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​ = 125 mmd2​ = 400 mm1440 rpmv = ?

A 125 mm pulley turns at 1440 rpm. Find the belt speed v in m/s.

d1 = 125 mmn1 = 1440 rpm
v = m/s
2.Easy
N1​ = 50N2​ = 25

A driving gear with 50 teeth turns at 2400 rpm and meshes with a gear with 25 teeth. Find the speed n2 of the driven gear.

N1 = 50N2 = 25n1 = 2400 rpm
n2 = rpm
3.Medium
Nw​ = 60z = 4, 2900 rpm

A worm with 4 start(s) turns at 2900 rpm and drives a worm wheel with 60 teeth. Find the speed nw of the wheel.

z = 4Nw = 60n = 2900 rpm
nw = rpm
4.Medium
N1​ = 15N2​ = 32

A 5.5 kW motor running at 2900 rpm drives a pinion with 15 teeth, which meshes with a gear with 32 teeth. The gear pair has an efficiency of 97%. Find the output torque T2 on the gear shaft.

P = 5.5 kWn1 = 2900 rpmN1 = 15N2 = 32η = 97%
T2 = N·m
5.Hard
d1​ = 160 mmd2​ = 200 mm1450 rpmC = 500 mmθ = ?

An open belt connects a 160 mm pulley and a 200 mm pulley whose centres are 500 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 160 mmd2 = 200 mmC = 500 mm
θ = °
6.Hard
A = 45B = 60C = 15D = 50

In a compound gear train, gear A (45 teeth) on the input shaft turning at 1450 rpm drives gear B (60 teeth). Gear C (15 teeth) is fixed to the same shaft as B and drives gear D (50 teeth) on the output shaft. Find the output speed nout.

nin = 1450 rpmA = 45B = 60C = 15D = 50
nout = rpm

Answer key

  1. 1. v = 9.425 m/s
  2. 2. n2 = 4800 rpm
  3. 3. nw = 193.3 rpm
  4. 4. T2 = 37.48 N·m
  5. 5. θ = 175.4 °
  6. 6. nout = 326.3 rpm

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