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​ = 200 mm2880 rpmn2​ = ?

A motor turning at 2880 rpm drives a 125 mm pulley. A belt connects it to a 200 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 2880 rpmd1 = 125 mmd2 = 200 mm
n2 = rpm
2.Easy
N1​ = 24N2​ = ?

A pinion with 24 teeth is driven at 1800 rpm. The driven gear must turn at 1728 rpm. How many teeth N2 must the driven gear have?

N1 = 24n1 = 1800 rpmn2 = 1728 rpm
N2 =
3.Medium
N1​ = 12N2​ = 60

A 7.5 kW motor running at 1500 rpm drives a pinion with 12 teeth, which meshes with a gear with 60 teeth. Ignore losses. Find the torque T1 on the motor shaft.

P = 7.5 kWn1 = 1500 rpmN1 = 12N2 = 60η = 100%
T1 = N·m
4.Medium
d1​ = 160 mmd2​ = 250 mm960 rpmn2​ = ?

A 160 mm pulley at 960 rpm drives a 250 mm pulley by a belt with 1.5 % slip. Find the speed n2 of the driven pulley.

n1 = 960 rpmd1 = 160 mmd2 = 250 mms = 1.5 %
n2 = rpm
5.Hard
d1​ = 160 mmd2​ = 400 mm1450 rpmC = 1200 mmT1​ = 1200 NT2​P = ?

An open belt connects a 160 mm driving pulley at 1450 rpm to a 400 mm pulley; the centres are 1200 mm apart. The coefficient of friction is 0.25 and the tight-side tension may not exceed 1200 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 160 mmn1 = 1450 rpmd2 = 400 mmC = 1200 mmμ = 0.25T1 = 1200 N
P = kW
6.Hard
d1​ = 160 mmd2​ = 400 mm960 rpmC = 600 mmθ = ?

An open belt connects a 160 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 = 160 mmd2 = 400 mmC = 600 mm
θ = °

Answer key

  1. 1. n2 = 1800 rpm
  2. 2. N2 = 25
  3. 3. T1 = 47.75 N·m
  4. 4. n2 = 605.2 rpm
  5. 5. P = 7.589 kW
  6. 6. θ = 156.9 °

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