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 (80 teeth) turns at 1440 rpm and drives an idler gear B (12 teeth), which in turn drives gear C (72 teeth). All three gears are on separate shafts. Find the speed n_C of gear C.

N_A = 80N_B = 12N_C = 72n_A = 1440 rpm

n_C = rpm

2.Easy

A driving gear with 12 teeth turns at 1500 rpm and meshes with a gear with 50 teeth. Find the speed n₂ of the driven gear.

N₁ = 12N₂ = 50n₁ = 1500 rpm

n₂ = rpm

3.Medium

A belt runs on a 120 mm driving pulley at 960 rpm. The tension is 1200 N on the tight side and 360 N on the slack side. Find the power P transmitted, in kW.

d₁ = 120 mmn₁ = 960 rpmT₁ = 1200 NT₂ = 360 N

P = kW

4.Medium

A worm with 4 start(s) turns at 1450 rpm and drives a worm wheel with 48 teeth. Find the speed n_w of the wheel.

z = 4N_w = 48n = 1450 rpm

n_w = rpm

5.Hard

In a compound gear train, gear A (50 teeth) on the input shaft turning at 1500 rpm drives gear B (72 teeth). Gear C (12 teeth) is fixed to the same shaft as B and drives gear D (48 teeth) on the output shaft. Find the output speed n_out.

n_in = 1500 rpmA = 50B = 72C = 12D = 48

n_out = rpm

6.Hard

In a planetary gear set the sun gear has 16 teeth and each planet gear has 20 teeth. The ring gear is held fixed and the sun is driven at 3000 rpm. Find the speed n_c of the planet carrier.

N_s = 16N_p = 20n_s = 3000 rpm

n_c = rpm

Answer key

1. n_C = 1600 rpm
2. n₂ = 360 rpm
3. P = 5.067 kW
4. n_w = 120.8 rpm
5. n_out = 260.4 rpm
6. n_c = 666.7 rpm

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