Rugosity Coefficient given Drag Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
n = 1-(FD/(γw*(G-1)*t*sin(αi)))
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 - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Unit Weight of Fluid - (Measured in Newton per Cubic Meter) - 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).
Specific Gravity of Sediment - Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness.
Volume per Unit Area - (Measured in Meter) - 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.
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: 11.98 Newton --> 11.98 Newton No Conversion Required
Unit Weight of Fluid: 9810 Newton per Cubic Meter --> 9810 Newton per Cubic Meter No Conversion Required
Specific Gravity of Sediment: 1.3 --> No Conversion Required
Volume per Unit Area: 4.78 Millimeter --> 0.00478 Meter (Check conversion ​here)
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-(FD/(γw*(G-1)*t*sin(αi))) --> 1-(11.98/(9810*(1.3-1)*0.00478*sin(1.0471975511964)))
Evaluating ... ...
n = 0.0166502139119555
STEP 3: Convert Result to Output's Unit
0.0166502139119555 --> No Conversion Required
FINAL ANSWER
0.0166502139119555 0.01665 <-- 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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Meerut Institute of Engineering and Technology (MIET), Meerut
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Drag Force Calculators

Thickness of Sediment given Drag Force
​ LaTeX ​ Go Volume per Unit Area = (Drag Force/(Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*sin(Angle of Inclination of Plane to Horizontal)))
Unit Weight of Water given Drag Force
​ LaTeX ​ Go Unit Weight of Fluid = (Drag Force/((Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)))
Rugosity Coefficient given Drag Force
​ LaTeX ​ Go 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)))
Drag Force Exerted by Flowing Water
​ LaTeX ​ Go Drag Force = Unit Weight of Fluid*(Specific Gravity of Sediment-1)*(1-Rugosity Coefficient)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal)

Rugosity Coefficient given Drag Force Formula

​LaTeX ​Go
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)))
n = 1-(FD/(γw*(G-1)*t*sin(αi)))

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 Fluid*(Specific Gravity of Sediment-1)*Volume per Unit Area*sin(Angle of Inclination of Plane to Horizontal))) to calculate 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 calculate Rugosity Coefficient given Drag Force using this online calculator? To use this online calculator for Rugosity Coefficient given Drag Force, enter Drag Force (FD), Unit Weight of Fluid w), Specific Gravity of Sediment (G), Volume per Unit Area (t) & Angle of Inclination of Plane to Horizontal i) and hit the calculate button. Here is how the Rugosity Coefficient given Drag Force calculation can be explained with given input values -> 0.033067 = 1-(11.98/(9810*(1.3-1)*0.00478*sin(1.0471975511964))).

FAQ

What is Rugosity Coefficient given Drag Force?
The Rugosity Coefficient given Drag Force measures surface roughness in pipes or channels, affecting flow resistance and velocity and is represented as n = 1-(FD/(γw*(G-1)*t*sin(αi))) or 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))). Drag Force is the resisting force experienced by an object moving through a 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), Specific Gravity of Sediment is the ratio of sediment particle density to the density of water, indicating its heaviness, 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 & 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 measures surface roughness in pipes or channels, affecting flow resistance and velocity is calculated using 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 calculate Rugosity Coefficient given Drag Force, you need Drag Force (FD), Unit Weight of Fluid w), Specific Gravity of Sediment (G), Volume per Unit Area (t) & Angle of Inclination of Plane to Horizontal i). With our tool, you need to enter the respective value for Drag Force, Unit Weight of Fluid, Specific Gravity of Sediment, Volume per Unit Area & 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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