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# Winches

## Effort force to raise a 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 calculated as

VR = R / r              (1)

where

VR = velocity ratio

R = effort force radius (m)

### Effort Force

The force to raise a load can be calculated 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)

### Example - Winch Effort Force

The effort force for a winch with small radius 5 mm and large radius 10 mm, efficiency 0.95 and load 1000 kg - can be calculated as

F = (1000 kg) (9.81 m/s2) (5 mm) / ((0.95) (10 mm))

= 5163 N

Mass (kg)

Efficiency

## Related Topics

• Dynamics - Motion - velocity and acceleration, forces and torque.

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## Citation

• Engineering ToolBox, (2011). Winches. [online] Available at: https://www.engineeringtoolbox.com/winches-d_1782.html [Accessed Day Mo. Year].

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