Unit Weight of Water given Drag Force Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
γw = (FD/((G-1)*(1-n)*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
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).
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
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.
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
Specific Gravity of Sediment: 1.3 --> No Conversion Required
Rugosity Coefficient: 0.015 --> 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
γw = (FD/((G-1)*(1-n)*t*sin(αi))) --> (11.98/((1.3-1)*(1-0.015)*0.00478*sin(1.0471975511964)))
Evaluating ... ...
γw = 9793.56487464337
STEP 3: Convert Result to Output's Unit
9793.56487464337 Newton per Cubic Meter --> No Conversion Required
FINAL ANSWER
9793.56487464337 9793.565 Newton per Cubic Meter <-- Unit Weight of Fluid
(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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Verified by Ishita Goyal
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)

Unit Weight of Water given Drag Force Formula

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

What is drag force ?

Drag force is the resistance exerted by a fluid (such as air or water) against an object moving through it. This force opposes the motion and is influenced by factors like the object's shape, size, velocity, and the fluid's density and viscosity. Drag force is crucial in engineering for designing vehicles, structures, and systems where fluid flow impacts performance, such as in aerodynamics and hydrodynamics.

How to Calculate Unit Weight of Water given Drag Force?

Unit Weight of Water given Drag Force calculator uses 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))) to calculate the Unit Weight of Fluid, The Unit Weight of Water given Drag Force is defined as the specific weight of water at ordinary temperature and pressure is 9.81 kN/m3. Unit Weight of Fluid is denoted by γw symbol.

How to calculate Unit Weight of Water given Drag Force using this online calculator? To use this online calculator for Unit Weight of Water given Drag Force, enter Drag Force (FD), Specific Gravity of Sediment (G), Rugosity Coefficient (n), Volume per Unit Area (t) & Angle of Inclination of Plane to Horizontal i) and hit the calculate button. Here is how the Unit Weight of Water given Drag Force calculation can be explained with given input values -> 9630.066 = (11.98/((1.3-1)*(1-0.015)*0.00478*sin(1.0471975511964))).

FAQ

What is Unit Weight of Water given Drag Force?
The Unit Weight of Water given Drag Force is defined as the specific weight of water at ordinary temperature and pressure is 9.81 kN/m3 and is represented as γw = (FD/((G-1)*(1-n)*t*sin(αi))) or 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))). Drag Force is the resisting force experienced by an object moving through a fluid, 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, 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 Unit Weight of Water given Drag Force?
The Unit Weight of Water given Drag Force is defined as the specific weight of water at ordinary temperature and pressure is 9.81 kN/m3 is calculated using 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))). To calculate Unit Weight of Water given Drag Force, you need Drag Force (FD), Specific Gravity of Sediment (G), Rugosity Coefficient (n), 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, Specific Gravity of Sediment, Rugosity Coefficient, 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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