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

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Width is the measurement or extent of something from side to side. Check FAQs

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

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

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

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Here is how the Width of Channel given Distance in X Direction from Center of Weir equation looks like with Values.

Here is how the Width of Channel given Distance in X Direction from Center of Weir equation looks like with Units.

Here is how the Width of Channel given Distance in X Direction from Center of Weir equation looks like.

1.9473 = \frac{3}{\frac{2 \cdot 10}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}}}

1.9473m = \frac{3m}{\frac{2 \cdot 10m/s}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}}}

1.9473 = \frac{3}{\frac{2 \cdot 10}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}}}

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

Follow our step by step solution on how to calculate Width of Channel given Distance in X Direction from Center of Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w = \frac{3m}{\frac{2 \cdot 10m/s}{0.66 \cdot π \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}}}

Next Step Substitute values of Constants

∴

w = \frac{3m}{\frac{2 \cdot 10m/s}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8m/s² \cdot 2m}}}

Next Step Prepare to Evaluate

∴

w = \frac{3}{\frac{2 \cdot 10}{0.66 \cdot 3.1416 \cdot \sqrt{2 \cdot 9.8 \cdot 2}}}

Next Step Evaluate

∴

w = 1.94727864344449m

LAST Step Rounding Answer

∴

w = 1.9473m

Width of Channel given Distance in X Direction from Center of Weir Formula Elements

Variables

Constants

Functions

Width

Width is the measurement or extent of something from side to side.

Symbol: w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width

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

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

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

V h = \frac{x}{\frac{2 \cdot W c}{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 Width of Channel given Distance in X Direction from Center of Weir?

Width of Channel given Distance in X Direction from Center of Weir evaluator uses Width = Distance in x Direction/((2*Horizontal Flow Velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))) to evaluate the Width, The Width of Channel given Distance in X Direction from Center of Weir formula is defined as a parameter used to determine the horizontal distance from the centerline of a weir to a specific point along the channel. The width of the channel at a given distance in the x direction is essential for understanding the flow distribution and hydraulic behavior of the channel around the weir. Width is denoted by w symbol.

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

FAQs on Width of Channel given Distance in X Direction from Center of Weir

What is the formula to find Width of Channel given Distance in X Direction from Center of Weir?

The formula of Width of Channel given Distance in X Direction from Center of Weir is expressed as Width = Distance in x Direction/((2*Horizontal Flow Velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction))). Here is an example- 1.947279 = 3/((2*10)/(0.66*pi*sqrt(2*9.8*2))).

How to calculate Width of Channel given Distance in X Direction from Center of Weir?

With Distance in x Direction (x), Horizontal Flow Velocity (V_h), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Distance in y Direction (y) we can find Width of Channel given Distance in X Direction from Center of Weir using the formula - Width = Distance in x Direction/((2*Horizontal Flow Velocity)/(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).

Can the Width of Channel given Distance in X Direction from Center of Weir be negative?

Yes, the Width of Channel given Distance in X Direction from Center of Weir, measured in Length can be negative.

Which unit is used to measure Width of Channel given Distance in X Direction from Center of Weir?

Width of Channel given Distance in X Direction from Center of Weir is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Width of Channel given Distance in X Direction from Center of Weir can be measured.

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

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

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

Width of Channel given Distance in X Direction from Center of Weir Formula Elements

Other formulas in Design of Proportioning Flow Weir category

How to Evaluate Width of Channel given Distance in X Direction from Center of Weir?

FAQs on Width of Channel given Distance in X Direction from Center of Weir

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