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Vertical Rope Tension Calculator — result sheet
Estimate the tension in an ideal vertical rope supporting a mass with a stated vertical acceleration.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: For one mass and an ideal vertical rope, tension T = m(g + a), where upward acceleration a is positive and downward acceleration is negative.
The page models a single supported mass moving vertically with a massless ideal rope. It separates tension from gravitational weight and rejects a scenario in which the calculated rope force would be negative.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Supported mass — kg; minimum 1.0E-6; maximum 1000000000
- Gravitational acceleration — m/s²; minimum 1.0E-6; maximum 100
- Upward acceleration — m/s²; minimum -100; maximum 1000
Worked example
| Input | Value |
|---|---|
| Supported mass | 5 |
| Gravitational acceleration | 9.80665 |
| Upward acceleration | 0 |
Tension = 5 × (9.80665 + 0) = 49.03325 N.
Assumptions and limits
- The rope is vertical and the supported mass is the only load in the model.
- Upward acceleration is positive; downward acceleration is entered as a negative value.
- The rope is ideal, massless, straight, and does not stretch in the model.
- The mass is positive and the local gravitational acceleration is positive.
- The calculated tension is uniform along the ideal rope.
- Rope mass, pulley inertia, friction, elasticity, shock loading, and vibration are not modeled.
- The model does not cover a slack rope or a rope that can push.
- The output is a mechanics estimate, not a safe working load or rigging instruction.
- Real lifting and suspended-load decisions require competent inspection, equipment ratings, and applicable local rules.
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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