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 24 teeth is driven at 2400 rpm. The driven gear must turn at 1920 rpm. How many teeth N₂ must the driven gear have?

N₁ = 24n₁ = 2400 rpmn₂ = 1920 rpm

N₂ =

2.Easy

A driving gear with 30 teeth turns at 720 rpm and meshes with a gear with 80 teeth. Find the speed n₂ of the driven gear.

N₁ = 30N₂ = 80n₁ = 720 rpm

n₂ = rpm

3.Medium

A 2.2 kW motor running at 2900 rpm drives a pinion with 45 teeth, which meshes with a gear with 80 teeth. The gear pair has an efficiency of 96%. Find the output torque T₂ on the gear shaft.

P = 2.2 kWn₁ = 2900 rpmN₁ = 45N₂ = 80η = 96%

T₂ = N·m

4.Medium

A 7.5 kW motor running at 2900 rpm drives a pinion with 15 teeth, which meshes with a gear with 80 teeth. The gear pair has an efficiency of 98%. Find the torque T₁ on the motor shaft.

P = 7.5 kWn₁ = 2900 rpmN₁ = 15N₂ = 80η = 98%

T₁ = N·m

5.Hard

An open belt connects a 150 mm pulley and a 200 mm pulley whose centres are 600 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 150 mmd₂ = 200 mmC = 600 mm

θ = °

6.Hard

In a planetary gear set the sun gear has 15 teeth and each planet gear has 15 teeth. The ring gear is held fixed and the sun is driven at 1200 rpm. Find the speed n_c of the planet carrier.

N_s = 15N_p = 15n_s = 1200 rpm

n_c = rpm

Answer key

1. N₂ = 30
2. n₂ = 270 rpm
3. T₂ = 12.36 N·m
4. T₁ = 24.7 N·m
5. θ = 175.2 °
6. n_c = 300 rpm

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