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National Institute of Technology (NIT), Warangal
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## Discharge Over the Weir(Q) Solution

STEP 0: Pre-Calculation Summary
Formula Used
discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2)
Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
coefficient of discharge rectangular- The coefficient of discharge rectangular portion is considered in discharge through the trapezoidal notch.
Acceleration Due To Gravity - The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force. (Measured in Meter per Square Second)
Length - Length is the measurement or extent of something from end to end. (Measured in Meter)
Head - Head is defined as the height of water columns (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
coefficient of discharge rectangular: 0.63 --> No Conversion Required
Acceleration Due To Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Length: 3 Meter --> 3 Meter No Conversion Required
Head: 1 Meter --> 1 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2) --> (2/3)*0.63*sqrt(2*9.8)*3*1^(3/2)
Evaluating ... ...
Q = 5.57825779253702
STEP 3: Convert Result to Output's Unit
5.57825779253702 Meter³ per Second --> No Conversion Required
FINAL ANSWER
5.57825779253702 Meter³ per Second <-- Discharge
(Calculation completed in 00.047 seconds)

## < 11 Other formulas that you can solve using the same Inputs

Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
Magnetic Flux
magnetic_flux = Magnetic Field*Length*Breadth*cos(θ) Go
Area of a Rectangle when length and diagonal are given
area = Length*(sqrt((Diagonal)^2-(Length)^2)) Go
Potential Energy
potential_energy = Mass*Acceleration Due To Gravity*Height Go
Pressure when density and height are given
pressure = Density*Acceleration Due To Gravity*Height Go
Diagonal of a Rectangle when length and breadth are given
diagonal = sqrt(Length^2+Breadth^2) Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Strain
strain = Change In Length/Length Go
Surface Tension
surface_tension = Force/Length Go
Perimeter of a rectangle when length and width are given
perimeter = 2*Length+2*Width Go
Area of a Rectangle when length and breadth are given
area = Length*Breadth Go

## < 11 Other formulas that calculate the same Output

Discharge with velocity of approach
discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5)) Go
Discharge over a broad-crested weir for head of liquid at middle
discharge = coefficient of discharging*Length*sqrt((2*[g])*((head of the liquid*head of liquid middle^2)-(head of liquid middle^3))) Go
Discharge over rectangle weir for Bazin's formula with velocity approach
discharge = (0.405+(0.003/(head of the liquid+head due to Va)))*Length*sqrt(2*[g])*((head of the liquid+head due to Va)^1.5) Go
Discharge over rectangle weir with two end contractions
discharge = (2/3)*coefficient of discharging*(Length-(0.2*head of the liquid))*sqrt(2*[g])*(head of the liquid^1.5) Go
Discharge without velocity of approach
discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(initial height of liquid^1.5) Go
Discharge over rectangle weir considering Bazin's formula
discharge = (0.405+(0.003/head of the liquid))*Length*sqrt(2*[g])*((head of the liquid)^1.5) Go
Discharge over rectangle weir considering Francis's formula
discharge = 1.84*Length*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5)) Go
Discharge from Manning's equation
discharge = (1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2 Go
Discharge over a broad-crested weir
discharge = 1.705*coefficient of discharging*Length*(head of the liquid^1.5) Go
Discharge during retraction
discharge = Velocity*(Area of piston-Area of piston rod) Go
Discharge during extension
discharge = Velocity*Area of piston Go

### Discharge Over the Weir(Q) Formula

discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2)
Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2)

## What is Coefficient of Discharge?

Discharge Coefficient is the ratio of actual discharge through a nozzle or orifice to the theoretical discharge.

## How to Calculate Discharge Over the Weir(Q)?

Discharge Over the Weir(Q) calculator uses discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2) to calculate the Discharge, The Discharge Over the Weir(Q) is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass. Discharge and is denoted by Q symbol.

How to calculate Discharge Over the Weir(Q) using this online calculator? To use this online calculator for Discharge Over the Weir(Q), enter coefficient of discharge rectangular (C d1), Acceleration Due To Gravity (g), Length (l) and Head (H) and hit the calculate button. Here is how the Discharge Over the Weir(Q) calculation can be explained with given input values -> 5.578258 = (2/3)*0.63*sqrt(2*9.8)*3*1^(3/2).

### FAQ

What is Discharge Over the Weir(Q)?
The Discharge Over the Weir(Q) is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass and is represented as Q = (2/3)*C d1*sqrt(2*g)*l*H^(3/2) or discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2). The coefficient of discharge rectangular portion is considered in discharge through the trapezoidal notch, The Acceleration Due To Gravity is acceleration gained by an object because of gravitational force, Length is the measurement or extent of something from end to end and Head is defined as the height of water columns.
How to calculate Discharge Over the Weir(Q)?
The Discharge Over the Weir(Q) is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass is calculated using discharge = (2/3)*coefficient of discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length*Head^(3/2). To calculate Discharge Over the Weir(Q), you need coefficient of discharge rectangular (C d1), Acceleration Due To Gravity (g), Length (l) and Head (H). With our tool, you need to enter the respective value for coefficient of discharge rectangular, Acceleration Due To Gravity, Length and Head and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Discharge?
In this formula, Discharge uses coefficient of discharge rectangular, Acceleration Due To Gravity, Length and Head. We can use 11 other way(s) to calculate the same, which is/are as follows -
• discharge = Velocity*Area of piston
• discharge = Velocity*(Area of piston-Area of piston rod)
• discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5))
• discharge = (2/3)*coefficient of discharging*Length*sqrt(2*[g])*(initial height of liquid^1.5)
• discharge = (1/Manning’s Roughness Coefficient)*Cross sectional area*hydraulic radius^2/3*Bed Slope^1/2
• discharge = 1.84*Length*(((initial height of liquid+final height of liquid)^1.5)-(final height of liquid^1.5))
• discharge = (0.405+(0.003/head of the liquid))*Length*sqrt(2*[g])*((head of the liquid)^1.5)
• discharge = (0.405+(0.003/(head of the liquid+head due to Va)))*Length*sqrt(2*[g])*((head of the liquid+head due to Va)^1.5)
• discharge = (2/3)*coefficient of discharging*(Length-(0.2*head of the liquid))*sqrt(2*[g])*(head of the liquid^1.5)
• discharge = 1.705*coefficient of discharging*Length*(head of the liquid^1.5)
• discharge = coefficient of discharging*Length*sqrt((2*[g])*((head of the liquid*head of liquid middle^2)-(head of liquid middle^3))) Let Others Know
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