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​ = 500 mm960 rpmv = ?

A 160 mm pulley turns at 960 rpm. Find the belt speed v in m/s.

d1 = 160 mmn1 = 960 rpm
v = m/s
2.Easy
d1​ = 150 mmd2​ = 315 mm1500 rpmv = ?

A 150 mm pulley turns at 1500 rpm. Find the belt speed v in m/s.

d1 = 150 mmn1 = 1500 rpm
v = m/s
3.Medium
N1​ = 20, m = 2 mm

A 5.5 kW motor running at 960 rpm drives a pinion with 20 teeth and a module of 2 mm. Find the tangential force Ft on the pinion teeth.

P = 5.5 kWn = 960 rpmN1 = 20m = 2 mm
Ft = N
4.Medium
d1​ = 120 mmd2​ = 400 mm1450 rpmT1​ = 400 NT2​ = 160 NP = ?

A belt runs on a 120 mm driving pulley at 1450 rpm. The tension is 400 N on the tight side and 160 N on the slack side. Find the power P transmitted, in kW.

d1 = 120 mmn1 = 1450 rpmT1 = 400 NT2 = 160 N
P = kW
5.Hard
A = 15B = 36C = 18D = ?

In a compound gear train, gear A (15 teeth) on the input shaft turns at 2880 rpm and drives gear B (36 teeth). Gear C (18 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 480 rpm. How many teeth ND must gear D have?

nin = 2880 rpmA = 15B = 36C = 18nout = 480 rpm
ND =
6.Hard
A = 24B = 30C = 15D = 30

In a compound gear train, gear A (24 teeth) on the input shaft turning at 2900 rpm drives gear B (30 teeth). Gear C (15 teeth) is fixed to the same shaft as B and drives gear D (30 teeth) on the output shaft. Find the output speed nout.

nin = 2900 rpmA = 24B = 30C = 15D = 30
nout = rpm

Answer key

  1. 1. v = 8.042 m/s
  2. 2. v = 11.78 m/s
  3. 3. Ft = 2735 N
  4. 4. P = 2.187 kW
  5. 5. ND = 45
  6. 6. nout = 1160 rpm

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