 mm pulley whose centres are 600 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 150 mmd2 = 400 mmC = 600 mm
θ = °
6.Hard
A = 20B = 36C = 18D = 30

In a compound gear train, gear A (20 teeth) on the input shaft turning at 3000 rpm drives gear B (36 teeth). Gear C (18 teeth) is fixed to the same shaft as B and drives gear D (30 teeth) on the output shaft. Find the output speed nout.

nin = 3000 rpmA = 20B = 36C = 18D = 30
nout = rpm

Answer key

  1. 1. n2 = 1296 rpm
  2. 2. d2 = 75 mm
  3. 3. n2 = 620.8 rpm
  4. 4. n2 = 392 rpm
  5. 5. θ = 156 °
  6. 6. nout = 1000 rpm

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