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 25 teeth and a module of 3 mm turns at 720 rpm. Find the pitch-line velocity v of its teeth.

N = 25m = 3 mmn = 720 rpm

v = m/s

2.Easy

A driving gear with 25 teeth turns at 1440 rpm and meshes with a gear with 40 teeth. Find the speed n₂ of the driven gear.

N₁ = 25N₂ = 40n₁ = 1440 rpm

n₂ = rpm

3.Medium

A 4 kW motor running at 2900 rpm drives a pinion with 25 teeth and a module of 2 mm. Find the tangential force F_t on the pinion teeth.

P = 4 kWn = 2900 rpmN₁ = 25m = 2 mm

F_t = N

4.Medium

A 160 mm pulley at 2880 rpm drives a 450 mm pulley by a belt with 4 % slip. Find the speed n₂ of the driven pulley.

n₁ = 2880 rpmd₁ = 160 mmd₂ = 450 mms = 4 %

n₂ = rpm

5.Hard

In a compound gear train, gear A (20 teeth) on the input shaft turns at 2880 rpm and drives gear B (50 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 480 rpm. How many teeth N_D must gear D have?

n_in = 2880 rpmA = 20B = 50C = 25n_out = 480 rpm

N_D =

6.Hard

In a planetary gear set the sun gear has 30 teeth and each planet gear has 20 teeth. The planet carrier is held fixed and the sun is driven at 1200 rpm. Find the speed n_r of the ring gear (magnitude).

N_s = 30N_p = 20n_s = 1200 rpm

n_r = rpm

Answer key

1. v = 2.827 m/s
2. n₂ = 900 rpm
3. F_t = 526.9 N
4. n₂ = 983 rpm
5. N_D = 60
6. n_r = 514.3 rpm

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