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 40 teeth and a module of 5 mm turns at 960 rpm. Find the pitch-line velocity v of its teeth.

N = 40m = 5 mmn = 960 rpm

v = m/s

2.Easy

A pinion with 12 teeth is driven at 1500 rpm. The driven gear must turn at 225 rpm. How many teeth N₂ must the driven gear have?

N₁ = 12n₁ = 1500 rpmn₂ = 225 rpm

N₂ =

3.Medium

A 200 mm pulley at 2880 rpm drives a 250 mm pulley by a belt with 1 % slip. Find the speed n₂ of the driven pulley.

n₁ = 2880 rpmd₁ = 200 mmd₂ = 250 mms = 1 %

n₂ = rpm

4.Medium

A 0.55 kW motor at 2900 rpm drives a worm with 2 start(s). The worm wheel has 40 teeth and the drive has an efficiency of 80%. Find the output torque T_w on the wheel shaft.

z = 2N_w = 40n = 2900 rpmP = 0.55 kWη = 80%

T_w = N·m

5.Hard

In a compound gear train, gear A (24 teeth) on the input shaft turning at 2900 rpm drives gear B (45 teeth). Gear C (30 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 = 2900 rpmA = 24B = 45C = 30D = 48

n_out = rpm

6.Hard

In a compound gear train, gear A (36 teeth) on the input shaft turns at 960 rpm and drives gear B (72 teeth). Gear C (12 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 80 rpm. How many teeth N_D must gear D have?

n_in = 960 rpmA = 36B = 72C = 12n_out = 80 rpm

N_D =

Answer key

1. v = 10.05 m/s
2. N₂ = 80
3. n₂ = 2281 rpm
4. T_w = 28.98 N·m
5. n_out = 966.7 rpm
6. N_D = 72

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