Unit Weight of Water given Hydraulic Mean Depth Solution

STEP 0: Pre-Calculation Summary
Formula Used
Unit Weight of Fluid = Drag Force/(Hydraulic Mean Depth*Bed Slope of a Sewer)
γw = FD/(m*)
This formula uses 4 Variables
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.
Hydraulic Mean Depth - (Measured in Meter) - The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels.
Bed Slope of a Sewer - The Bed Slope of a Sewer is the gradient or incline along the sewer's length, crucial for maintaining proper flow velocity.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 11.98 Newton --> 11.98 Newton No Conversion Required
Hydraulic Mean Depth: 10 Meter --> 10 Meter No Conversion Required
Bed Slope of a Sewer: 0.00012 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
γw = FD/(m*S̄) --> 11.98/(10*0.00012)
Evaluating ... ...
γw = 9983.33333333333
STEP 3: Convert Result to Output's Unit
9983.33333333333 Newton per Cubic Meter --> No Conversion Required
FINAL ANSWER
9983.33333333333 9983.333 Newton per Cubic Meter <-- Unit Weight of Fluid
(Calculation completed in 00.020 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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Minimum Velocity to be Generated in Sewers Calculators

Chezy's Constant given Self Cleansing Velocity
​ LaTeX ​ Go Chezy's Constant = Self Cleansing Velocity/(sqrt(Dimensional Constant*Diameter of Particle*(Specific Gravity of Sediment-1)))
Unit Weight of Water given Hydraulic Mean Depth
​ LaTeX ​ Go Unit Weight of Fluid = Drag Force/(Hydraulic Mean Depth*Bed Slope of a Sewer)
Chezy's Constant given Friction Factor
​ LaTeX ​ Go Chezy's Constant = sqrt((8*[g])/Friction Factor)
Cross Sectional Area of Flow given Hydraulic Mean Radius of Channel
​ LaTeX ​ Go Wetted Area = (Hydraulic Mean Depth*Wetted Perimeter)

Unit Weight of Water given Hydraulic Mean Depth Formula

​LaTeX ​Go
Unit Weight of Fluid = Drag Force/(Hydraulic Mean Depth*Bed Slope of a Sewer)
γw = FD/(m*)

What is Hydraulic Mean Depth?

Hydraulic mean radius, also known as hydraulic radius, is the ratio of the cross-sectional area of fluid flow to the wetted perimeter in a channel or pipe. It is a key parameter in fluid mechanics, influencing flow velocity, discharge, and resistance. The hydraulic radius is crucial for calculating flow characteristics in open channels and full or partially full pipes, helping to determine the efficiency and capacity of water conveyance systems.

How to Calculate Unit Weight of Water given Hydraulic Mean Depth?

Unit Weight of Water given Hydraulic Mean Depth calculator uses Unit Weight of Fluid = Drag Force/(Hydraulic Mean Depth*Bed Slope of a Sewer) to calculate the Unit Weight of Fluid, The Unit Weight of Water given Hydraulic Mean Depth is defined as the weight per unit volume, often expressed in N/m³ or lb/ft³, and varies with fluid density. Unit Weight of Fluid is denoted by γw symbol.

How to calculate Unit Weight of Water given Hydraulic Mean Depth using this online calculator? To use this online calculator for Unit Weight of Water given Hydraulic Mean Depth, enter Drag Force (FD), Hydraulic Mean Depth (m) & Bed Slope of a Sewer (S̄) and hit the calculate button. Here is how the Unit Weight of Water given Hydraulic Mean Depth calculation can be explained with given input values -> 0.2995 = 11.98/(10*bed_slope).

FAQ

What is Unit Weight of Water given Hydraulic Mean Depth?
The Unit Weight of Water given Hydraulic Mean Depth is defined as the weight per unit volume, often expressed in N/m³ or lb/ft³, and varies with fluid density and is represented as γw = FD/(m*S̄) or Unit Weight of Fluid = Drag Force/(Hydraulic Mean Depth*Bed Slope of a Sewer). Drag Force is the resisting force experienced by an object moving through a fluid, The Hydraulic Mean Depth refers to the cross-sectional area of flow divided by the wetted perimeter, used to analyze fluid flow in channels & The Bed Slope of a Sewer is the gradient or incline along the sewer's length, crucial for maintaining proper flow velocity.
How to calculate Unit Weight of Water given Hydraulic Mean Depth?
The Unit Weight of Water given Hydraulic Mean Depth is defined as the weight per unit volume, often expressed in N/m³ or lb/ft³, and varies with fluid density is calculated using Unit Weight of Fluid = Drag Force/(Hydraulic Mean Depth*Bed Slope of a Sewer). To calculate Unit Weight of Water given Hydraulic Mean Depth, you need Drag Force (FD), Hydraulic Mean Depth (m) & Bed Slope of a Sewer (S̄). With our tool, you need to enter the respective value for Drag Force, Hydraulic Mean Depth & Bed Slope of a Sewer 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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