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

A pinion with 45 teeth is driven at 2880 rpm. The driven gear must turn at 7200 rpm. How many teeth N₂ must the driven gear have?

N₁ = 45n₁ = 2880 rpmn₂ = 7200 rpm

N₂ =

2.Easy

A 100 mm pulley turns at 720 rpm. Find the belt speed v in m/s.

d₁ = 100 mmn₁ = 720 rpm

v = m/s

3.Medium

A worm with 3 start(s) turns at 960 rpm and drives a worm wheel with 72 teeth. Find the speed n_w of the wheel.

z = 3N_w = 72n = 960 rpm

n_w = rpm

4.Medium

A 4 kW motor running at 1440 rpm drives a pinion with 20 teeth, which meshes with a gear with 30 teeth. The gear pair has an efficiency of 95%. Find the output torque T₂ on the gear shaft.

P = 4 kWn₁ = 1440 rpmN₁ = 20N₂ = 30η = 95%

T₂ = N·m

5.Hard

In a compound gear train, gear A (48 teeth) on the input shaft turns at 3000 rpm and drives gear B (80 teeth). Gear C (16 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 1600 rpm. How many teeth N_D must gear D have?

n_in = 3000 rpmA = 48B = 80C = 16n_out = 1600 rpm

N_D =

6.Hard

In a compound gear train, gear A (25 teeth) on the input shaft turning at 1450 rpm drives gear B (80 teeth). Gear C (18 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 = 1450 rpmA = 25B = 80C = 18D = 72

n_out = rpm

Answer key

1. N₂ = 18
2. v = 3.77 m/s
3. n_w = 40 rpm
4. T₂ = 37.8 N·m
5. N_D = 18
6. n_out = 113.3 rpm

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