Vertical Depth of Centroid of Area given Specific Force with Top Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel
Yt = (F-(Acs^2/(T)))/Acs
This formula uses 4 Variables
Variables Used
Distance from Centroidal - (Measured in Meter) - Distance from Centroidal is the average distance between all points and the central point.
Specific Force in OCF - (Measured in Cubic Meter) - Specific Force in OCF (open channel) is dependent on discharge and cross sectional area.
Cross-Sectional Area of Channel - (Measured in Square Meter) - Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Top Width - (Measured in Meter) - Top Width is defined as the width at the top of the section.
STEP 1: Convert Input(s) to Base Unit
Specific Force in OCF: 410 Cubic Meter --> 410 Cubic Meter No Conversion Required
Cross-Sectional Area of Channel: 15 Square Meter --> 15 Square Meter No Conversion Required
Top Width: 2.1 Meter --> 2.1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Yt = (F-(Acs^2/(T)))/Acs --> (410-(15^2/(2.1)))/15
Evaluating ... ...
Yt = 20.1904761904762
STEP 3: Convert Result to Output's Unit
20.1904761904762 Meter --> No Conversion Required
FINAL ANSWER
20.1904761904762 20.19048 Meter <-- Distance from Centroidal
(Calculation completed in 00.004 seconds)

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National Institute of Technology Karnataka (NITK), Surathkal
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5 Momentum in Open-Channel Flow-Specific Force Calculators

Vertical Depth of Centroid of Area given Specific Force
Go Distance from Centroidal = (Specific Force in OCF-(Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g])))/Cross-Sectional Area of Channel
Specific Force
Go Specific Force in OCF = (Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g]))+Cross-Sectional Area of Channel*Distance from Centroidal
Vertical Depth of Centroid of Area given Specific Force with Top Width
Go Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel
Specific Force given Top Width
Go Specific Force in OCF = ((Cross-Sectional Area of Channel^2)/Top Width)+Cross-Sectional Area of Channel*Distance from Centroidal
Top Width given Specific Force
Go Top Width = (Cross-Sectional Area of Channel^2)/(Specific Force in OCF-Cross-Sectional Area of Channel*Distance from Centroidal)

Vertical Depth of Centroid of Area given Specific Force with Top Width Formula

Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel
Yt = (F-(Acs^2/(T)))/Acs

What is Rate of Flow?

In physics and engineering, in particular fluid dynamics, the volumetric flow rate is the volume of fluid which passes per unit time; usually it is represented by the symbol Q. The SI unit is cubic metres per second. Another unit used is standard cubic centimetres per minute. In hydrometry, it is known as discharge.

How to Calculate Vertical Depth of Centroid of Area given Specific Force with Top Width?

Vertical Depth of Centroid of Area given Specific Force with Top Width calculator uses Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel to calculate the Distance from Centroidal, The Vertical Depth of Centroid of Area given Specific Force with Top Width is defined as the distance of centroid of section. Distance from Centroidal is denoted by Yt symbol.

How to calculate Vertical Depth of Centroid of Area given Specific Force with Top Width using this online calculator? To use this online calculator for Vertical Depth of Centroid of Area given Specific Force with Top Width, enter Specific Force in OCF (F), Cross-Sectional Area of Channel (Acs) & Top Width (T) and hit the calculate button. Here is how the Vertical Depth of Centroid of Area given Specific Force with Top Width calculation can be explained with given input values -> 118.9692 = (410-(15^2/(2.1)))/15.

FAQ

What is Vertical Depth of Centroid of Area given Specific Force with Top Width?
The Vertical Depth of Centroid of Area given Specific Force with Top Width is defined as the distance of centroid of section and is represented as Yt = (F-(Acs^2/(T)))/Acs or Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel. Specific Force in OCF (open channel) is dependent on discharge and cross sectional area, Cross-Sectional Area of Channel is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point & Top Width is defined as the width at the top of the section.
How to calculate Vertical Depth of Centroid of Area given Specific Force with Top Width?
The Vertical Depth of Centroid of Area given Specific Force with Top Width is defined as the distance of centroid of section is calculated using Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel. To calculate Vertical Depth of Centroid of Area given Specific Force with Top Width, you need Specific Force in OCF (F), Cross-Sectional Area of Channel (Acs) & Top Width (T). With our tool, you need to enter the respective value for Specific Force in OCF, Cross-Sectional Area of Channel & Top Width and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Distance from Centroidal?
In this formula, Distance from Centroidal uses Specific Force in OCF, Cross-Sectional Area of Channel & Top Width. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Distance from Centroidal = (Specific Force in OCF-(Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g])))/Cross-Sectional Area of Channel
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