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
d1​ = 160 mmd2​ = 450 mm1500 rpmv = ?

A 160 mm pulley turns at 1500 rpm. Find the belt speed v in m/s.

d1 = 160 mmn1 = 1500 rpm
v = m/s
2.Easy
d1​ = 80 mmd2​ = 200 mm1450 rpmn2​ = ?

A motor turning at 1450 rpm drives an 80 mm pulley. A belt connects it to a 200 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 1450 rpmd1 = 80 mmd2 = 200 mm
n2 = rpm
3.Medium
d1​ = 100 mmd2​ = 200 mm960 rpmn2​ = ?

A 100 mm pulley at 960 rpm drives a 200 mm pulley by a belt with 3 % slip. Find the speed n2 of the driven pulley.

n1 = 960 rpmd1 = 100 mmd2 = 200 mms = 3 %
n2 = rpm
4.Medium
N1​ = 16N2​ = 24

A 3 kW motor running at 1500 rpm drives a pinion with 16 teeth, which meshes with a gear with 24 teeth. The gear pair has an efficiency of 97%. Find the torque T1 on the motor shaft.

P = 3 kWn1 = 1500 rpmN1 = 16N2 = 24η = 97%
T1 = N·m
5.Hard
Ns​ = 30ring fixedNp​ = 15nc​ = ?

In a planetary gear set the sun gear has 30 teeth and each planet gear has 15 teeth. The ring gear is held fixed and the sun is driven at 1800 rpm. Find the speed nc of the planet carrier.

Ns = 30Np = 15ns = 1800 rpm
nc = rpm
6.Hard
d1​ = 150 mmd2​ = 300 mm1440 rpmC = 1200 mmθ = ?

An open belt connects a 150 mm pulley and a 300 mm pulley whose centres are 1200 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 150 mmd2 = 300 mmC = 1200 mm
θ = °

Answer key

  1. 1. v = 12.57 m/s
  2. 2. n2 = 580 rpm
  3. 3. n2 = 465.6 rpm
  4. 4. T1 = 19.1 N·m
  5. 5. nc = 600 rpm
  6. 6. θ = 172.8 °

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