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​ = 24

A pinion with 15 teeth meshes with a gear with 24 teeth, module 6 mm. Find the pitch diameter d2 of the gear.

N1 = 15N2 = 24m = 6 mm
d2 = mm
2.Easy
N1​ = 80N2​ = 60

A driving gear with 80 teeth turns at 1800 rpm and meshes with a gear with 60 teeth. Find the speed n2 of the driven gear.

N1 = 80N2 = 60n1 = 1800 rpm
n2 = rpm
3.Medium
d1​ = 125 mmd2​ = 400 mm1450 rpmT1​ = 1200 NT2​ = 300 NP = ?

A belt runs on a 125 mm driving pulley at 1450 rpm. The tension is 1200 N on the tight side and 300 N on the slack side. Find the power P transmitted, in kW.

d1 = 125 mmn1 = 1450 rpmT1 = 1200 NT2 = 300 N
P = kW
4.Medium
N1​ = 15N2​ = 48

A 1.1 kW motor running at 960 rpm drives a pinion with 15 teeth, which meshes with a gear with 48 teeth. The gear pair has an efficiency of 96%. Find the output torque T2 on the gear shaft.

P = 1.1 kWn1 = 960 rpmN1 = 15N2 = 48η = 96%
T2 = N·m
5.Hard
Ns​ = 15ring fixedNp​ = 12nc​ = ?

In a planetary gear set the sun gear has 15 teeth and each planet gear has 12 teeth. The ring gear is held fixed and the sun is driven at 1200 rpm. Find the speed nc of the planet carrier.

Ns = 15Np = 12ns = 1200 rpm
nc = rpm
6.Hard
A = 18B = 36C = 36D = 40

In a compound gear train, gear A (18 teeth) on the input shaft turning at 960 rpm drives gear B (36 teeth). Gear C (36 teeth) is fixed to the same shaft as B and drives gear D (40 teeth) on the output shaft. Find the output speed nout.

nin = 960 rpmA = 18B = 36C = 36D = 40
nout = rpm

Answer key

  1. 1. d2 = 144 mm
  2. 2. n2 = 2400 rpm
  3. 3. P = 8.541 kW
  4. 4. T2 = 33.61 N·m
  5. 5. nc = 333.3 rpm
  6. 6. nout = 432 rpm

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