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Angle of Inclination given drag force Formula

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Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians. Check FAQs

α i = a r \sin (\frac{F D}{γ w \cdot (G - 1) \cdot (1 - n) \cdot t})

α_i - Angle of Inclination of Plane to Horizontal?F_D - Drag Force?γ_w - Unit Weight of Fluid?G - Specific Gravity of Sediment?n - Rugosity Coefficient?t - Volume per Unit Area?

Angle of Inclination given drag force Example

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Here is how the Angle of Inclination given drag force equation looks like with Values.

Here is how the Angle of Inclination given drag force equation looks like with Units.

Here is how the Angle of Inclination given drag force equation looks like.

59.8342 = a r \sin (\frac{11.98}{9810 \cdot (1.3 - 1) \cdot (1 - 0.015) \cdot 4.78})

59.8342° = a r \sin (\frac{11.98N}{9810N/m³ \cdot (1.3 - 1) \cdot (1 - 0.015) \cdot 4.78mm})

59.8342 = a r \sin (\frac{11.98}{9810 \cdot (1.3 - 1) \cdot (1 - 0.015) \cdot 4.78})

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Angle of Inclination given drag force Solution

Follow our step by step solution on how to calculate Angle of Inclination given drag force?

FIRST Step Consider the formula

α i = a r \sin (\frac{F D}{γ w \cdot (G - 1) \cdot (1 - n) \cdot t})

Next Step Substitute values of Variables

∴

α i = a r \sin (\frac{11.98N}{9810N/m³ \cdot (1.3 - 1) \cdot (1 - 0.015) \cdot 4.78mm})

Next Step Convert Units

∴

α i = a r \sin (\frac{11.98N}{9810N/m³ \cdot (1.3 - 1) \cdot (1 - 0.015) \cdot 0.0048m})

Next Step Prepare to Evaluate

∴

α i = a r \sin (\frac{11.98}{9810 \cdot (1.3 - 1) \cdot (1 - 0.015) \cdot 0.0048})

Next Step Evaluate

∴

α i = 1.04430302191521rad

Next Step Convert to Output's Unit

∴

α i = 59.8341556885109°

LAST Step Rounding Answer

∴

α i = 59.8342°

Angle of Inclination given drag force Formula Elements

Variables

Functions

Angle of Inclination of Plane to Horizontal

Angle of Inclination of Plane to Horizontal is formed by the inclination of one plane to another; measured in degrees or radians.

Symbol: α_i

Measurement: AngleUnit: °

Note: Value should be between 0 to 90.

Formulas to find Angle of Inclination of Plane to Horizontal

Drag Force

Drag Force is the resisting force experienced by an object moving through a fluid.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

Unit Weight of Fluid

Unit Weight of Fluid refers to the weight per unit volume, often expressed in N/m³ or lb/ft³ and varies with fluid density (for water 9810N/m3).

Symbol: γ_w

Measurement: Specific WeightUnit: N/m³

Note: Value should be greater than 0.

Formulas to find Unit Weight of Fluid

Specific Gravity of Sediment

Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Sediment

Rugosity Coefficient

The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.

Symbol: n

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Rugosity Coefficient

Volume per Unit Area

Volume per Unit Area refers to function of diameter of particle for single grain as an inverse measure of surface area for drag or friction.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Volume per Unit Area

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

arsin

Arcsine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: arsin(Number)

Other formulas in Drag Force category

Go Drag Force Exerted by Flowing Water

F D = γ w \cdot (G - 1) \cdot (1 - n) \cdot t \cdot \sin (α i)

Go Unit Weight of Water given Drag Force

γ w = (\frac{F D}{(G - 1) \cdot (1 - n) \cdot t \cdot \sin (α i)})

Go Rugosity Coefficient given Drag Force

n = 1 - (\frac{F D}{γ w \cdot (G - 1) \cdot t \cdot \sin (α i)})

Go Thickness of Sediment given Drag Force

t = (\frac{F D}{γ w \cdot (G - 1) \cdot (1 - n) \cdot \sin (α i)})

How to Evaluate Angle of Inclination given drag force?

Angle of Inclination given drag force evaluator uses Angle of Inclination of Plane to Horizontal = arsin(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area)) to evaluate the Angle of Inclination of Plane to Horizontal, The angle of Inclination given drag force is the angle formed by the inclination of one plane to another; measured in degrees or radians. Angle of Inclination of Plane to Horizontal is denoted by α_i symbol.

How to evaluate Angle of Inclination given drag force using this online evaluator? To use this online evaluator for Angle of Inclination given drag force, enter Drag Force (F_D), Unit Weight of Fluid (γ_w), Specific Gravity of Sediment (G), Rugosity Coefficient (n) & Volume per Unit Area (t) and hit the calculate button.

FAQs on Angle of Inclination given drag force

What is the formula to find Angle of Inclination given drag force?

The formula of Angle of Inclination given drag force is expressed as Angle of Inclination of Plane to Horizontal = arsin(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area)). Here is an example- 3336.161 = arsin(11.98/(9810*(1.3-1)*(1-0.015)*0.00478)).

How to calculate Angle of Inclination given drag force?

With Drag Force (F_D), Unit Weight of Fluid (γ_w), Specific Gravity of Sediment (G), Rugosity Coefficient (n) & Volume per Unit Area (t) we can find Angle of Inclination given drag force using the formula - Angle of Inclination of Plane to Horizontal = arsin(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area)). This formula also uses Sine (sin), Inverse Sine (arsin) function(s).

Can the Angle of Inclination given drag force be negative?

No, the Angle of Inclination given drag force, measured in Angle cannot be negative.

Which unit is used to measure Angle of Inclination given drag force?

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

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Angle of Inclination given drag force Formula

Angle of Inclination given drag force Example

Angle of Inclination given drag force Solution

Angle of Inclination given drag force Formula Elements

Other formulas in Drag Force category

How to Evaluate Angle of Inclination given drag force?

FAQs on Angle of Inclination given drag force

Variable Name