Gears

Gears effort force vs. load force.

Gears

A gear is a mechanical device that transmits rotary motion by changing the magnitude and line of action of the effort force.

The effort force can be expressed as:

F = W (r₁ r₂ ... rₙ) / (R₁ R₂ ... Rₙ)

Where:

  • F = effort force (N, lbf)
  • W = load force or weight (N, lbf)
  • r = gear wheel inside diameter (m, in)
  • R = gear wheel outside diameter (m, in)
Calculator

Inputs

Results

Effort Force (F)-- N
Effort Force (F)-- kN
WheelInside Diameter (r)Outside Diameter (R)Ratio (r/R)
Wheel 10.050.12=A2/B2
Wheel 20.060.13=A3/B3
Wheel 30.070.14=A4/B4