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Winch Line Pull Planning Calculator — result sheet
Estimate the line pull for moving a mass up a slope from grade, rolling resistance, line efficiency, and a visible safety factor.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Slope angle = atan(slope/100); rolling force = mgCrr cos(angle); grade force = mg sin(angle); required line pull before safety = (rolling force + grade force)/efficiency; recommended rating = line pull × safety factor.
The estimate treats the load as moving steadily up a slope and keeps rolling resistance, line efficiency, and safety margin visible. It is a first-pass force model, not a vehicle-recovery plan: drum layer, anchor, rope angle, snatch blocks, traction, braking, ground condition, and equipment limits can dominate the real setup.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Gross moving mass — kg; minimum 1.0E-6; maximum 1000000
- Slope — %; minimum 0; maximum 1000
- Rolling-resistance coefficient — minimum 1.0E-6; maximum 1
- Line and pulley efficiency — %; minimum 1.0E-6; maximum 100
- Planning safety factor — minimum 1; maximum 20
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 100
Worked example
| Input | Value |
|---|---|
| Gross moving mass | 2000 |
| Slope | 10 |
| Rolling-resistance coefficient | 0.02 |
| Line and pulley efficiency | 85 |
| Planning safety factor | 1.5 |
| Gravitational acceleration | 9.80665 |
The model estimates about 2,755 N before the safety factor and a recommended planning pull of about 4,133 N, equivalent to about 421 kgf.
Assumptions and limits
- Gross mass includes the object and any carried load that moves with it.
- Slope is a nonnegative rise divided by run expressed as a percentage.
- Rolling resistance is represented by a user-entered coefficient and acts along the slope.
- Line and pulley efficiency reduces the useful pull available at the load.
- The safety factor is a planning multiplier, not a legal or manufacturer rating.
- The load moves steadily without acceleration, shock loading, side pull, or changing traction.
- Use the winch, rope, anchor, vehicle, and recovery manufacturer’s limits and a trained operator for any real pull.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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