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​ = 80N2​ = 30

A driving gear with 80 teeth turns at 1200 rpm and meshes with a gear with 30 teeth. Find the speed n2 of the driven gear.

N1 = 80N2 = 30n1 = 1200 rpm
n2 = rpm
2.Easy
N1​ = 24N2​ = 72

A driving gear with 24 teeth turns at 1440 rpm and meshes with a gear with 72 teeth. Find the speed n2 of the driven gear.

N1 = 24N2 = 72n1 = 1440 rpm
n2 = rpm
3.Medium
N1​ = 24, m = 2 mm

An 11 kW motor running at 1450 rpm drives a pinion with 24 teeth and a module of 2 mm. Find the tangential force Ft on the pinion teeth.

P = 11 kWn = 1450 rpmN1 = 24m = 2 mm
Ft = N
4.Medium
N1​ = 24N2​ = 48

A 5.5 kW motor running at 2900 rpm drives a pinion with 24 teeth, which meshes with a gear with 48 teeth. The gear pair has an efficiency of 98%. Find the torque T1 on the motor shaft.

P = 5.5 kWn1 = 2900 rpmN1 = 24N2 = 48η = 98%
T1 = N·m
5.Hard
A = 15B = 24C = 32D = 72

In a compound gear train, gear A (15 teeth) on the input shaft turning at 1500 rpm drives gear B (24 teeth). Gear C (32 teeth) is fixed to the same shaft as B and drives gear D (72 teeth) on the output shaft. Find the output speed nout.

nin = 1500 rpmA = 15B = 24C = 32D = 72
nout = rpm
6.Hard
d1​ = 150 mmd2​ = 315 mm1450 rpmC = 800 mmT1​ = 1500 NT2​P = ?

An open belt connects a 150 mm driving pulley at 1450 rpm to a 315 mm pulley; the centres are 800 mm apart. The coefficient of friction is 0.25 and the tight-side tension may not exceed 1500 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 150 mmn1 = 1450 rpmd2 = 315 mmC = 800 mmμ = 0.25T1 = 1500 N
P = kW

Answer key

  1. 1. n2 = 3200 rpm
  2. 2. n2 = 480 rpm
  3. 3. Ft = 3018 N
  4. 4. T1 = 18.11 N·m
  5. 5. nout = 416.7 rpm
  6. 6. P = 8.881 kW

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