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

A motor turning at 2880 rpm drives a 100 mm pulley. A belt connects it to a 250 mm pulley. Assuming no slip, find the speed n₂ of the driven pulley.

n₁ = 2880 rpmd₁ = 100 mmd₂ = 250 mm

n₂ = rpm

2.Easy

A motor turning at 2880 rpm drives a 160 mm pulley. A belt connects it to a 400 mm pulley. Assuming no slip, find the speed n₂ of the driven pulley.

n₁ = 2880 rpmd₁ = 160 mmd₂ = 400 mm

n₂ = rpm

3.Medium

A 200 mm pulley at 1440 rpm drives a 250 mm pulley by a belt with 2 % slip. Find the speed n₂ of the driven pulley.

n₁ = 1440 rpmd₁ = 200 mmd₂ = 250 mms = 2 %

n₂ = rpm

4.Medium

A 2.2 kW motor running at 1450 rpm drives a pinion with 12 teeth, which meshes with a gear with 80 teeth. The gear pair has an efficiency of 95%. Find the torque T₁ on the motor shaft.

P = 2.2 kWn₁ = 1450 rpmN₁ = 12N₂ = 80η = 95%

T₁ = N·m

5.Hard

An open belt connects a 200 mm pulley and a 450 mm pulley whose centres are 500 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 200 mmd₂ = 450 mmC = 500 mm

θ = °

6.Hard

In a compound gear train, gear A (12 teeth) on the input shaft turning at 1500 rpm drives gear B (32 teeth). Gear C (15 teeth) is fixed to the same shaft as B and drives gear D (48 teeth) on the output shaft. Find the output speed n_out.

n_in = 1500 rpmA = 12B = 32C = 15D = 48

n_out = rpm

Answer key

1. n₂ = 1152 rpm
2. n₂ = 1152 rpm
3. n₂ = 1129 rpm
4. T₁ = 14.49 N·m
5. θ = 151 °
6. n_out = 175.8 rpm

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