Angle of Repose Calculator

✖Limiting Force is the friction generated when two surfaces come in contact with each other.ⓘ Limiting Force [F_lim]			+10% -10%
✖Normal Reaction is the force exerted by a surface on an object in contact with it which prevents the object from passing through the surface.ⓘ Normal Reaction [R_n]			+10% -10%

✖Angle of Repose is the angle that the plane of contact between two bodies makes with the horizontal when the upper body is just on the point of sliding.ⓘ Angle of Repose [α_r]

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Angle of Repose Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Repose = atan(Limiting Force/Normal Reaction)
α_r = atan(F_lim/R_n)
This formula uses 2 Functions, 3 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
atan - Inverse tan is used to calculate the angle by applying the tangent ratio of the angle, which is the opposite side divided by the adjacent side of the right triangle., atan(Number)

Variables Used

Angle of Repose - (Measured in Radian) - Angle of Repose is the angle that the plane of contact between two bodies makes with the horizontal when the upper body is just on the point of sliding.
Limiting Force - (Measured in Newton) - Limiting Force is the friction generated when two surfaces come in contact with each other.
Normal Reaction - (Measured in Newton) - Normal Reaction is the force exerted by a surface on an object in contact with it which prevents the object from passing through the surface.

STEP 1: Convert Input(s) to Base Unit

Limiting Force: 2.15 Newton --> 2.15 Newton No Conversion Required
Normal Reaction: 6.4431 Newton --> 6.4431 Newton No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

α_r = atan(F_lim/R_n) --> atan(2.15/6.4431)

Evaluating ... ...

α_r = 0.322071793904571

STEP 3: Convert Result to Output's Unit

0.322071793904571 Radian -->18.4533544909427 Degree (Check conversion here)

FINAL ANSWER

18.4533544909427 ≈ 18.45335 Degree <-- Angle of Repose

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Angle Friction Calculators

Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Downward

LaTeX Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal-Limiting Angle of Friction)/tan(Angle of Inclination of Plane to Horizontal)

Efficiency of Inclined Plane when Effort Applied Horizontally to Move Body Upward

LaTeX Go Efficiency of Inclined Plane = tan(Angle of Inclination of Plane to Horizontal)/tan(Angle of Inclination of Plane to Horizontal+Limiting Angle of Friction)

Angle of Repose

LaTeX Go Angle of Repose = atan(Limiting Force/Normal Reaction)

Coefficient of Friction between Cylinder and Surface of Inclined Plane for Rolling without Slipping

LaTeX Go Coefficient of Friction = (tan(Angle of Inclination))/3

Angle of Repose Formula

LaTeX Go

Angle of Repose = atan(Limiting Force/Normal Reaction)
α_r = atan(F_lim/R_n)

What is the difference between angle of friction and angle of repose?

Angle of Friction is the angle between the normal force (N) and the resultant force (R) of normal force and friction. Angle of Repose is the angle of maximum slope, where an object placed just begins to slide.

How to Calculate Angle of Repose?

Angle of Repose calculator uses Angle of Repose = atan(Limiting Force/Normal Reaction) to calculate the Angle of Repose, Angle of Repose formula is defined as the maximum angle at which a loose, unconsolidated material can stay in place without sliding or collapsing, and it is an important parameter in understanding the stability of slopes and heaps in various fields such as geology, mining, and construction. Angle of Repose is denoted by α_r symbol.

How to calculate Angle of Repose using this online calculator? To use this online calculator for Angle of Repose, enter Limiting Force (F_lim) & Normal Reaction (R_n) and hit the calculate button. Here is how the Angle of Repose calculation can be explained with given input values -> 1057.299 = atan(2.15/6.4431).

FAQ

What is Angle of Repose?

Angle of Repose formula is defined as the maximum angle at which a loose, unconsolidated material can stay in place without sliding or collapsing, and it is an important parameter in understanding the stability of slopes and heaps in various fields such as geology, mining, and construction and is represented as α_r = atan(F_lim/R_n) or Angle of Repose = atan(Limiting Force/Normal Reaction). Limiting Force is the friction generated when two surfaces come in contact with each other & Normal Reaction is the force exerted by a surface on an object in contact with it which prevents the object from passing through the surface.

How to calculate Angle of Repose?

Angle of Repose formula is defined as the maximum angle at which a loose, unconsolidated material can stay in place without sliding or collapsing, and it is an important parameter in understanding the stability of slopes and heaps in various fields such as geology, mining, and construction is calculated using Angle of Repose = atan(Limiting Force/Normal Reaction). To calculate Angle of Repose, you need Limiting Force (F_lim) & Normal Reaction (R_n). With our tool, you need to enter the respective value for Limiting Force & Normal Reaction and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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