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 driving gear with 30 teeth turns at 1800 rpm and meshes with a gear with 18 teeth. Find the speed n₂ of the driven gear.

N₁ = 30N₂ = 18n₁ = 1800 rpm

n₂ = rpm

2.Easy

A motor turning at 960 rpm drives a 160 mm pulley. A belt connects it to a 315 mm pulley. Assuming no slip, find the speed n₂ of the driven pulley.

n₁ = 960 rpmd₁ = 160 mmd₂ = 315 mm

n₂ = rpm

3.Medium

A worm with 3 start(s) turns at 1450 rpm and drives a worm wheel with 72 teeth. Find the speed n_w of the wheel.

z = 3N_w = 72n = 1450 rpm

n_w = rpm

4.Medium

Two parallel shafts are 87.5 mm apart. They must be connected by a pair of spur gears with a module of 2.5 mm and a speed reduction of 2.5 : 1. How many teeth N₁ must the pinion have?

a = 87.5 mmm = 2.5 mmi = 2.5

N₁ =

5.Hard

In a compound gear train, gear A (12 teeth) on the input shaft turning at 960 rpm drives gear B (80 teeth). Gear C (45 teeth) is fixed to the same shaft as B and drives gear D (72 teeth) on the output shaft. Find the output speed n_out.

n_in = 960 rpmA = 12B = 80C = 45D = 72

n_out = rpm

6.Hard

An open belt connects a 100 mm pulley and a 250 mm pulley whose centres are 1000 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 100 mmd₂ = 250 mmC = 1000 mm

θ = °

Answer key

1. n₂ = 3000 rpm
2. n₂ = 487.6 rpm
3. n_w = 60.42 rpm
4. N₁ = 20
5. n_out = 90 rpm
6. θ = 171.4 °

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