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Distance in Y Direction from Crest of Weir Formula

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

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

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

Distance in Y Direction from Crest of Weir Example

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Here is how the Distance in Y Direction from Crest of Weir equation looks like with Values.

Here is how the Distance in Y Direction from Crest of Weir equation looks like with Units.

Here is how the Distance in Y Direction from Crest of Weir equation looks like.

2.1098 = {(\frac{2 \cdot 2 \cdot 10}{0.66 \cdot 3.1416 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{2}

2.1098m = {(\frac{2 \cdot 2m \cdot 10m/s}{0.66 \cdot 3.1416 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²}})}^{2}

2.1098 = {(\frac{2 \cdot 2 \cdot 10}{0.66 \cdot 3.1416 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{2}

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Distance in Y Direction from Crest of Weir Solution

Follow our step by step solution on how to calculate Distance in Y Direction from Crest of Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

y = {(\frac{2 \cdot 2m \cdot 10m/s}{0.66 \cdot π \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²}})}^{2}

Next Step Substitute values of Constants

∴

y = {(\frac{2 \cdot 2m \cdot 10m/s}{0.66 \cdot 3.1416 \cdot 3m \cdot \sqrt{2 \cdot 9.8m/s²}})}^{2}

Next Step Prepare to Evaluate

∴

y = {(\frac{2 \cdot 2 \cdot 10}{0.66 \cdot 3.1416 \cdot 3 \cdot \sqrt{2 \cdot 9.8}})}^{2}

Next Step Evaluate

∴

y = 2.10976355270574m

LAST Step Rounding Answer

∴

y = 2.1098m

Distance in Y Direction from Crest of Weir Formula Elements

Variables

Constants

Functions

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

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

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

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

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

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 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 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 Distance in Y Direction from Crest of Weir?

Distance in Y Direction from Crest of Weir evaluator uses Distance in y Direction = ((2*Channel Width*Horizontal Flow Velocity)/(Coefficient of Discharge*pi*Distance in x Direction*sqrt(2*Acceleration due to Gravity)))^2 to evaluate the Distance in y Direction, The Distance in Y Direction from Crest of Weir formula is defined as the distance in y direction from the crest of the weir when we have prior information of other parameters. Distance in y Direction is denoted by y symbol.

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

FAQs on Distance in Y Direction from Crest of Weir

What is the formula to find Distance in Y Direction from Crest of Weir?

The formula of Distance in Y Direction from Crest of Weir is expressed as Distance in y Direction = ((2*Channel Width*Horizontal Flow Velocity)/(Coefficient of Discharge*pi*Distance in x Direction*sqrt(2*Acceleration due to Gravity)))^2. Here is an example- 2.109764 = ((2*2*10)/(0.66*pi*3*sqrt(2*9.8)))^2.

How to calculate Distance in Y Direction from Crest of Weir?

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

Can the Distance in Y Direction from Crest of Weir be negative?

No, the Distance in Y Direction from Crest of Weir, measured in Length cannot be negative.

Which unit is used to measure Distance in Y Direction from Crest of Weir?

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

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Distance in Y Direction from Crest of Weir Formula

Distance in Y Direction from Crest of Weir Example

Distance in Y Direction from Crest of Weir Solution

Distance in Y Direction from Crest of Weir Formula Elements

Other formulas in Design of Proportioning Flow Weir category

How to Evaluate Distance in Y Direction from Crest of Weir?

FAQs on Distance in Y Direction from Crest of Weir

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