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Angle of Repose Calculator — result sheet
Estimate the limiting angle of repose from a static friction coefficient.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: θ = arctan(μₛ).
At the limiting slip condition, the downslope component balances the maximum static-friction force.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Static friction coefficient — minimum 0; maximum 100
Worked example
| Input | Value |
|---|---|
| Static friction coefficient | 0.5 |
Angle of repose ≈ 26.565°.
Assumptions and limits
- The contact is modeled as a simple dry-friction interface.
- The coefficient is dimensionless and represents the limiting static value.
- Material shape, vibration, moisture, packing, and granular flow effects 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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