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.

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1.Easy
d1​ = 100 mmd2​ = 300 mm2880 rpmv = ?

A 100 mm pulley turns at 2880 rpm. Find the belt speed v in m/s.

d1 = 100 mmn1 = 2880 rpm
v = m/s
2.Easy
d1​ = 125 mmd2​ = 300 mm1450 rpmn2​ = ?

A motor turning at 1450 rpm drives a 125 mm pulley. A belt connects it to a 300 mm pulley. Assuming no slip, find the speed n2 of the driven pulley.

n1 = 1450 rpmd1 = 125 mmd2 = 300 mm
n2 = rpm
3.Medium
N1​ = 15N2​ = 30

A 7.5 kW motor running at 1500 rpm drives a pinion with 15 teeth, which meshes with a gear with 30 teeth. The gear pair has an efficiency of 97%. Find the output torque T2 on the gear shaft.

P = 7.5 kWn1 = 1500 rpmN1 = 15N2 = 30η = 97%
T2 = N·m
4.Medium
d1​ = 80 mmd2​ = 450 mm2880 rpmT1​ = 600 NT2​ = 120 NP = ?

A belt runs on an 80 mm driving pulley at 2880 rpm. The tension is 600 N on the tight side and 120 N on the slack side. Find the power P transmitted, in kW.

d1 = 80 mmn1 = 2880 rpmT1 = 600 NT2 = 120 N
P = kW
5.Hard
A = 48B = 80C = 16D = ?

In a compound gear train, gear A (48 teeth) on the input shaft turns at 1500 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 288 rpm. How many teeth ND must gear D have?

nin = 1500 rpmA = 48B = 80C = 16nout = 288 rpm
ND =
6.Hard
A = 25B = 36C = 18D = ?

In a compound gear train, gear A (25 teeth) on the input shaft turns at 1500 rpm and drives gear B (36 teeth). Gear C (18 teeth) is fixed to the same shaft as B and drives gear D on the output shaft. The output must turn at 937.5 rpm. How many teeth ND must gear D have?

nin = 1500 rpmA = 25B = 36C = 18nout = 937.5 rpm
ND =

Answer key

  1. 1. v = 15.08 m/s
  2. 2. n2 = 604.2 rpm
  3. 3. T2 = 92.63 N·m
  4. 4. P = 5.791 kW
  5. 5. ND = 50
  6. 6. ND = 20

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