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

Gear A (32 teeth) turns at 600 rpm and drives an idler gear B (25 teeth), which in turn drives gear C (20 teeth). All three gears are on separate shafts. Find the speed n_C of gear C.

N_A = 32N_B = 25N_C = 20n_A = 600 rpm

n_C = rpm

2.Easy

A pinion with 45 teeth meshes with a gear with 80 teeth. Both have a module of 4 mm. Find the centre distance a between the two shafts.

N₁ = 45N₂ = 80m = 4 mm

a = mm

3.Medium

A belt runs on a 160 mm driving pulley at 2880 rpm. The tension is 800 N on the tight side and 320 N on the slack side. Find the power P transmitted, in kW.

d₁ = 160 mmn₁ = 2880 rpmT₁ = 800 NT₂ = 320 N

P = kW

4.Medium

A belt runs on a 200 mm driving pulley at 960 rpm. The tension is 400 N on the tight side and 100 N on the slack side. Find the power P transmitted, in kW.

d₁ = 200 mmn₁ = 960 rpmT₁ = 400 NT₂ = 100 N

P = kW

5.Hard

In a planetary gear set the sun gear has 16 teeth and each planet gear has 24 teeth. The ring gear is held fixed and the sun is driven at 1800 rpm. Find the speed n_c of the planet carrier.

N_s = 16N_p = 24n_s = 1800 rpm

n_c = rpm

6.Hard

An open belt connects a 150 mm pulley and a 315 mm pulley whose centres are 1200 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 150 mmd₂ = 315 mmC = 1200 mm

θ = °

Answer key

1. n_C = 960 rpm
2. a = 250 mm
3. P = 11.58 kW
4. P = 3.016 kW
5. n_c = 360 rpm
6. θ = 172.1 °

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