Angle of repose | Definition | Formula

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Definition of angle of repose: 


The angle of repose is also called a critical angle of repose. The angle of repose is the steepest angle of dip or descent relative to the horizontal plane to which is possible to pile material without slumping. The angle of repose can be range from 00 to 900.


Angle of repose
Angle of repose

The angle of inclination α of the plane is equal to the limiting angle of the friction ϕ. It is the angle of the plane to the horizontal, at which the body just begins to move down the plane. The formula for confirming that is the following below. 

W sin α = F = µ × RN = µ  W cos α 

tan α = µ = tan ϕ 

α = ϕ 

Uses of the angle of repose:

The angle of repose is used in the design of equipment for the processing of particulate solids.  

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