Thickness of Sediment given Drag Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
t = (FD/(γw*(G-1)*(1-n)*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
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.
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.
Rugosity Coefficient - The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance.
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
Rugosity Coefficient: 0.015 --> 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
t = (FD/(γw*(G-1)*(1-n)*sin(αi))) --> (11.98/(9810*(1.3-1)*(1-0.015)*sin(1.0471975511964)))
Evaluating ... ...
t = 0.00477199185533081
STEP 3: Convert Result to Output's Unit
0.00477199185533081 Meter -->4.77199185533081 Millimeter (Check conversion ​here)
FINAL ANSWER
4.77199185533081 4.771992 Millimeter <-- Volume per Unit Area
(Calculation completed in 00.004 seconds)

Credits

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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)

Thickness of Sediment given Drag Force Formula

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

What is relative density ?

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 Thickness of Sediment given Drag Force?

Thickness of Sediment given Drag Force calculator uses 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))) to calculate the Volume per Unit Area, The Thickness of Sediment given Drag Force is defined as function of diameter of particle for single grain as an inverse measure of surface area for drag or friction. Volume per Unit Area is denoted by t symbol.

How to calculate Thickness of Sediment given Drag Force using this online calculator? To use this online calculator for Thickness of Sediment given Drag Force, enter Drag Force (FD), Unit Weight of Fluid w), Specific Gravity of Sediment (G), Rugosity Coefficient (n) & Angle of Inclination of Plane to Horizontal i) and hit the calculate button. Here is how the Thickness of Sediment given Drag Force calculation can be explained with given input values -> 4692.326 = (11.98/(9810*(1.3-1)*(1-0.015)*sin(1.0471975511964))).

FAQ

What is Thickness of Sediment given Drag Force?
The Thickness of Sediment given Drag Force is defined as function of diameter of particle for single grain as an inverse measure of surface area for drag or friction and is represented as t = (FD/(γw*(G-1)*(1-n)*sin(αi))) or 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))). 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, The Rugosity Coefficient, also known as the Manning's n, quantifies surface roughness in channels, affecting flow velocity and resistance & 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 Thickness of Sediment given Drag Force?
The Thickness of Sediment given Drag Force is defined as function of diameter of particle for single grain as an inverse measure of surface area for drag or friction is calculated using 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))). To calculate Thickness of Sediment given Drag Force, you need Drag Force (FD), Unit Weight of Fluid w), Specific Gravity of Sediment (G), Rugosity Coefficient (n) & 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, Rugosity Coefficient & 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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