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​ = 12

A driving gear with 15 teeth turns at 2400 rpm and meshes with a gear with 12 teeth. Find the speed n2 of the driven gear.

N1 = 15N2 = 12n1 = 2400 rpm
n2 = rpm
2.Easy
N1​ = 12N2​ = 15

A driving gear with 12 teeth turns at 2400 rpm and meshes with a gear with 15 teeth. Find the speed n2 of the driven gear.

N1 = 12N2 = 15n1 = 2400 rpm
n2 = rpm
3.Medium
N1​ = 16, m = 2.5 mm

A 15 kW motor running at 960 rpm drives a pinion with 16 teeth and a module of 2.5 mm. Find the tangential force Ft on the pinion teeth.

P = 15 kWn = 960 rpmN1 = 16m = 2.5 mm
Ft = N
4.Medium
N1​N2​ = ?

Two parallel shafts are 93.75 mm apart. They must be connected by a pair of spur gears with a module of 1.5 mm and a speed reduction of 4 : 1. How many teeth N2 must the gear have?

a = 93.75 mmm = 1.5 mmi = 4
N2 =
5.Hard
d1​ = 120 mmd2​ = 250 mm1450 rpmC = 800 mmθ = ?

An open belt connects a 120 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 = 120 mmd2 = 250 mmC = 800 mm
θ = °
6.Hard
d1​ = 80 mmd2​ = 315 mm1450 rpmC = 600 mmθ = ?

An open belt connects an 80 mm pulley and a 315 mm pulley whose centres are 600 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 80 mmd2 = 315 mmC = 600 mm
θ = °

Answer key

  1. 1. n2 = 3000 rpm
  2. 2. n2 = 1920 rpm
  3. 3. Ft = 7460 N
  4. 4. N2 = 100
  5. 5. θ = 170.7 °
  6. 6. θ = 157.4 °

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