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​ = 40

A driving gear with 36 teeth turns at 3000 rpm and meshes with a gear with 40 teeth. Find the speed n2 of the driven gear.

N1 = 36N2 = 40n1 = 3000 rpm
n2 = rpm
2.Easy
N1​ = 25N2​ = 48

A driving gear with 25 teeth turns at 1200 rpm and meshes with a gear with 48 teeth. Find the speed n2 of the driven gear.

N1 = 25N2 = 48n1 = 1200 rpm
n2 = rpm
3.Medium
N1​ = ?N2​

Two parallel shafts are 225 mm apart. They must be connected by a pair of spur gears with a module of 3 mm and a speed reduction of 4 : 1. How many teeth N1 must the pinion have?

a = 225 mmm = 3 mmi = 4
N1 =
4.Medium
N1​ = 20, m = 2 mm

A 15 kW motor running at 960 rpm drives a pinion with 20 teeth and a module of 2 mm. Find the tangential force Ft on the pinion teeth.

P = 15 kWn = 960 rpmN1 = 20m = 2 mm
Ft = N
5.Hard
d1​ = 150 mmd2​ = 450 mm1450 rpmC = 1000 mmT1​ = 2000 NT2​P = ?

An open belt connects a 150 mm driving pulley at 1450 rpm to a 450 mm pulley; the centres are 1000 mm apart. The coefficient of friction is 0.25 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 = 1450 rpmd2 = 450 mmC = 1000 mmμ = 0.25T1 = 2000 N
P = kW
6.Hard
d1​ = 160 mmd2​ = 315 mm1450 rpmC = 1200 mmT1​ = 800 NT2​P = ?

An open belt connects a 160 mm driving pulley at 1450 rpm to a 315 mm pulley; the centres are 1200 mm apart. The coefficient of friction is 0.3 and the tight-side tension may not exceed 800 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 160 mmn1 = 1450 rpmd2 = 315 mmC = 1200 mmμ = 0.3T1 = 800 N
P = kW

Answer key

  1. 1. n2 = 2700 rpm
  2. 2. n2 = 625 rpm
  3. 3. N1 = 30
  4. 4. Ft = 7460 N
  5. 5. P = 11.58 kW
  6. 6. P = 5.782 kW

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