Distance in Y Direction from Crest of Weir Calculator

✖Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow.ⓘ Channel Width [W_c]			+10% -10%
✖Horizontal Flow Velocity is the velocity for which the weir is designed.ⓘ Horizontal Flow Velocity [V_h]			+10% -10%
✖Coefficient of Discharge is ratio of actual discharge to theoretical discharge.ⓘ Coefficient of Discharge [C_d]			+10% -10%
✖Distance in x Direction is the direction measured from center of weir towards x direction.ⓘ Distance in x Direction [x]			+10% -10%
✖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.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Distance in y Direction is length measured from crest of weir towards y direction.ⓘ Distance in Y Direction from Crest of Weir [y]

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Distance in Y Direction from Crest of Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
y = ((2*W_c*V_h)/(C_d*pi*x*sqrt(2*g)))^2
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., sqrt(Number)

Variables Used

Distance in y Direction - (Measured in Meter) - Distance in y Direction is length measured from crest of weir towards y direction.
Channel Width - (Measured in Meter) - Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow.
Horizontal Flow Velocity - (Measured in Meter per Second) - Horizontal Flow Velocity is the velocity for which the weir is designed.
Coefficient of Discharge - Coefficient of Discharge is ratio of actual discharge to theoretical discharge.
Distance in x Direction - (Measured in Meter) - Distance in x Direction is the direction measured from center of weir towards x direction.
Acceleration due to Gravity - (Measured in Meter per Square Second) - 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.

STEP 1: Convert Input(s) to Base Unit

Channel Width: 2 Meter --> 2 Meter No Conversion Required
Horizontal Flow Velocity: 10 Meter per Second --> 10 Meter per Second No Conversion Required
Coefficient of Discharge: 0.66 --> No Conversion Required
Distance in x Direction: 3 Meter --> 3 Meter No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

y = ((2*W_c*V_h)/(C_d*pi*x*sqrt(2*g)))^2 --> ((2*2*10)/(0.66*pi*3*sqrt(2*9.8)))^2

Evaluating ... ...

y = 2.10976355270574

STEP 3: Convert Result to Output's Unit

2.10976355270574 Meter --> No Conversion Required

FINAL ANSWER

2.10976355270574 ≈ 2.109764 Meter <-- Distance in y Direction

(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< Design of Proportioning Flow Weir Calculators

Distance in Y Direction from Crest of Weir

LaTeX Go 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

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

LaTeX Go Horizontal Flow Velocity = Distance in x Direction/((2*Channel Width)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction)))

Distance in X Direction from Center of Weir

LaTeX Go Distance in x Direction = ((2*Channel Width*Horizontal Flow Velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction)))

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

LaTeX Go Width = Distance in x Direction/((2*Horizontal Flow Velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y Direction)))

Distance in Y Direction from Crest of Weir Formula

LaTeX Go

What is Horizontal Velocity ?

The horizontal velocity of a motion problem deals with motion in the x direction; that is, side to side, not up and down. Gravity, for example, acts only in the vertical direction and doesn't affect horizontal motion directly. Horizontal velocity comes from forces that act in the x-axis.

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

Distance in Y Direction from Crest of Weir calculator 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 calculate 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 calculate Distance in Y Direction from Crest of Weir using this online calculator? To use this online calculator 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. Here is how the Distance in Y Direction from Crest of Weir calculation can be explained with given input values -> 2.109764 = ((2*2*10)/(0.66*pi*3*sqrt(2*9.8)))^2.

FAQ

What is Distance in Y Direction from Crest of Weir?

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 and is represented as y = ((2*W_c*V_h)/(C_d*pi*x*sqrt(2*g)))^2 or 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. Channel Width is the horizontal distance between the banks of a channel, measured at right angles to the direction of flow, Horizontal Flow Velocity is the velocity for which the weir is designed, Coefficient of Discharge is ratio of actual discharge to theoretical discharge, Distance in x Direction is the direction measured from center of weir towards x direction & 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.

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

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 is calculated using 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 calculate Distance in Y Direction from Crest of Weir, you need Channel Width (W_c), Horizontal Flow Velocity (V_h), Coefficient of Discharge (C_d), Distance in x Direction (x) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Channel Width, Horizontal Flow Velocity, Coefficient of Discharge, Distance in x Direction & Acceleration due to Gravity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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