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 motor turning at 2880 rpm drives a 100 mm pulley. A belt connects it to a 500 mm pulley. Assuming no slip, find the speed n₂ of the driven pulley.

n₁ = 2880 rpmd₁ = 100 mmd₂ = 500 mm

n₂ = rpm

2.Easy

A 160 mm pulley turns at 720 rpm. Find the belt speed v in m/s.

d₁ = 160 mmn₁ = 720 rpm

v = m/s

3.Medium

A worm with 4 start(s) turns at 2900 rpm and drives a worm wheel with 40 teeth. Find the speed n_w of the wheel.

z = 4N_w = 40n = 2900 rpm

n_w = rpm

4.Medium

A 1.1 kW motor running at 960 rpm drives a pinion with 16 teeth, which meshes with a gear with 72 teeth. The gear pair has an efficiency of 96%. Find the output torque T₂ on the gear shaft.

P = 1.1 kWn₁ = 960 rpmN₁ = 16N₂ = 72η = 96%

T₂ = N·m

5.Hard

In a compound gear train, gear A (12 teeth) on the input shaft turning at 1450 rpm drives gear B (20 teeth). Gear C (24 teeth) is fixed to the same shaft as B and drives gear D (50 teeth) on the output shaft. Find the output speed n_out.

n_in = 1450 rpmA = 12B = 20C = 24D = 50

n_out = rpm

6.Hard

In a compound gear train, gear A (12 teeth) on the input shaft turning at 960 rpm drives gear B (50 teeth). Gear C (48 teeth) is fixed to the same shaft as B and drives gear D (60 teeth) on the output shaft. Find the output speed n_out.

n_in = 960 rpmA = 12B = 50C = 48D = 60

n_out = rpm

Answer key

1. n₂ = 576 rpm
2. v = 6.032 m/s
3. n_w = 290 rpm
4. T₂ = 47.27 N·m
5. n_out = 417.6 rpm
6. n_out = 184.3 rpm

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