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 40 teeth turns at 1000 rpm and meshes with a gear with 45 teeth. Find the speed n₂ of the driven gear.

N₁ = 40N₂ = 45n₁ = 1000 rpm

n₂ = rpm

2.Easy

A pinion with 45 teeth meshes with a gear with 80 teeth. Both have a module of 5 mm. Find the centre distance a between the two shafts.

N₁ = 45N₂ = 80m = 5 mm

a = mm

3.Medium

A 125 mm pulley at 1500 rpm drives a 450 mm pulley by a belt with 1.5 % slip. Find the speed n₂ of the driven pulley.

n₁ = 1500 rpmd₁ = 125 mmd₂ = 450 mms = 1.5 %

n₂ = rpm

4.Medium

A 150 mm pulley at 720 rpm drives a 200 mm pulley by a belt with 4 % slip. Find the speed n₂ of the driven pulley.

n₁ = 720 rpmd₁ = 150 mmd₂ = 200 mms = 4 %

n₂ = rpm

5.Hard

In a compound gear train, gear A (32 teeth) on the input shaft turns at 1500 rpm and drives gear B (60 teeth). Gear C (25 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 625 rpm. How many teeth N_D must gear D have?

n_in = 1500 rpmA = 32B = 60C = 25n_out = 625 rpm

N_D =

6.Hard

An open belt connects a 125 mm pulley and a 450 mm pulley whose centres are 500 mm apart. Find the angle of wrap θ on the smaller pulley, in degrees.

d₁ = 125 mmd₂ = 450 mmC = 500 mm

θ = °

Answer key

1. n₂ = 888.9 rpm
2. a = 312.5 mm
3. n₂ = 410.4 rpm
4. n₂ = 518.4 rpm
5. N_D = 32
6. θ = 142.1 °

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