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 1500 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 = 1500 rpmd₁ = 100 mmd₂ = 250 mm

n₂ = rpm

2.Easy

A motor turning at 960 rpm drives a 100 mm pulley. A belt connects it to a 300 mm pulley. Assuming no slip, find the speed n₂ of the driven pulley.

n₁ = 960 rpmd₁ = 100 mmd₂ = 300 mm

n₂ = rpm

3.Medium

A 160 mm pulley at 1450 rpm drives a 500 mm pulley by a belt with 2 % slip. Find the speed n₂ of the driven pulley.

n₁ = 1450 rpmd₁ = 160 mmd₂ = 500 mms = 2 %

n₂ = rpm

4.Medium

A worm with 2 start(s) turns at 960 rpm and drives a worm wheel with 48 teeth. Find the speed n_w of the wheel.

z = 2N_w = 48n = 960 rpm

n_w = rpm

5.Hard

An open belt connects a 120 mm pulley and a 400 mm pulley whose centres are 800 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 120 mmd₂ = 400 mmC = 800 mm

θ = °

6.Hard

In a planetary gear set the sun gear has 16 teeth and each planet gear has 24 teeth. The planet carrier is held fixed and the sun is driven at 900 rpm. Find the speed n_r of the ring gear (magnitude).

N_s = 16N_p = 24n_s = 900 rpm

n_r = rpm

Answer key

1. n₂ = 600 rpm
2. n₂ = 320 rpm
3. n₂ = 454.7 rpm
4. n_w = 40 rpm
5. θ = 159.8 °
6. n_r = 225 rpm

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