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 gear with 15 teeth and a module of 1.5 mm turns at 500 rpm. Find the pitch-line velocity v of its teeth.

N = 15m = 1.5 mmn = 500 rpm

v = m/s

2.Easy

A driving gear with 50 teeth turns at 900 rpm and meshes with a gear with 24 teeth. Find the speed n₂ of the driven gear.

N₁ = 50N₂ = 24n₁ = 900 rpm

n₂ = rpm

3.Medium

A 1.1 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 98%. Find the torque T₁ on the motor shaft.

P = 1.1 kWn₁ = 2900 rpmN₁ = 45N₂ = 80η = 98%

T₁ = N·m

4.Medium

A 4 kW motor running at 1440 rpm drives a pinion with 40 teeth, which meshes with a gear with 48 teeth. Ignore losses. Find the output torque T₂ on the gear shaft.

P = 4 kWn₁ = 1440 rpmN₁ = 40N₂ = 48η = 100%

T₂ = N·m

5.Hard

In a compound gear train, gear A (30 teeth) on the input shaft turning at 1440 rpm drives gear B (36 teeth). Gear C (18 teeth) is fixed to the same shaft as B and drives gear D (45 teeth) on the output shaft. Find the output speed n_out.

n_in = 1440 rpmA = 30B = 36C = 18D = 45

n_out = rpm

6.Hard

In a compound gear train, gear A (48 teeth) on the input shaft turning at 2900 rpm drives gear B (60 teeth). Gear C (32 teeth) is fixed to the same shaft as B and drives gear D (40 teeth) on the output shaft. Find the output speed n_out.

n_in = 2900 rpmA = 48B = 60C = 32D = 40

n_out = rpm

Answer key

1. v = 0.589 m/s
2. n₂ = 1875 rpm
3. T₁ = 3.622 N·m
4. T₂ = 31.83 N·m
5. n_out = 480 rpm
6. n_out = 1856 rpm

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