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Rugosity Coefficient given Drag Force Formula

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

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

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

Rugosity Coefficient given Drag Force Example

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Here is how the Rugosity Coefficient given Drag Force equation looks like with Values.

Here is how the Rugosity Coefficient given Drag Force equation looks like with Units.

Here is how the Rugosity Coefficient given Drag Force equation looks like.

0.0167 = 1 - (\frac{11.98}{9810 \cdot (1.3 - 1) \cdot 4.78 \cdot \sin (60)})

0.0167 = 1 - (\frac{11.98N}{9810N/m³ \cdot (1.3 - 1) \cdot 4.78mm \cdot \sin (60°)})

0.0167 = 1 - (\frac{11.98}{9810 \cdot (1.3 - 1) \cdot 4.78 \cdot \sin (60)})

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Rugosity Coefficient given Drag Force Solution

Follow our step by step solution on how to calculate Rugosity Coefficient given Drag Force?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

n = 1 - (\frac{11.98N}{9810N/m³ \cdot (1.3 - 1) \cdot 4.78mm \cdot \sin (60°)})

Next Step Convert Units

∴

n = 1 - (\frac{11.98N}{9810N/m³ \cdot (1.3 - 1) \cdot 0.0048m \cdot \sin (1.0472rad)})

Next Step Prepare to Evaluate

∴

n = 1 - (\frac{11.98}{9810 \cdot (1.3 - 1) \cdot 0.0048 \cdot \sin (1.0472)})

Next Step Evaluate

∴

n = 0.0166502139119555

LAST Step Rounding Answer

∴

n = 0.0167

Rugosity Coefficient given Drag Force Formula Elements

Variables

Functions

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

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

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

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

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)

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 Thickness of Sediment given Drag Force

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

Go Angle of Inclination given drag force

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

How to Evaluate Rugosity Coefficient given Drag Force?

Rugosity Coefficient given Drag Force evaluator uses Rugosity Coefficient = 1-(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal))) to evaluate the Rugosity Coefficient, The Rugosity Coefficient given Drag Force measures surface roughness in pipes or channels, affecting flow resistance and velocity. Rugosity Coefficient is denoted by n symbol.

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

FAQs on Rugosity Coefficient given Drag Force

What is the formula to find Rugosity Coefficient given Drag Force?

The formula of Rugosity Coefficient given Drag Force is expressed as Rugosity Coefficient = 1-(Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal))). Here is an example- 0.033067 = 1-(11.98/(9810*(1.3-1)*0.00478*sin(1.0471975511964))).

How to calculate Rugosity Coefficient given Drag Force?

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

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Rugosity Coefficient given Drag Force Formula

Rugosity Coefficient given Drag Force Example

Rugosity Coefficient given Drag Force Solution

Rugosity Coefficient given Drag Force Formula Elements

Other formulas in Drag Force category

How to Evaluate Rugosity Coefficient given Drag Force?

FAQs on Rugosity Coefficient given Drag Force

Variable Name