Rugosity Coefficient given Drag Force Calculator

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖Unit Weight of Liquid is the weight of water per unit volume of water.ⓘ Unit Weight of Liquid [γ_w]			+10% -10%
✖Specific gravity of sediment is the ratio of density of sediment to density of standard substance.ⓘ Specific gravity of sediment [G]			+10% -10%
✖Thickness is the distance through an object.ⓘ Thickness [t]			+10% -10%
✖Angle of inclination of plane to horizontal is formed by the inclination of one plane to another; measured in degrees or radians.ⓘ Angle of inclination of plane to horizontal [α_inclination]			+10% -10%

✖Rugosity coefficient depend upon the type of channel surface.ⓘ Rugosity Coefficient given Drag Force [n]

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Formula

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Rugosity Coefficient given Drag Force

Formula

`"n" = 1-("F"_{"D"}/("γ"_{"w"}*("G"-1)*"t"*sin("α"_{"inclination"})))`

Example

`"0.973843"=1-("80N"/("9810N/m³"*("1.3"-1)*"1.2m"*sin("60°")))`

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Rugosity Coefficient given Drag Force Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rugosity coefficient = 1-(Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*Thickness*sin(Angle of inclination of plane to horizontal)))
n = 1-(F_D/(γ_w*(G-1)*t*sin(α_inclination)))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sin(Angle)

Variables Used

Rugosity coefficient - Rugosity coefficient depend upon the type of channel surface.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Unit Weight of Liquid - (Measured in Newton per Cubic Meter) - Unit Weight of Liquid is the weight of water per unit volume of water.
Specific gravity of sediment - Specific gravity of sediment is the ratio of density of sediment to density of standard substance.
Thickness - (Measured in Meter) - Thickness is the distance through an object.
Angle of inclination of plane to horizontal - (Measured in Radian) - Angle of inclination of plane to horizontal is formed by the inclination of one plane to another; measured in degrees or radians.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 80 Newton --> 80 Newton No Conversion Required
Unit Weight of Liquid: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Specific gravity of sediment: 1.3 --> No Conversion Required
Thickness: 1.2 Meter --> 1.2 Meter No Conversion Required
Angle of inclination of plane to horizontal: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

n = 1-(F_D/(γ_w*(G-1)*t*sin(α_inclination))) --> 1-(80/(9810*(1.3-1)*1.2*sin(1.0471975511964)))

Evaluating ... ...

n = 0.973843005133551

STEP 3: Convert Result to Output's Unit

0.973843005133551 --> No Conversion Required

FINAL ANSWER

0.973843005133551 ≈ 0.973843 <-- Rugosity coefficient

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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< 7 Drag Force Calculators

Thickness of Sediment given Drag Force

Go Thickness = (Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*sin(Angle of inclination of plane to horizontal)))

Unit Weight of Water given Drag Force

Go Unit Weight of Liquid = (Drag Force/((Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness*sin(Angle of inclination of plane to horizontal)))

Angle of Inclination given drag force

Go Angle of inclination of plane to horizontal = arsin(Drag Force/(Unit Weight of Water*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness))

Rugosity Coefficient given Drag Force

Go Rugosity coefficient = 1-(Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*Thickness*sin(Angle of inclination of plane to horizontal)))

Drag Force Exerted by Flowing Water

Go Drag Force = Unit Weight of Liquid*(Specific gravity of sediment-1)*(1-Rugosity coefficient)*Thickness*sin(Angle of inclination of plane to horizontal)

Bed Slope of Channel given Drag Force

Go Bed Slope = Drag Force/(Unit Weight of Liquid*Hydraulic mean depth)

Drag Force or Intensity of Tractive force

Go Drag Force = Unit Weight of Liquid*Hydraulic mean depth*Bed Slope

Rugosity Coefficient given Drag Force Formula

What is specific gravity ?

Relative density, or specific gravity, is the ratio of the density of a substance to the density of a given reference material. Specific gravity for liquids is nearly always measured with respect to water at its densest; for gases, the reference is air at room temperature.

How to Calculate Rugosity Coefficient given Drag Force?

Rugosity Coefficient given Drag Force calculator uses Rugosity coefficient = 1-(Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*Thickness*sin(Angle of inclination of plane to horizontal))) to calculate the Rugosity coefficient, The Rugosity Coefficient given Drag Force is a coefficient which represents the roughness or friction applied to the flow by the channel. Rugosity coefficient is denoted by n symbol.

How to calculate Rugosity Coefficient given Drag Force using this online calculator? To use this online calculator for Rugosity Coefficient given Drag Force, enter Drag Force (F_D), Unit Weight of Liquid (γ_w), Specific gravity of sediment (G), Thickness (t) & Angle of inclination of plane to horizontal (α_inclination) and hit the calculate button. Here is how the Rugosity Coefficient given Drag Force calculation can be explained with given input values -> 0.973843 = 1-(80/(9810*(1.3-1)*1.2*sin(1.0471975511964))).

FAQ

What is Rugosity Coefficient given Drag Force?

The Rugosity Coefficient given Drag Force is a coefficient which represents the roughness or friction applied to the flow by the channel and is represented as n = 1-(F_D/(γ_w*(G-1)*t*sin(α_inclination))) or Rugosity coefficient = 1-(Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*Thickness*sin(Angle of inclination of plane to horizontal))). Drag Force is the resisting force experienced by an object moving through a fluid, Unit Weight of Liquid is the weight of water per unit volume of water, Specific gravity of sediment is the ratio of density of sediment to density of standard substance, Thickness is the distance through an object & Angle of inclination of plane to horizontal is formed by the inclination of one plane to another; measured in degrees or radians.

How to calculate Rugosity Coefficient given Drag Force?

The Rugosity Coefficient given Drag Force is a coefficient which represents the roughness or friction applied to the flow by the channel is calculated using Rugosity coefficient = 1-(Drag Force/(Unit Weight of Liquid*(Specific gravity of sediment-1)*Thickness*sin(Angle of inclination of plane to horizontal))). To calculate Rugosity Coefficient given Drag Force, you need Drag Force (F_D), Unit Weight of Liquid (γ_w), Specific gravity of sediment (G), Thickness (t) & Angle of inclination of plane to horizontal (α_inclination). With our tool, you need to enter the respective value for Drag Force, Unit Weight of Liquid, Specific gravity of sediment, Thickness & Angle of inclination of plane to horizontal 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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