FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Angle of Repose Formula

Fx Copy

LaTeX Copy

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. Check FAQs

α r = a \tan (\frac{F lim}{R n})

α_r - Angle of Repose?F_lim - Limiting Force?R_n - Normal Reaction?

Angle of Repose Example

With values

With units

Only example

Here is how the Angle of Repose equation looks like with Values.

Here is how the Angle of Repose equation looks like with Units.

Here is how the Angle of Repose equation looks like.

18.4534 = a \tan (\frac{2.15}{6.4431})

18.4534° = a \tan (\frac{2.15N}{6.4431N})

18.4534 = a \tan (\frac{2.15}{6.4431})

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Physics » Category

Mechanical » Category

Mechanics » fx Angle of Repose

Angle of Repose Solution

Follow our step by step solution on how to calculate Angle of Repose?

FIRST Step Consider the formula

α r = a \tan (\frac{F lim}{R n})

Next Step Substitute values of Variables

∴

α r = a \tan (\frac{2.15N}{6.4431N})

Next Step Prepare to Evaluate

∴

α r = a \tan (\frac{2.15}{6.4431})

Next Step Evaluate

∴

α r = 0.322071793904571rad

Next Step Convert to Output's Unit

∴

α r = 18.4533544909427°

LAST Step Rounding Answer

∴

α r = 18.4534°

Angle of Repose Formula Elements

Variables

Functions

Angle of Repose

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.

Symbol: α_r

Measurement: AngleUnit: °

Note: Value should be less than 90.

Formulas to find Angle of Repose

Limiting Force

Limiting Force is the friction generated when two surfaces come in contact with each other.

Symbol: F_lim

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Limiting Force

Normal Reaction

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.

Symbol: R_n

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Normal Reaction

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.

Syntax: 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.

Syntax: atan(Number)

Other formulas in Angle Friction category

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

μ = \frac{\tan (θ i)}{3}

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

η = \frac{\tan (α i - Φ)}{\tan (α i)}

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

η = \frac{\tan (α i)}{\tan (α i + Φ)}

Go Efficiency of Inclined Plane when Effort Applied Parallel to Move Body Downward

η = \frac{\sin (α i - Φ)}{\sin (α i) \cdot \cos (Φ)}

How to Evaluate Angle of Repose?

Angle of Repose evaluator uses Angle of Repose = atan(Limiting Force/Normal Reaction) to evaluate 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 evaluate Angle of Repose using this online evaluator? To use this online evaluator for Angle of Repose, enter Limiting Force (F_lim) & Normal Reaction (R_n) and hit the calculate button.

FAQs on Angle of Repose

What is the formula to find Angle of Repose?

The formula of Angle of Repose is expressed as Angle of Repose = atan(Limiting Force/Normal Reaction). Here is an example- 1057.299 = atan(2.15/6.4431).

How to calculate Angle of Repose?

With Limiting Force (F_lim) & Normal Reaction (R_n) we can find Angle of Repose using the formula - Angle of Repose = atan(Limiting Force/Normal Reaction). This formula also uses Tangent (tan), Inverse Tan (atan) function(s).

Can the Angle of Repose be negative?

No, the Angle of Repose, measured in Angle cannot be negative.

Which unit is used to measure Angle of Repose?

Angle of Repose is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Repose can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!