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​ = 315 mm960 rpmv = ?

A 100 mm pulley turns at 960 rpm. Find the belt speed v in m/s.

d1 = 100 mmn1 = 960 rpm
v = m/s
2.Easy
N1​ = 80N2​ = 12

A driving gear with 80 teeth turns at 1500 rpm and meshes with a gear with 12 teeth. Find the speed n2 of the driven gear.

N1 = 80N2 = 12n1 = 1500 rpm
n2 = rpm
3.Medium
N1​ = 12N2​ = 16

A 0.75 kW motor running at 1500 rpm drives a pinion with 12 teeth, which meshes with a gear with 16 teeth. The gear pair has an efficiency of 98%. Find the torque T1 on the motor shaft.

P = 0.75 kWn1 = 1500 rpmN1 = 12N2 = 16η = 98%
T1 = N·m
4.Medium
d1​ = 160 mmd2​ = 200 mm960 rpmT1​ = 1200 NT2​ = 300 NP = ?

A belt runs on a 160 mm driving pulley at 960 rpm. The tension is 1200 N on the tight side and 300 N on the slack side. Find the power P transmitted, in kW.

d1 = 160 mmn1 = 960 rpmT1 = 1200 NT2 = 300 N
P = kW
5.Hard
A = 15B = 20C = 15D = ?

In a compound gear train, gear A (15 teeth) on the input shaft turns at 1450 rpm and drives gear B (20 teeth). Gear C (15 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 362.5 rpm. How many teeth ND must gear D have?

nin = 1450 rpmA = 15B = 20C = 15nout = 362.5 rpm
ND =
6.Hard
A = 36B = 60C = 45D = 48

In a compound gear train, gear A (36 teeth) on the input shaft turning at 960 rpm drives gear B (60 teeth). Gear C (45 teeth) is fixed to the same shaft as B and drives gear D (48 teeth) on the output shaft. Find the output speed nout.

nin = 960 rpmA = 36B = 60C = 45D = 48
nout = rpm

Answer key

  1. 1. v = 5.027 m/s
  2. 2. n2 = 10000 rpm
  3. 3. T1 = 4.775 N·m
  4. 4. P = 7.238 kW
  5. 5. ND = 45
  6. 6. nout = 540 rpm

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