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Guitar String Tension Calculator — result sheet
Estimate ideal string tension from unit mass, vibrating length, and target frequency.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Ideal tension T = unit mass×(2×scale length×frequency)².
The ideal stretched-string relation shows how unit mass, vibrating length, and pitch combine to determine tension.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- String unit mass — kg/m; minimum 1.0E-12; maximum 1000
- Scale length — m; minimum 1.0E-6; maximum 1000
- Target frequency — Hz; minimum 1.0E-6; maximum 1000000
Worked example
| Input | Value |
|---|---|
| String unit mass | 0.0005 |
| Scale length | 0.65 |
| Target frequency | 110 |
Ideal tension ≈ 10.225 N.
Assumptions and limits
- Unit mass, scale length, and frequency are positive SI quantities.
- The string is flexible, uniform, and ideal with fixed endpoints.
- Stiffness, inharmonicity, bending, tuning stability, bridge losses, and instrument limits are not modeled.
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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