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​ = 125 mmd2​ = 450 mm1500 rpmv = ?

A 125 mm pulley turns at 1500 rpm. Find the belt speed v in m/s.

d1 = 125 mmn1 = 1500 rpm
v = m/s
2.Easy
d1​ = 120 mmd2​ = 200 mm1440 rpmn2​ = ?

A motor turning at 1440 rpm drives a 120 mm pulley. A belt connects it to a 200 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 1440 rpmd1 = 120 mmd2 = 200 mm
n2 = rpm
3.Medium
N1​ = 15N2​ = 32

A 1.1 kW motor running at 1450 rpm drives a pinion with 15 teeth, which meshes with a gear with 32 teeth. The gear pair has an efficiency of 96%. Find the torque T1 on the motor shaft.

P = 1.1 kWn1 = 1450 rpmN1 = 15N2 = 32η = 96%
T1 = N·m
4.Medium
d1​ = 160 mmd2​ = 450 mm2880 rpmT1​ = 1000 NT2​ = 500 NP = ?

A belt runs on a 160 mm driving pulley at 2880 rpm. The tension is 1000 N on the tight side and 500 N on the slack side. Find the power P transmitted, in kW.

d1 = 160 mmn1 = 2880 rpmT1 = 1000 NT2 = 500 N
P = kW
5.Hard
A = 30B = 48C = 12D = 25

A 5.5 kW motor at 1450 rpm drives gear A (30 teeth), which meshes with gear B (48 teeth). Gear C (12 teeth) on the same shaft as B drives gear D (25 teeth) on the output shaft. Each gear mesh has an efficiency of 96%. Find the output torque Tout.

P = 5.5 kWnin = 1450 rpmA = 30B = 48C = 12D = 25ηmesh = 96%
Tout = N·m
6.Hard
A = 30B = 50C = 12D = 15

A 15 kW motor at 960 rpm drives gear A (30 teeth), which meshes with gear B (50 teeth). Gear C (12 teeth) on the same shaft as B drives gear D (15 teeth) on the output shaft. Each gear mesh has an efficiency of 98%. Find the output torque Tout.

P = 15 kWnin = 960 rpmA = 30B = 50C = 12D = 15ηmesh = 98%
Tout = N·m

Answer key

  1. 1. v = 9.817 m/s
  2. 2. n2 = 864 rpm
  3. 3. T1 = 7.244 N·m
  4. 4. P = 12.06 kW
  5. 5. Tout = 111.3 N·m
  6. 6. Tout = 298.5 N·m

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