What is the formula of the angle of repose?

Answer 1

The angle of repose is defined as the maximum angle at which a pile of granular material can remain stable without sliding. It can be calculated using the formula:

[ \theta = \tan^{-1}\left(\frac{h}{d}\right) ]

where ( \theta ) is the angle of repose, ( h ) is the height of the pile, and ( d ) is the horizontal distance from the base of the pile to its peak. Alternatively, it can also be expressed in terms of the coefficients of static friction (( \mu )) as ( \theta = \tan^{-1}(\mu) ).