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​ = 100 mmd2​ = 250 mm1440 rpmv = ?

A 100 mm pulley turns at 1440 rpm. Find the belt speed v in m/s.

d1 = 100 mmn1 = 1440 rpm
v = m/s
2.Easy
d1​ = 100 mmd2​ = 200 mm2880 rpmn2​ = ?

A motor turning at 2880 rpm drives a 100 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 = 100 mmd2 = 200 mm
n2 = rpm
3.Medium
N1​ = 20, m = 2 mm

A 1.5 kW motor running at 2900 rpm drives a pinion with 20 teeth and a module of 2 mm. Find the tangential force Ft on the pinion teeth.

P = 1.5 kWn = 2900 rpmN1 = 20m = 2 mm
Ft = N
4.Medium
N1​ = 50N2​ = 60

A 1.1 kW motor running at 960 rpm drives a pinion with 50 teeth, which meshes with a gear with 60 teeth. Ignore losses. Find the torque T1 on the motor shaft.

P = 1.1 kWn1 = 960 rpmN1 = 50N2 = 60η = 100%
T1 = N·m
5.Hard
d1​ = 80 mmd2​ = 500 mm1450 rpmC = 600 mmT1​ = 2000 NT2​P = ?

An open belt connects an 80 mm driving pulley at 1450 rpm to a 500 mm pulley; the centres are 600 mm apart. The coefficient of friction is 0.25 and the tight-side tension may not exceed 2000 N. Find the largest power P the belt can transmit without slipping, in kW (ignore centrifugal effects).

d1 = 80 mmn1 = 1450 rpmd2 = 500 mmC = 600 mmμ = 0.25T1 = 2000 N
P = kW
6.Hard
A = 20B = 48C = 48D = 72

In a compound gear train, gear A (20 teeth) on the input shaft turning at 1450 rpm drives gear B (48 teeth). Gear C (48 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 = 1450 rpmA = 20B = 48C = 48D = 72
nout = rpm

Answer key

  1. 1. v = 7.54 m/s
  2. 2. n2 = 1440 rpm
  3. 3. Ft = 247 N
  4. 4. T1 = 10.94 N·m
  5. 5. P = 5.525 kW
  6. 6. nout = 402.8 rpm

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