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Vertical Depth of Centroid of Area given Specific Force Formula

GoVertical Depth of Centroid of Area given Specific Force with Top Width 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 - (Q \cdot \frac{Q}{A cs \cdot [g]})}{A cs}

Y_t - Distance from Centroidal?F - Specific Force in OCF?Q - Discharge of Channel?A_cs - Cross-Sectional Area of Channel?[g] - Gravitational acceleration on Earth?

Vertical Depth of Centroid of Area given Specific Force Example

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

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

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

27.2445 = \frac{410 - (14 \cdot \frac{14}{15 \cdot 9.8066})}{15}

27.2445m = \frac{410m³ - (14m³/s \cdot \frac{14m³/s}{15m² \cdot 9.8066m/s²})}{15m²}

27.2445 = \frac{410 - (14 \cdot \frac{14}{15 \cdot 9.8066})}{15}

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Vertical Depth of Centroid of Area given Specific Force Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Y t = \frac{410m³ - (14m³/s \cdot \frac{14m³/s}{15m² \cdot [g]})}{15m²}

Next Step Substitute values of Constants

∴

Y t = \frac{410m³ - (14m³/s \cdot \frac{14m³/s}{15m² \cdot 9.8066m/s²})}{15m²}

Next Step Prepare to Evaluate

∴

Y t = \frac{410 - (14 \cdot \frac{14}{15 \cdot 9.8066})}{15}

Next Step Evaluate

∴

Y t = 27.2445047210028m

LAST Step Rounding Answer

∴

Y t = 27.2445m

Vertical Depth of Centroid of Area given Specific Force Formula Elements

Variables

Constants

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

Discharge of Channel

Discharge of Channel is the rate of flow of a liquid.

Symbol: Q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Channel

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

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

Other Formulas to find Distance from Centroidal

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

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

Vertical Depth of Centroid of Area given Specific Force evaluator uses Distance from Centroidal = (Specific Force in OCF-(Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g])))/Cross-Sectional Area of Channel to evaluate the Distance from Centroidal, The Vertical Depth of Centroid of Area given Specific Force 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 using this online evaluator? To use this online evaluator for Vertical Depth of Centroid of Area given Specific Force, enter Specific Force in OCF (F), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs) and hit the calculate button.

FAQs on Vertical Depth of Centroid of Area given Specific Force

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

The formula of Vertical Depth of Centroid of Area given Specific Force is expressed as Distance from Centroidal = (Specific Force in OCF-(Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g])))/Cross-Sectional Area of Channel. Here is an example- 118.8593 = (410-(14*14/(15*[g])))/15.

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

With Specific Force in OCF (F), Discharge of Channel (Q) & Cross-Sectional Area of Channel (A_cs) we can find Vertical Depth of Centroid of Area given Specific Force using the formula - Distance from Centroidal = (Specific Force in OCF-(Discharge of Channel*Discharge of Channel/(Cross-Sectional Area of Channel*[g])))/Cross-Sectional Area of Channel. This formula also uses Gravitational acceleration on Earth constant(s).

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-(Cross-Sectional Area of Channel^2/(Top Width)))/Cross-Sectional Area of Channel

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

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

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

Vertical Depth of Centroid of Area given Specific Force 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 can be measured.

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Vertical Depth of Centroid of Area given Specific Force Formula

​GoVertical Depth of Centroid of Area given Specific Force with Top Width Formula

Vertical Depth of Centroid of Area given Specific Force Example

Vertical Depth of Centroid of Area given Specific Force Solution

Vertical Depth of Centroid of Area given Specific Force 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?

FAQs on Vertical Depth of Centroid of Area given Specific Force

Variable Name

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