Angle of Repose Calculator

Find the angle of repose from the friction coefficient.

Angle of repose (°) 30.964

Formula: θ = arctan(μ)

Step-by-step with your numbers:

1. Values used:

2. Friction coefficient = 0.6

4. Angle of repose = 30.964°

Did we solve your problem today?

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.

μ = 0.6 → about 31°.

Why does dry sand peak around 34°?

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