Physics

Angle of Repose Calculator

Find the angle of repose from the friction coefficient.

Parameters Live Compute
Calculated Output
Angle of repose (°) 30.964
Formula: θ = arctan(μ)
Step-by-Step Breakdown
1. Values used:
2. Friction coefficient = 0.6
3.
4. Angle of repose = 30.964°
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The angle of repose is the steepest slope a granular pile can hold without sliding.

The math behind it

θ = arctan(μ), where μ is the coefficient of friction between the grains.

Worked Example

μ = 0.6 → about 31°.

Frequently Asked Questions

Why does dry sand peak around 34°?

That's its angle of repose, set by inter-grain friction.

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