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​ = 20N2​ = 15

A driving gear with 20 teeth turns at 720 rpm and meshes with a gear with 15 teeth. Find the speed n2 of the driven gear.

N1 = 20N2 = 15n1 = 720 rpm
n2 = rpm
2.Easy
N1​ = 12N2​ = ?

A pinion with 12 teeth is driven at 600 rpm. The driven gear must turn at 240 rpm. How many teeth N2 must the driven gear have?

N1 = 12n1 = 600 rpmn2 = 240 rpm
N2 =
3.Medium
N1​ = 16N2​ = 48

A 15 kW motor running at 2900 rpm drives a pinion with 16 teeth, which meshes with a gear with 48 teeth. The gear pair has an efficiency of 97%. Find the torque T1 on the motor shaft.

P = 15 kWn1 = 2900 rpmN1 = 16N2 = 48η = 97%
T1 = N·m
4.Medium
N1​ = 32N2​ = 60

An 11 kW motor running at 1450 rpm drives a pinion with 32 teeth, which meshes with a gear with 60 teeth. The gear pair has an efficiency of 95%. Find the output torque T2 on the gear shaft.

P = 11 kWn1 = 1450 rpmN1 = 32N2 = 60η = 95%
T2 = N·m
5.Hard
A = 20B = 30C = 32D = 45

In a compound gear train, gear A (20 teeth) on the input shaft turning at 2900 rpm drives gear B (30 teeth). Gear C (32 teeth) is fixed to the same shaft as B and drives gear D (45 teeth) on the output shaft. Find the output speed nout.

nin = 2900 rpmA = 20B = 30C = 32D = 45
nout = rpm
6.Hard
A = 24B = 72C = 40D = 72

In a compound gear train, gear A (24 teeth) on the input shaft turning at 3000 rpm drives gear B (72 teeth). Gear C (40 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 = 3000 rpmA = 24B = 72C = 40D = 72
nout = rpm

Answer key

  1. 1. n2 = 960 rpm
  2. 2. N2 = 30
  3. 3. T1 = 49.39 N·m
  4. 4. T2 = 129 N·m
  5. 5. nout = 1375 rpm
  6. 6. nout = 555.6 rpm

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