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Horizontal Flow Velocity given Distance in X Direction from Center of Weir Formula

GoHorizontal Flow Velocity given Half Width of Bottom Portion of Weir Formula

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Horizontal Flow Velocity is the velocity for which the weir is designed. Check FAQs

V h = \frac{x}{\frac{2 \cdot W c}{C d \cdot π \cdot \sqrt{2 \cdot g \cdot y}}}

V_h - Horizontal Flow Velocity?x - Distance in x Direction?W_c - Channel Width?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?y - Distance in y Direction?π - Archimedes' constant?

Horizontal Flow Velocity given Distance in X Direction from Center of Weir Example

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Here is how the Horizontal Flow Velocity given Distance in X Direction from Center of Weir equation looks like with Values.

Here is how the Horizontal Flow Velocity given Distance in X Direction from Center of Weir equation looks like with Units.

Here is how the Horizontal Flow Velocity given Distance in X Direction from Center of Weir equation looks like.

9.7364 = \frac{3}{\frac{2 \cdot 2}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}}}

9.7364m/s = \frac{3m}{\frac{2 \cdot 2m}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}}}

9.7364 = \frac{3}{\frac{2 \cdot 2}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}}}

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Horizontal Flow Velocity given Distance in X Direction from Center of Weir Solution

Follow our step by step solution on how to calculate Horizontal Flow Velocity given Distance in X Direction from Center of Weir?

FIRST Step Consider the formula

V h = \frac{x}{\frac{2 \cdot W c}{C d \cdot π \cdot \sqrt{2 \cdot g \cdot y}}}

Next Step Substitute values of Variables

∴

V h = \frac{3m}{\frac{2 \cdot 2m}{0.66 \cdot π \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}}}

Next Step Substitute values of Constants

∴

V h = \frac{3m}{\frac{2 \cdot 2m}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}}}

Next Step Prepare to Evaluate

∴

V h = \frac{3}{\frac{2 \cdot 2}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}}}

Next Step Evaluate

∴

V h = 9.73639321722245m/s

LAST Step Rounding Answer

∴

V h = 9.7364m/s

Horizontal Flow Velocity given Distance in X Direction from Center of Weir Formula Elements

Variables

Constants

Functions

Horizontal Flow Velocity

Horizontal Flow Velocity is the velocity for which the weir is designed.

Symbol: V_h

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Horizontal Flow Velocity

Distance in x Direction

Distance in x Direction is the direction measured from center of weir towards x direction.

Symbol: x

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance in x Direction

Channel Width

Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow.

Symbol: W_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Channel Width

Coefficient of Discharge

Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

Acceleration due to Gravity is a fundamental physical constant that represents the acceleration of an object due to the force of gravity exerted by the Earth.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Distance in y Direction

Distance in y Direction is length measured from crest of weir towards y direction.

Symbol: y

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance in y Direction

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Horizontal Flow Velocity

Go Horizontal Flow Velocity given Half Width of Bottom Portion of Weir

V h = \frac{W h}{1.467 \cdot W c}

Other formulas in Design of Proportioning Flow Weir category

Go Distance in X Direction from Center of Weir

x = (\frac{2 \cdot W c \cdot V h}{C d \cdot π \cdot \sqrt{2 \cdot g \cdot y}})

Go Distance in Y Direction from Crest of Weir

y = {(\frac{2 \cdot W c \cdot V h}{C d \cdot π \cdot x \cdot \sqrt{2 \cdot g}})}^{2}

Go Width of Channel given Distance in X Direction from Center of Weir

w = \frac{x}{\frac{2 \cdot V h}{C d \cdot π \cdot \sqrt{2 \cdot g \cdot y}}}

Go Coefficient of Discharge given Distance in X Direction from Center of Weir

C d = (\frac{2 \cdot W c \cdot V h}{x \cdot π \cdot \sqrt{2 \cdot g \cdot y}})

How to Evaluate Horizontal Flow Velocity given Distance in X Direction from Center of Weir?

Horizontal Flow Velocity given Distance in X Direction from Center of Weir evaluator uses Horizontal Flow Velocity = Distance in x Direction/((2*Channel Width)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))) to evaluate the Horizontal Flow Velocity, The Horizontal Flow Velocity given Distance in X Direction from Center of Weir formula is defined as the velocity for which the weir is designed when we have prior information of other parameters. Horizontal Flow Velocity is denoted by V_h symbol.

How to evaluate Horizontal Flow Velocity given Distance in X Direction from Center of Weir using this online evaluator? To use this online evaluator for Horizontal Flow Velocity given Distance in X Direction from Center of Weir, enter Distance in x Direction (x), Channel Width (W_c), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Distance in y Direction (y) and hit the calculate button.

FAQs on Horizontal Flow Velocity given Distance in X Direction from Center of Weir

What is the formula to find Horizontal Flow Velocity given Distance in X Direction from Center of Weir?

The formula of Horizontal Flow Velocity given Distance in X Direction from Center of Weir is expressed as Horizontal Flow Velocity = Distance in x Direction/((2*Channel Width)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))). Here is an example- 9.736393 = 3/((2*2)/(0.66*pi*sqrt(2*9.8*2))).

How to calculate Horizontal Flow Velocity given Distance in X Direction from Center of Weir?

With Distance in x Direction (x), Channel Width (W_c), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Distance in y Direction (y) we can find Horizontal Flow Velocity given Distance in X Direction from Center of Weir using the formula - Horizontal Flow Velocity = Distance in x Direction/((2*Channel Width)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Horizontal Flow Velocity?

Here are the different ways to Calculate Horizontal Flow Velocity-

Horizontal Flow Velocity=Half Width of Bottom Portion of Weir/(1.467*Channel Width)

Can the Horizontal Flow Velocity given Distance in X Direction from Center of Weir be negative?

No, the Horizontal Flow Velocity given Distance in X Direction from Center of Weir, measured in Speed cannot be negative.

Which unit is used to measure Horizontal Flow Velocity given Distance in X Direction from Center of Weir?

Horizontal Flow Velocity given Distance in X Direction from Center of Weir is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Horizontal Flow Velocity given Distance in X Direction from Center of Weir can be measured.

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Horizontal Flow Velocity given Distance in X Direction from Center of Weir Formula

​GoHorizontal Flow Velocity given Half Width of Bottom Portion of Weir Formula

Horizontal Flow Velocity given Distance in X Direction from Center of Weir Example

Horizontal Flow Velocity given Distance in X Direction from Center of Weir Solution

Horizontal Flow Velocity given Distance in X Direction from Center of Weir Formula Elements

Other Formulas to find Horizontal Flow Velocity

Other formulas in Design of Proportioning Flow Weir category

How to Evaluate Horizontal Flow Velocity given Distance in X Direction from Center of Weir?

FAQs on Horizontal Flow Velocity given Distance in X Direction from Center of Weir

Variable Name

GoHorizontal Flow Velocity given Half Width of Bottom Portion of Weir Formula