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 driving gear with 60 teeth turns at 3000 rpm and meshes with a gear with 16 teeth. Find the speed n₂ of the driven gear.

N₁ = 60N₂ = 16n₁ = 3000 rpm

n₂ = rpm

2.Easy

A 120 mm pulley turns at 960 rpm. Find the belt speed v in m/s.

d₁ = 120 mmn₁ = 960 rpm

v = m/s

3.Medium

A 200 mm pulley at 720 rpm drives a 500 mm pulley by a belt with 4 % slip. Find the speed n₂ of the driven pulley.

n₁ = 720 rpmd₁ = 200 mmd₂ = 500 mms = 4 %

n₂ = rpm

4.Medium

A 1.5 kW motor running at 1500 rpm drives a pinion with 25 teeth, which meshes with a gear with 72 teeth. The gear pair has an efficiency of 96%. Find the output torque T₂ on the gear shaft.

P = 1.5 kWn₁ = 1500 rpmN₁ = 25N₂ = 72η = 96%

T₂ = N·m

5.Hard

In a compound gear train, gear A (16 teeth) on the input shaft turning at 3000 rpm drives gear B (25 teeth). Gear C (18 teeth) is fixed to the same shaft as B and drives gear D (30 teeth) on the output shaft. Find the output speed n_out.

n_in = 3000 rpmA = 16B = 25C = 18D = 30

n_out = rpm

6.Hard

In a compound gear train, gear A (30 teeth) on the input shaft turning at 960 rpm drives gear B (72 teeth). Gear C (20 teeth) is fixed to the same shaft as B and drives gear D (45 teeth) on the output shaft. Find the output speed n_out.

n_in = 960 rpmA = 30B = 72C = 20D = 45

n_out = rpm

Answer key

1. n₂ = 11250 rpm
2. v = 6.032 m/s
3. n₂ = 276.5 rpm
4. T₂ = 26.4 N·m
5. n_out = 1152 rpm
6. n_out = 177.8 rpm

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