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.

New worksheet Practise online with hints

For teachers: free to print, copy and use in class. Every new worksheet has new values and its own answer key. A link to ExamProblems on your course page is appreciated.

Name: ____________________ Date: ____________

1.Easy

Gear A (80 teeth) turns at 1000 rpm and drives an idler gear B (32 teeth), which in turn drives gear C (50 teeth). All three gears are on separate shafts. Find the speed n_C of gear C.

N_A = 80N_B = 32N_C = 50n_A = 1000 rpm

n_C = rpm

2.Easy

A driving gear with 20 teeth turns at 900 rpm and meshes with a gear with 72 teeth. Find the speed n₂ of the driven gear.

N₁ = 20N₂ = 72n₁ = 900 rpm

n₂ = rpm

3.Medium

An 80 mm pulley at 2880 rpm drives a 400 mm pulley by a belt with 3 % slip. Find the speed n₂ of the driven pulley.

n₁ = 2880 rpmd₁ = 80 mmd₂ = 400 mms = 3 %

n₂ = rpm

4.Medium

Two parallel shafts are 150 mm apart. They must be connected by a pair of spur gears with a module of 2.5 mm and a speed reduction of 3 : 1. How many teeth N₁ must the pinion have?

a = 150 mmm = 2.5 mmi = 3

N₁ =

5.Hard

In a compound gear train, gear A (32 teeth) on the input shaft turns at 1440 rpm and drives gear B (80 teeth). Gear C (15 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 120 rpm. How many teeth N_D must gear D have?

n_in = 1440 rpmA = 32B = 80C = 15n_out = 120 rpm

N_D =

6.Hard

In a planetary gear set the sun gear has 12 teeth and each planet gear has 12 teeth. The ring gear is held fixed and the sun is driven at 1800 rpm. Find the speed n_c of the planet carrier.

N_s = 12N_p = 12n_s = 1800 rpm

n_c = rpm

Answer key

1. n_C = 1600 rpm
2. n₂ = 250 rpm
3. n₂ = 558.7 rpm
4. N₁ = 30
5. N_D = 72
6. n_c = 450 rpm

Full step-by-step solutions: practise this topic on examproblems.com.