Angle of Repose Calculator


About Angle of Repose Calculator (Formula)

The angle of repose is the steepest angle at which a pile of granular material remains stable without collapsing due to gravity. It’s an important concept in fields such as geology, civil engineering, and material science. The angle of repose can vary depending on factors like the size, shape, and cohesion of the particles.

The formula for calculating the angle of repose is not always a simple one-size-fits-all equation, as it can differ based on the specific characteristics of the material. However, one common approach to calculating the angle of repose involves measuring the height and base width of the pile and then using the arctangent function (tan^-1) to find the angle.

Here’s a general outline of how the calculation is done:

  1. Measurements: Measure the height (h) of the pile of granular material and the maximum width (w) of the base of the pile.
  2. Calculation: The angle of repose (θ) can be calculated using the formula:

    θ = tan^-1(h / w)


    • θ is the angle of repose.
    • h is the height of the pile.
    • w is the maximum width of the base.

Remember that this formula assumes a simple scenario where the material behaves like a dry granular pile without any significant cohesion or moisture effects. In real-world scenarios, factors like particle size distribution, moisture content, and particle shape can influence the angle of repose. For cohesive materials, the angle might be different due to the adhesive forces between particles.

Keep in mind that if you are dealing with specific materials or situations, there might be more complex models or equations that better capture the behavior of those materials. Consulting domain-specific literature or experts in the field might be necessary for accurate calculations.

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