Distance in X Direction from Center of Weir Calculator

✖Channel Width is the dimension of the channel of MOSFET.ⓘ 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%
✖Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖Distance in y direction is length measured fom crest of weir towards y direction.ⓘ Distance in y direction [y]			+10% -10%

✖Distance in x direction is the direction measured from centre of weir towards x direction.ⓘ Distance in X Direction from Center of Weir [x]

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Formula

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Distance in X Direction from Center of Weir

Formula

`"x" = ((2*"W"_{"c"}*"V"_{"h"})/("C"_{"d"}*pi*sqrt(2*"g"*"y")))`

Example

`"3.081223m"=((2*"2m"*"10m/s")/("0.66"*pi*sqrt(2*"9.8m/s²"*"2m")))`

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Distance in X Direction from Center of Weir Solution

STEP 0: Pre-Calculation Summary

Formula Used

Distance in x direction = ((2*Channel Width*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))
x = ((2*W_c*V_h)/(C_d*pi*sqrt(2*g*y)))
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 x direction - (Measured in Meter) - Distance in x direction is the direction measured from centre of weir towards x direction.
Channel Width - (Measured in Meter) - Channel Width is the dimension of the channel of MOSFET.
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.
Acceleration due to Gravity - (Measured in Meter per Square Second) - Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Distance in y direction - (Measured in Meter) - Distance in y direction is length measured fom crest of weir towards y direction.

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
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Distance in y direction: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

x = 3.08122313167609

STEP 3: Convert Result to Output's Unit

3.08122313167609 Meter --> No Conversion Required

FINAL ANSWER

3.08122313167609 ≈ 3.081223 Meter <-- Distance in x direction

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Environmental Engineering » Treatment of Sewage » Constant Velocity Horizontal Flow Grit Channels » Design of Proportioning Flow Weir » Distance in X Direction from Center of Weir

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Created by Suraj Kumar

Birsa Institute of Technology (BIT), Sindri

Suraj Kumar has created this Calculator and 2200+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

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< 8 Design of Proportioning Flow Weir Calculators

Distance in Y Direction from Crest of Weir

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

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)))

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

Go Coefficient of Discharge = ((2*Channel Width*Horizontal flow velocity)/(Distance in x direction*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))

Distance in X Direction from Center of Weir

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

Go Width = Distance in x direction/((2*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))

Horizontal Flow Velocity given Half Width of Bottom Portion of Weir

Go Horizontal flow velocity = Width/(1.467*Channel Width)

Width of Channel given Half Width of Bottom Portion of Weir

Go Channel Width = Width/(1.467*Horizontal flow velocity)

Half Width of Bottom Portion of Weir

Go Width = 1.467*Horizontal flow velocity*Channel Width

Distance in X Direction from Center of Weir Formula

Distance in x direction = ((2*Channel Width*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction)))
x = ((2*W_c*V_h)/(C_d*pi*sqrt(2*g*y)))

What is horizontal flow 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 X Direction from Center of Weir?

Distance in X Direction from Center of Weir calculator uses Distance in x direction = ((2*Channel Width*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction))) to calculate the Distance in x direction, The Distance in X Direction from Center of Weir calculates the distance from center of weir towards x direction when we have prior information of other parameters . Distance in x direction is denoted by x symbol.

How to calculate Distance in X Direction from Center of Weir using this online calculator? To use this online calculator for Distance in X Direction from Center of Weir, enter Channel Width (W_c), 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. Here is how the Distance in X Direction from Center of Weir calculation can be explained with given input values -> 3.081223 = ((2*2*10)/(0.66*pi*sqrt(2*9.8*2))).

FAQ

What is Distance in X Direction from Center of Weir?

The Distance in X Direction from Center of Weir calculates the distance from center of weir towards x direction when we have prior information of other parameters and is represented as x = ((2*W_c*V_h)/(C_d*pi*sqrt(2*g*y))) or Distance in x direction = ((2*Channel Width*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction))). Channel Width is the dimension of the channel of MOSFET, Horizontal flow velocity is the velocity for which the weir is designed, Coefficient of Discharge is ratio of actual discharge to theoretical discharge, Acceleration due to Gravity is acceleration gained by an object because of gravitational force & Distance in y direction is length measured fom crest of weir towards y direction.

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

The Distance in X Direction from Center of Weir calculates the distance from center of weir towards x direction when we have prior information of other parameters is calculated using Distance in x direction = ((2*Channel Width*Horizontal flow velocity)/(Coefficient of Discharge*pi*sqrt(2*Acceleration due to Gravity*Distance in y direction))). To calculate Distance in X Direction from Center of Weir, you need Channel Width (W_c), Horizontal flow velocity (V_h), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Distance in y direction (y). With our tool, you need to enter the respective value for Channel Width, Horizontal flow velocity, Coefficient of Discharge, Acceleration due to Gravity & Distance in y direction 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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