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​ = 60N2​ = ?

A pinion with 60 teeth is driven at 720 rpm. The driven gear must turn at 2700 rpm. How many teeth N2 must the driven gear have?

N1 = 60n1 = 720 rpmn2 = 2700 rpm
N2 =
2.Easy
N1​ = 80N2​ = 40

A driving gear with 80 teeth turns at 1500 rpm and meshes with a gear with 40 teeth. Find the speed n2 of the driven gear.

N1 = 80N2 = 40n1 = 1500 rpm
n2 = rpm
3.Medium
d1​ = 150 mmd2​ = 450 mm960 rpmn2​ = ?

A 150 mm pulley at 960 rpm drives a 450 mm pulley by a belt with 2 % slip. Find the speed n2 of the driven pulley.

n1 = 960 rpmd1 = 150 mmd2 = 450 mms = 2 %
n2 = rpm
4.Medium
d1​ = 160 mmd2​ = 250 mm1440 rpmn2​ = ?

A 160 mm pulley at 1440 rpm drives a 250 mm pulley by a belt with 2.5 % slip. Find the speed n2 of the driven pulley.

n1 = 1440 rpmd1 = 160 mmd2 = 250 mms = 2.5 %
n2 = rpm
5.Hard
d1​ = 200 mmd2​ = 500 mm1500 rpmC = 1200 mmθ = ?

An open belt connects a 200 mm pulley and a 500 mm pulley whose centres are 1200 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 200 mmd2 = 500 mmC = 1200 mm
θ = °
6.Hard
A = 45B = 50C = 12D = 32

In a compound gear train, gear A (45 teeth) on the input shaft turning at 1440 rpm drives gear B (50 teeth). Gear C (12 teeth) is fixed to the same shaft as B and drives gear D (32 teeth) on the output shaft. Find the output speed nout.

nin = 1440 rpmA = 45B = 50C = 12D = 32
nout = rpm

Answer key

  1. 1. N2 = 16
  2. 2. n2 = 3000 rpm
  3. 3. n2 = 313.6 rpm
  4. 4. n2 = 898.6 rpm
  5. 5. θ = 165.6 °
  6. 6. nout = 486 rpm

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