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 24 teeth turns at 1440 rpm and meshes with a gear with 72 teeth. Find the speed n₂ of the driven gear.

N₁ = 24N₂ = 72n₁ = 1440 rpm

n₂ = rpm

2.Easy

A driving gear with 24 teeth turns at 1500 rpm and meshes with a gear with 20 teeth. Find the speed n₂ of the driven gear.

N₁ = 24N₂ = 20n₁ = 1500 rpm

n₂ = rpm

3.Medium

A belt runs on a 100 mm driving pulley at 1450 rpm. The tension is 1000 N on the tight side and 500 N on the slack side. Find the power P transmitted, in kW.

d₁ = 100 mmn₁ = 1450 rpmT₁ = 1000 NT₂ = 500 N

P = kW

4.Medium

A 120 mm pulley at 1440 rpm drives a 315 mm pulley by a belt with 1 % slip. Find the speed n₂ of the driven pulley.

n₁ = 1440 rpmd₁ = 120 mmd₂ = 315 mms = 1 %

n₂ = rpm

5.Hard

In a compound gear train, gear A (36 teeth) on the input shaft turning at 3000 rpm drives gear B (40 teeth). Gear C (36 teeth) is fixed to the same shaft as B and drives gear D (80 teeth) on the output shaft. Find the output speed n_out.

n_in = 3000 rpmA = 36B = 40C = 36D = 80

n_out = rpm

6.Hard

In a compound gear train, gear A (45 teeth) on the input shaft turning at 3000 rpm drives gear B (48 teeth). Gear C (30 teeth) is fixed to the same shaft as B and drives gear D (36 teeth) on the output shaft. Find the output speed n_out.

n_in = 3000 rpmA = 45B = 48C = 30D = 36

n_out = rpm

Answer key

1. n₂ = 480 rpm
2. n₂ = 1800 rpm
3. P = 3.796 kW
4. n₂ = 543.1 rpm
5. n_out = 1215 rpm
6. n_out = 2344 rpm

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