The formula to calculate the Angle of Repose (a) is:
\[ a = \tan^{-1} \left( \frac{h}{r} \right) \]
Where:
An angle of repose is a measure of the flowability of bulk solids such as powders. It is the angle that the surface of a pile of bulk material makes with the horizontal ground when the material is at rest.
Consider an example where:
Using the formula to calculate the Angle of Repose:
\[ a = \tan^{-1} \left( \frac{2}{3} \right) \approx 33.69 \text{ degrees} \]
This means that the angle of repose for this example is approximately 33.69 degrees.