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 gear with 18 teeth and a module of 3 mm turns at 1440 rpm. Find the pitch-line velocity v of its teeth.

N = 18m = 3 mmn = 1440 rpm

v = m/s

2.Easy

A motor turning at 960 rpm drives a 200 mm pulley. A belt connects it to a 450 mm pulley. Assuming no slip, find the speed n₂ of the driven pulley.

n₁ = 960 rpmd₁ = 200 mmd₂ = 450 mm

n₂ = rpm

3.Medium

A 125 mm pulley at 1440 rpm drives a 250 mm pulley by a belt with 1 % slip. Find the speed n₂ of the driven pulley.

n₁ = 1440 rpmd₁ = 125 mmd₂ = 250 mms = 1 %

n₂ = rpm

4.Medium

A belt runs on a 150 mm driving pulley at 1450 rpm. The tension is 600 N on the tight side and 240 N on the slack side. Find the power P transmitted, in kW.

d₁ = 150 mmn₁ = 1450 rpmT₁ = 600 NT₂ = 240 N

P = kW

5.Hard

In a planetary gear set the sun gear has 30 teeth and each planet gear has 12 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 = 30N_p = 12n_s = 3000 rpm

n_r = rpm

6.Hard

In a compound gear train, gear A (20 teeth) on the input shaft turning at 960 rpm drives gear B (72 teeth). Gear C (24 teeth) is fixed to the same shaft as B and drives gear D (45 teeth) on the output shaft. Find the output speed n_out.

n_in = 960 rpmA = 20B = 72C = 24D = 45

n_out = rpm

Answer key

1. v = 4.072 m/s
2. n₂ = 426.7 rpm
3. n₂ = 712.8 rpm
4. P = 4.1 kW
5. n_r = 1667 rpm
6. n_out = 142.2 rpm

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