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

Gear A (32 teeth) turns at 1500 rpm and drives an idler gear B (16 teeth), which in turn drives gear C (60 teeth). All three gears are on separate shafts. Find the speed n_C of gear C.

N_A = 32N_B = 16N_C = 60n_A = 1500 rpm

n_C = rpm

2.Easy

A gear with 30 teeth and a module of 1.5 mm turns at 1500 rpm. Find the pitch-line velocity v of its teeth.

N = 30m = 1.5 mmn = 1500 rpm

v = m/s

3.Medium

Two parallel shafts are 160 mm apart. They must be connected by a pair of spur gears with a module of 4 mm and a speed reduction of 3 : 1. How many teeth N₂ must the gear have?

a = 160 mmm = 4 mmi = 3

N₂ =

4.Medium

A belt runs on a 200 mm driving pulley at 1450 rpm. The tension is 1200 N on the tight side and 360 N on the slack side. Find the power P transmitted, in kW.

d₁ = 200 mmn₁ = 1450 rpmT₁ = 1200 NT₂ = 360 N

P = kW

5.Hard

An open belt connects a 125 mm pulley and a 400 mm pulley whose centres are 600 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 125 mmd₂ = 400 mmC = 600 mm

θ = °

6.Hard

In a compound gear train, gear A (18 teeth) on the input shaft turning at 960 rpm drives gear B (25 teeth). Gear C (40 teeth) is fixed to the same shaft as B and drives gear D (48 teeth) on the output shaft. Find the output speed n_out.

n_in = 960 rpmA = 18B = 25C = 40D = 48

n_out = rpm

Answer key

1. n_C = 800 rpm
2. v = 3.534 m/s
3. N₂ = 60
4. P = 12.75 kW
5. θ = 153.5 °
6. n_out = 576 rpm

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