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 16 teeth turns at 1200 rpm and meshes with a gear with 30 teeth. Find the speed n₂ of the driven gear.

N₁ = 16N₂ = 30n₁ = 1200 rpm

n₂ = rpm

2.Easy

A driving gear with 12 teeth turns at 600 rpm and meshes with a gear with 20 teeth. Find the speed n₂ of the driven gear.

N₁ = 12N₂ = 20n₁ = 600 rpm

n₂ = rpm

3.Medium

A belt runs on a 120 mm driving pulley at 2880 rpm. The tension is 400 N on the tight side and 120 N on the slack side. Find the power P transmitted, in kW.

d₁ = 120 mmn₁ = 2880 rpmT₁ = 400 NT₂ = 120 N

P = kW

4.Medium

Two parallel shafts are 192 mm apart. They must be connected by a pair of spur gears with a module of 4 mm and a speed reduction of 5 : 1. How many teeth N₂ must the gear have?

a = 192 mmm = 4 mmi = 5

N₂ =

5.Hard

A 4 kW motor at 1450 rpm drives gear A (12 teeth), which meshes with gear B (30 teeth). Gear C (16 teeth) on the same shaft as B drives gear D (72 teeth) on the output shaft. Each gear mesh has an efficiency of 98%. Find the output torque T_out.

P = 4 kWn_in = 1450 rpmA = 12B = 30C = 16D = 72η_mesh = 98%

T_out = N·m

6.Hard

In a planetary gear set the sun gear has 16 teeth and each planet gear has 30 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 = 30n_s = 1800 rpm

n_c = rpm

Answer key

1. n₂ = 640 rpm
2. n₂ = 360 rpm
3. P = 5.067 kW
4. N₂ = 80
5. T_out = 284.6 N·m
6. n_c = 313 rpm

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