Gears

Gears and effort force

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A gear is a mechanical device that can increase the magnitude of an effort force.

gears transmission force

The effort force can be expressed as

F = W (r1 r2 .. rn) / (R1 R2 .. Rn) (1)

where

F = effort force (N, lb)

W = load force or weight (N, lb)

r = gear wheel inside diameter (m, in)

R = gear wheel outside diameter (m, in)

Example - Gear transmission and effort force

The effort force in a gear transmission with three wheels:

and a weight load of 1000 N can be calculated as

F = W (r1 r2 .. rn) / (R1 R2 .. Rn)

= 1000 (N) (0.05 (m) 0.06 (m) 0.07 (m)) / (0.12 (m) 0.13 (m) 0.14 (m))

= 96 N

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Related Topics

  • Mechanics Kinematics, forces, vectors, motion, momentum, energy and the dynamics of objects

Related Documents

  • Mass and Weight What is weight and what is mass? An explanation of the difference between weight and mass
  • Force Force, Newtons third Law and acceleration

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