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 pinion with 15 teeth meshes with a gear with 60 teeth, module 6 mm. Find the pitch diameter d₂ of the gear.

N₁ = 15N₂ = 60m = 6 mm

d₂ = mm

2.Easy

A driving gear with 12 teeth turns at 720 rpm and meshes with a gear with 72 teeth. Find the speed n₂ of the driven gear.

N₁ = 12N₂ = 72n₁ = 720 rpm

n₂ = rpm

3.Medium

A worm with 1 start(s) turns at 1450 rpm and drives a worm wheel with 48 teeth. Find the speed n_w of the wheel.

z = 1N_w = 48n = 1450 rpm

n_w = rpm

4.Medium

A 2.2 kW motor running at 2900 rpm drives a pinion with 15 teeth, which meshes with a gear with 40 teeth. The gear pair has an efficiency of 97%. Find the output torque T₂ on the gear shaft.

P = 2.2 kWn₁ = 2900 rpmN₁ = 15N₂ = 40η = 97%

T₂ = N·m

5.Hard

In a planetary gear set the sun gear has 24 teeth and each planet gear has 30 teeth. The ring gear is held fixed and the sun is driven at 1500 rpm. Find the speed n_c of the planet carrier.

N_s = 24N_p = 30n_s = 1500 rpm

n_c = rpm

6.Hard

In a compound gear train, gear A (45 teeth) on the input shaft turning at 2900 rpm drives gear B (72 teeth). Gear C (15 teeth) is fixed to the same shaft as B and drives gear D (60 teeth) on the output shaft. Find the output speed n_out.

n_in = 2900 rpmA = 45B = 72C = 15D = 60

n_out = rpm

Answer key

1. d₂ = 360 mm
2. n₂ = 120 rpm
3. n_w = 30.21 rpm
4. T₂ = 18.74 N·m
5. n_c = 333.3 rpm
6. n_out = 453.1 rpm

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