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 25 teeth meshes with a gear with 50 teeth, module 6 mm. Find the pitch diameter d₂ of the gear.

N₁ = 25N₂ = 50m = 6 mm

d₂ = mm

2.Easy

A 120 mm pulley turns at 1440 rpm. Find the belt speed v in m/s.

d₁ = 120 mmn₁ = 1440 rpm

v = m/s

3.Medium

A 1.1 kW motor running at 1500 rpm drives a pinion with 12 teeth, which meshes with a gear with 40 teeth. The gear pair has an efficiency of 96%. Find the torque T₁ on the motor shaft.

P = 1.1 kWn₁ = 1500 rpmN₁ = 12N₂ = 40η = 96%

T₁ = N·m

4.Medium

Two parallel shafts are 200 mm apart. They must be connected by a pair of spur gears with a module of 5 mm and a speed reduction of 3 : 1. How many teeth N₂ must the gear have?

a = 200 mmm = 5 mmi = 3

N₂ =

5.Hard

An open belt connects a 125 mm pulley and a 315 mm pulley whose centres are 1000 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 125 mmd₂ = 315 mmC = 1000 mm

θ = °

6.Hard

In a compound gear train, gear A (20 teeth) on the input shaft turns at 1440 rpm and drives gear B (72 teeth). Gear C (24 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 320 rpm. How many teeth N_D must gear D have?

n_in = 1440 rpmA = 20B = 72C = 24n_out = 320 rpm

N_D =

Answer key

1. d₂ = 300 mm
2. v = 9.048 m/s
3. T₁ = 7.003 N·m
4. N₂ = 60
5. θ = 169.1 °
6. N_D = 30

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