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 40 teeth turns at 1440 rpm and meshes with a gear with 80 teeth. Find the speed n₂ of the driven gear.

N₁ = 40N₂ = 80n₁ = 1440 rpm

n₂ = rpm

2.Easy

A pinion with 60 teeth is driven at 720 rpm. The driven gear must turn at 2700 rpm. How many teeth N₂ must the driven gear have?

N₁ = 60n₁ = 720 rpmn₂ = 2700 rpm

N₂ =

3.Medium

A belt runs on a 120 mm driving pulley at 720 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 = 120 mmn₁ = 720 rpmT₁ = 800 NT₂ = 320 N

P = kW

4.Medium

A 22 kW motor running at 1440 rpm drives a pinion with 16 teeth and a module of 5 mm. Find the tangential force F_t on the pinion teeth.

P = 22 kWn = 1440 rpmN₁ = 16m = 5 mm

F_t = N

5.Hard

In a compound gear train, gear A (30 teeth) on the input shaft turning at 960 rpm drives gear B (36 teeth). Gear C (32 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 = 960 rpmA = 30B = 36C = 32D = 48

n_out = rpm

6.Hard

In a planetary gear set the sun gear has 24 teeth and each planet gear has 15 teeth. The planet carrier is held fixed and the sun is driven at 3000 rpm. Find the speed n_r of the ring gear (magnitude).

N_s = 24N_p = 15n_s = 3000 rpm

n_r = rpm

Answer key

1. n₂ = 720 rpm
2. N₂ = 16
3. P = 2.171 kW
4. F_t = 3647 N
5. n_out = 533.3 rpm
6. n_r = 1333 rpm

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