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

An 80 mm pulley turns at 720 rpm. Find the belt speed v in m/s.

d₁ = 80 mmn₁ = 720 rpm

v = m/s

2.Easy

A motor turning at 960 rpm drives an 80 mm pulley. A belt connects it to a 300 mm pulley. Assuming no slip, find the speed n₂ of the driven pulley.

n₁ = 960 rpmd₁ = 80 mmd₂ = 300 mm

n₂ = rpm

3.Medium

Two parallel shafts are 150 mm apart. They must be connected by a pair of spur gears with a module of 4 mm and a speed reduction of 1.5 : 1. How many teeth N₂ must the gear have?

a = 150 mmm = 4 mmi = 1.5

N₂ =

4.Medium

A 2.2 kW motor running at 960 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 torque T₁ on the motor shaft.

P = 2.2 kWn₁ = 960 rpmN₁ = 20N₂ = 30η = 95%

T₁ = N·m

5.Hard

In a compound gear train, gear A (24 teeth) on the input shaft turning at 1440 rpm drives gear B (25 teeth). Gear C (12 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 = 1440 rpmA = 24B = 25C = 12D = 45

n_out = rpm

6.Hard

In a compound gear train, gear A (24 teeth) on the input shaft turning at 1500 rpm drives gear B (48 teeth). Gear C (45 teeth) is fixed to the same shaft as B and drives gear D (60 teeth) on the output shaft. Find the output speed n_out.

n_in = 1500 rpmA = 24B = 48C = 45D = 60

n_out = rpm

Answer key

1. v = 3.016 m/s
2. n₂ = 256 rpm
3. N₂ = 45
4. T₁ = 21.88 N·m
5. n_out = 368.6 rpm
6. n_out = 562.5 rpm

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