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 24 teeth is driven at 600 rpm. The driven gear must turn at 480 rpm. How many teeth N₂ must the driven gear have?

N₁ = 24n₁ = 600 rpmn₂ = 480 rpm

N₂ =

2.Easy

A driving gear with 40 teeth turns at 2400 rpm and meshes with a gear with 60 teeth. Find the speed n₂ of the driven gear.

N₁ = 40N₂ = 60n₁ = 2400 rpm

n₂ = rpm

3.Medium

Two parallel shafts are 240 mm apart. They must be connected by a pair of spur gears with a module of 4 mm and a speed reduction of 5 : 1. How many teeth N₁ must the pinion have?

a = 240 mmm = 4 mmi = 5

N₁ =

4.Medium

A 2.2 kW motor at 1440 rpm drives a worm with 4 start(s). The worm wheel has 50 teeth and the drive has an efficiency of 85%. Find the output torque T_w on the wheel shaft.

z = 4N_w = 50n = 1440 rpmP = 2.2 kWη = 85%

T_w = N·m

5.Hard

In a planetary gear set the sun gear has 30 teeth and each planet gear has 12 teeth. The planet carrier is held fixed and the sun is driven at 3000 rpm. Find the speed n_r of the ring gear (magnitude).

N_s = 30N_p = 12n_s = 3000 rpm

n_r = rpm

6.Hard

In a compound gear train, gear A (40 teeth) on the input shaft turning at 2900 rpm drives gear B (50 teeth). Gear C (50 teeth) is fixed to the same shaft as B and drives gear D (72 teeth) on the output shaft. Find the output speed n_out.

n_in = 2900 rpmA = 40B = 50C = 50D = 72

n_out = rpm

Answer key

1. N₂ = 30
2. n₂ = 1600 rpm
3. N₁ = 20
4. T_w = 155 N·m
5. n_r = 1667 rpm
6. n_out = 1611 rpm

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