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​ = 32

A driving gear with 15 teeth turns at 1800 rpm and meshes with a gear with 32 teeth. Find the speed n2 of the driven gear.

N1 = 15N2 = 32n1 = 1800 rpm
n2 = rpm
2.Easy
N1​ = 32N2​ = 45

A driving gear with 32 teeth turns at 1200 rpm and meshes with a gear with 45 teeth. Find the speed n2 of the driven gear.

N1 = 32N2 = 45n1 = 1200 rpm
n2 = rpm
3.Medium
d1​ = 120 mmd2​ = 250 mm1440 rpmn2​ = ?

A 120 mm pulley at 1440 rpm drives a 250 mm pulley by a belt with 1.5 % slip. Find the speed n2 of the driven pulley.

n1 = 1440 rpmd1 = 120 mmd2 = 250 mms = 1.5 %
n2 = rpm
4.Medium
d1​ = 80 mmd2​ = 250 mm960 rpmT1​ = 800 NT2​ = 320 NP = ?

A belt runs on an 80 mm driving pulley at 960 rpm. The tension is 800 N on the tight side and 320 N on the slack side. Find the power P transmitted, in kW.

d1 = 80 mmn1 = 960 rpmT1 = 800 NT2 = 320 N
P = kW
5.Hard
Ns​ = 15nr​ = ?Np​ = 15carrier fixed

In a planetary gear set the sun gear has 15 teeth and each planet gear has 15 teeth. The planet carrier is held fixed and the sun is driven at 1200 rpm. Find the speed nr of the ring gear (magnitude).

Ns = 15Np = 15ns = 1200 rpm
nr = rpm
6.Hard
d1​ = 80 mmd2​ = 400 mm1450 rpmC = 600 mmθ = ?

An open belt connects an 80 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 = 80 mmd2 = 400 mmC = 600 mm
θ = °

Answer key

  1. 1. n2 = 843.8 rpm
  2. 2. n2 = 853.3 rpm
  3. 3. n2 = 680.8 rpm
  4. 4. P = 1.93 kW
  5. 5. nr = 400 rpm
  6. 6. θ = 149.1 °

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