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

GoVertical Depth of Centroid of Area given Specific Force Formula

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Distance from Centroidal is the average distance between all points and the central point. Check FAQs

Y t = \frac{F - (\frac{{A cs}^{2}}{T})}{A cs}

Y_t - Distance from Centroidal?F - Specific Force in OCF?A_cs - Cross-Sectional Area of Channel?T - Top Width?

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

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Here is how the Vertical Depth of Centroid of Area given Specific Force with Top Width equation looks like with Values.

Here is how the Vertical Depth of Centroid of Area given Specific Force with Top Width equation looks like with Units.

Here is how the Vertical Depth of Centroid of Area given Specific Force with Top Width equation looks like.

20.1905 = \frac{410 - (\frac{15^{2}}{2.1})}{15}

20.1905m = \frac{410m³ - (\frac{{15m²}^{2}}{2.1m})}{15m²}

20.1905 = \frac{410 - (\frac{15^{2}}{2.1})}{15}

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

Follow our step by step solution on how to calculate Vertical Depth of Centroid of Area given Specific Force with Top Width?

FIRST Step Consider the formula

Y t = \frac{F - (\frac{{A cs}^{2}}{T})}{A cs}

Next Step Substitute values of Variables

∴

Y t = \frac{410m³ - (\frac{{15m²}^{2}}{2.1m})}{15m²}

Next Step Prepare to Evaluate

∴

Y t = \frac{410 - (\frac{15^{2}}{2.1})}{15}

Next Step Evaluate

∴

Y t = 20.1904761904762m

LAST Step Rounding Answer

∴

Y t = 20.1905m

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

Variables

Distance from Centroidal

Distance from Centroidal is the average distance between all points and the central point.

Symbol: Y_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Centroidal

Specific Force in OCF

Specific Force in OCF (open channel) is dependent on discharge and cross sectional area.

Symbol: F

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Specific Force in OCF

Cross-Sectional Area of Channel

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.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Channel

Top Width

Top Width is defined as the width at the top of the section.

Symbol: T

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Width

Other Formulas to find Distance from Centroidal

Go Vertical Depth of Centroid of Area given Specific Force

Y t = \frac{F - (Q \cdot \frac{Q}{A cs \cdot [g]})}{A cs}

Other formulas in Momentum in Open Channel Flow Specific Force category

Go Specific Force

F = (Q \cdot \frac{Q}{A cs \cdot [g]}) + A cs \cdot Y t

Go Specific Force given Top Width

F = (\frac{{A cs}^{2}}{T}) + A cs \cdot Y t

Go Top Width given Specific Force

T = \frac{{A cs}^{2}}{F - A cs \cdot Y t}

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

Vertical Depth of Centroid of Area given Specific Force with Top Width evaluator uses Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel to evaluate 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 Y_t symbol.

How to evaluate Vertical Depth of Centroid of Area given Specific Force with Top Width using this online evaluator? To use this online evaluator for Vertical Depth of Centroid of Area given Specific Force with Top Width, enter Specific Force in OCF (F), Cross-Sectional Area of Channel (A_cs) & Top Width (T) and hit the calculate button.

FAQs on Vertical Depth of Centroid of Area given Specific Force with Top Width

What is the formula to find Vertical Depth of Centroid of Area given Specific Force with Top Width?

The formula of Vertical Depth of Centroid of Area given Specific Force with Top Width is expressed as Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel. Here is an example- 118.9692 = (410-(15^2/(2.1)))/15.

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

With Specific Force in OCF (F), Cross-Sectional Area of Channel (A_cs) & Top Width (T) we can find Vertical Depth of Centroid of Area given Specific Force with Top Width using the formula - Distance from Centroidal = (Specific Force in OCF-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel.

What are the other ways to Calculate Distance from Centroidal?

Here are the different ways to Calculate Distance from Centroidal-

Distance from Centroidal=(Specific Force in OCF-(Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g])))/Cross-Sectional Area of Channel

Can the Vertical Depth of Centroid of Area given Specific Force with Top Width be negative?

No, the Vertical Depth of Centroid of Area given Specific Force with Top Width, measured in Length cannot be negative.

Which unit is used to measure Vertical Depth of Centroid of Area given Specific Force with Top Width?

Vertical Depth of Centroid of Area given Specific Force with Top Width is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Vertical Depth of Centroid of Area given Specific Force with Top Width can be measured.

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

​GoVertical Depth of Centroid of Area given Specific Force Formula

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

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

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

Other Formulas to find Distance from Centroidal

Other formulas in Momentum in Open Channel Flow Specific Force category

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

FAQs on Vertical Depth of Centroid of Area given Specific Force with Top Width

Variable Name

GoVertical Depth of Centroid of Area given Specific Force Formula