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 gear with 48 teeth and a module of 3 mm turns at 720 rpm. Find the pitch-line velocity v of its teeth.

N = 48m = 3 mmn = 720 rpm

v = m/s

2.Easy

A pinion with 18 teeth meshes with a gear with 60 teeth. Both have a module of 2 mm. Find the centre distance a between the two shafts.

N₁ = 18N₂ = 60m = 2 mm

a = mm

3.Medium

A belt runs on a 160 mm driving pulley at 1500 rpm. The tension is 500 N on the tight side and 150 N on the slack side. Find the power P transmitted, in kW.

d₁ = 160 mmn₁ = 1500 rpmT₁ = 500 NT₂ = 150 N

P = kW

4.Medium

A belt runs on a 160 mm driving pulley at 1440 rpm. The tension is 400 N on the tight side and 80 N on the slack side. Find the power P transmitted, in kW.

d₁ = 160 mmn₁ = 1440 rpmT₁ = 400 NT₂ = 80 N

P = kW

5.Hard

An open belt connects a 200 mm pulley and a 300 mm pulley whose centres are 800 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 200 mmd₂ = 300 mmC = 800 mm

θ = °

6.Hard

In a planetary gear set the sun gear has 12 teeth and each planet gear has 15 teeth. The planet carrier is held fixed and the sun is driven at 1500 rpm. Find the speed n_r of the ring gear (magnitude).

N_s = 12N_p = 15n_s = 1500 rpm

n_r = rpm

Answer key

1. v = 5.429 m/s
2. a = 78 mm
3. P = 4.398 kW
4. P = 3.86 kW
5. θ = 172.8 °
6. n_r = 428.6 rpm

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