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 60 teeth turns at 1800 rpm and meshes with a gear with 30 teeth. Find the speed n₂ of the driven gear.

N₁ = 60N₂ = 30n₁ = 1800 rpm

n₂ = rpm

2.Easy

A driving gear with 30 teeth turns at 600 rpm and meshes with a gear with 25 teeth. Find the speed n₂ of the driven gear.

N₁ = 30N₂ = 25n₁ = 600 rpm

n₂ = rpm

3.Medium

A 0.75 kW motor running at 1450 rpm drives a pinion with 48 teeth, which meshes with a gear with 72 teeth. The gear pair has an efficiency of 97%. Find the torque T₁ on the motor shaft.

P = 0.75 kWn₁ = 1450 rpmN₁ = 48N₂ = 72η = 97%

T₁ = N·m

4.Medium

A 200 mm pulley at 1500 rpm drives a 500 mm pulley by a belt with 4 % slip. Find the speed n₂ of the driven pulley.

n₁ = 1500 rpmd₁ = 200 mmd₂ = 500 mms = 4 %

n₂ = rpm

5.Hard

In a planetary gear set the sun gear has 24 teeth and each planet gear has 24 teeth. The planet carrier is held fixed and the sun is driven at 1440 rpm. Find the speed n_r of the ring gear (magnitude).

N_s = 24N_p = 24n_s = 1440 rpm

n_r = rpm

6.Hard

In a compound gear train, gear A (20 teeth) on the input shaft turning at 1500 rpm drives gear B (30 teeth). Gear C (12 teeth) is fixed to the same shaft as B and drives gear D (24 teeth) on the output shaft. Find the output speed n_out.

n_in = 1500 rpmA = 20B = 30C = 12D = 24

n_out = rpm

Answer key

1. n₂ = 3600 rpm
2. n₂ = 720 rpm
3. T₁ = 4.939 N·m
4. n₂ = 576 rpm
5. n_r = 480 rpm
6. n_out = 500 rpm

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