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 960 rpm. The driven gear must turn at 1080 rpm. How many teeth N₂ must the driven gear have?

N₁ = 45n₁ = 960 rpmn₂ = 1080 rpm

N₂ =

2.Easy

A driving gear with 60 teeth turns at 600 rpm and meshes with a gear with 50 teeth. Find the speed n₂ of the driven gear.

N₁ = 60N₂ = 50n₁ = 600 rpm

n₂ = rpm

3.Medium

A 2.2 kW motor at 1450 rpm drives a worm with 2 start(s). The worm wheel has 60 teeth and the drive has an efficiency of 65%. Find the output torque T_w on the wheel shaft.

z = 2N_w = 60n = 1450 rpmP = 2.2 kWη = 65%

T_w = N·m

4.Medium

A 1.5 kW motor running at 1450 rpm drives a pinion with 18 teeth and a module of 2 mm. Find the tangential force F_t on the pinion teeth.

P = 1.5 kWn = 1450 rpmN₁ = 18m = 2 mm

F_t = N

5.Hard

A 7.5 kW motor at 1440 rpm drives gear A (12 teeth), which meshes with gear B (48 teeth). Gear C (12 teeth) on the same shaft as B drives gear D (18 teeth) on the output shaft. Each gear mesh has an efficiency of 97%. Find the output torque T_out.

P = 7.5 kWn_in = 1440 rpmA = 12B = 48C = 12D = 18η_mesh = 97%

T_out = N·m

6.Hard

In a compound gear train, gear A (50 teeth) on the input shaft turning at 3000 rpm drives gear B (80 teeth). Gear C (36 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 = 3000 rpmA = 50B = 80C = 36D = 60

n_out = rpm

Answer key

1. N₂ = 40
2. n₂ = 720 rpm
3. T_w = 282.5 N·m
4. F_t = 548.8 N
5. T_out = 280.8 N·m
6. n_out = 1125 rpm

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