Angle of Repose Calculator

Free calculate the steepest angle at which granular materials remain stable without sliding. Get instant, accurate results with our easy-to-use calculator.

Input Parameters

Static friction coefficient between materials

Results

Enter parameters to calculate angle of repose

Angle of Repose Formula

Formula

θ = arctan(μ)

or

θ = arctan(h/r)

Where:

  • • θ = angle of repose
  • • μ = coefficient of friction
  • • h = height of material pile
  • • r = base radius of pile

Common Angles of Repose

  • • Dry sand: ~30-35°
  • • Wet sand: ~45°
  • • Gravel: ~30-40°
  • • Coal: ~35-45°
  • • Wheat: ~27°
  • • Corn: ~23°

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