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​ = 400 mm1440 rpmn2​ = ?

A motor turning at 1440 rpm drives a 100 mm pulley. A belt connects it to a 400 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 1440 rpmd1 = 100 mmd2 = 400 mm
n2 = rpm
2.Easy
N1​ = 18N2​ = 32

A driving gear with 18 teeth turns at 900 rpm and meshes with a gear with 32 teeth. Find the speed n2 of the driven gear.

N1 = 18N2 = 32n1 = 900 rpm
n2 = rpm
3.Medium
d1​ = 125 mmd2​ = 500 mm2880 rpmn2​ = ?

A 125 mm pulley at 2880 rpm drives a 500 mm pulley by a belt with 2 % slip. Find the speed n2 of the driven pulley.

n1 = 2880 rpmd1 = 125 mmd2 = 500 mms = 2 %
n2 = rpm
4.Medium
N1​ = 20N2​ = 45

A 1.5 kW motor running at 960 rpm drives a pinion with 20 teeth, which meshes with a gear with 45 teeth. The gear pair has an efficiency of 96%. Find the output torque T2 on the gear shaft.

P = 1.5 kWn1 = 960 rpmN1 = 20N2 = 45η = 96%
T2 = N·m
5.Hard
d1​ = 125 mmd2​ = 315 mm1450 rpmC = 500 mmθ = ?

An open belt connects a 125 mm pulley and a 315 mm pulley whose centres are 500 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d1 = 125 mmd2 = 315 mmC = 500 mm
θ = °
6.Hard
A = 36B = 48C = 18D = 30

A 7.5 kW motor at 1440 rpm drives gear A (36 teeth), which meshes with gear B (48 teeth). Gear C (18 teeth) on the same shaft as B drives gear D (30 teeth) on the output shaft. Each gear mesh has an efficiency of 95%. Find the output torque Tout.

P = 7.5 kWnin = 1440 rpmA = 36B = 48C = 18D = 30ηmesh = 95%
Tout = N·m

Answer key

  1. 1. n2 = 360 rpm
  2. 2. n2 = 506.3 rpm
  3. 3. n2 = 705.6 rpm
  4. 4. T2 = 32.23 N·m
  5. 5. θ = 158.1 °
  6. 6. Tout = 99.75 N·m

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