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Winches

Effort force to raise a load

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winch effort force and load

A winch is a mechanical device that is used to wind up or wind out a rope or wire rope.

Velocity Ratio

The velocity ratio can be expressed as

VR = R / r              (1)

where

VR = velocity ratio

R = effort force radius (m)

r = load radius (m)

Effort Force

The force to raise a load can be expressed as

F = W / μ VR 

   = W r / μ

   = m ag r / μ R              (2)

where

F = force (N)

μ = mechanical efficiency of the system (equal to one for an ideal friction-less system,  a fraction less than one for real-world systems with energy losses due to friction)

m = mass (kg)

ag = acceleration of gravity (9.81 m/s2)

W = weight (N)

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