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Head (H) Over the Crest when Discharge Over the Weir(Q) is given Solution

STEP 0: Pre-Calculation Summary
Formula Used
head = ((Discharge*3)/(2*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length))^(2/3)
H = ((Q*3)/(2*C d1*sqrt(2*g)*l))^(2/3)
This formula uses 1 Functions, 4 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Discharge - Discharge is the rate of flow of a liquid (Measured in Meter³ per Second)
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)
STEP 1: Convert Input(s) to Base Unit
Discharge: 1 Meter³ per Second --> 1 Meter³ per Second No Conversion Required
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
STEP 2: Evaluate Formula
Substituting Input Values in Formula
H = ((Q*3)/(2*C d1*sqrt(2*g)*l))^(2/3) --> ((1*3)/(2*0.63*sqrt(2*9.8)*3))^(2/3)
Evaluating ... ...
H = 0.317932027392539
STEP 3: Convert Result to Output's Unit
0.317932027392539 Meter --> No Conversion Required
FINAL ANSWER
0.317932027392539 Meter <-- Head
(Calculation completed in 00.032 seconds)

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11 Other formulas that calculate the same Output

Equation for Head
head = sqrt(((-Natural Recharge*Flow in 'x' Direction^2)/Coefficient of permeability)-(((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2-((Natural Recharge*Length^2)/Coefficient of permeability))/Length)*Flow in 'x' Direction)+Piezometric Head at Upstream End^2) Go
Head (H) Over the Crest when Discharge (Q) if the Velocity not Considered is given
head = -((((Discharge*2)/(3*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)))^(2/3)) -Length)/(0.1*number of end contractions) Go
Head (H) Over the Crest when Discharge (Q) Passing Over the Weir is given
head = (((Discharge*3)/(2*Discharge coefficient *sqrt(2*Acceleration Due To Gravity)*Length))+additional head^(3/2))^(2/3)-additional head Go
Head available at the base of the nozzle
head = Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(flow velocity^2)/(Diameter of Pipe*2*[g])) Go
Water Table Profile neglecting the Depths of Water in the Drains
head = sqrt((Natural Recharge/Coefficient of permeability)*(Length-Flow in 'x' Direction)*Flow in 'x' Direction) Go
Equation for Head in Confined Groundwater Flow
head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length)*Flow in 'x' Direction Go
Head (H) when Energy through Hydraulic Turbines is given
head = (Energy through hydraulic turbines/ (9.81*Rate of flow*Efficiency *Time Period Of Progressive Wave))+Head loss Go
Head (H) when Amount of Hydropower is given
head = (Amount of hydropower/(9.81*Rate of flow*Efficiency ))+Head loss Go
Head of a turbine given specific speed
head = ((Speed*sqrt(Power))/Specific speed of a turbine)^(4/5) Go
Head of a pump given specific speed
head = (Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3) Go
Head when Discharge(Q) for the Notch which is to be Caliberated is given
head = (Discharge/Constant a)^(1/number of end contractions) Go

Head (H) Over the Crest when Discharge Over the Weir(Q) is given Formula

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

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 Head (H) Over the Crest when Discharge Over the Weir(Q) is given?

Head (H) Over the Crest when Discharge Over the Weir(Q) is given calculator uses head = ((Discharge*3)/(2*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length))^(2/3) to calculate the Head, The Head (H) Over the Crest when Discharge Over the Weir(Q) is given is a measure of the potential of fluid at the measurement point. . Head and is denoted by H symbol.

How to calculate Head (H) Over the Crest when Discharge Over the Weir(Q) is given using this online calculator? To use this online calculator for Head (H) Over the Crest when Discharge Over the Weir(Q) is given, enter Discharge (Q), coefficient of discharge rectangular (C d1), Acceleration Due To Gravity (g) and Length (l) and hit the calculate button. Here is how the Head (H) Over the Crest when Discharge Over the Weir(Q) is given calculation can be explained with given input values -> 0.317932 = ((1*3)/(2*0.63*sqrt(2*9.8)*3))^(2/3).

FAQ

What is Head (H) Over the Crest when Discharge Over the Weir(Q) is given?
The Head (H) Over the Crest when Discharge Over the Weir(Q) is given is a measure of the potential of fluid at the measurement point. and is represented as H = ((Q*3)/(2*C d1*sqrt(2*g)*l))^(2/3) or head = ((Discharge*3)/(2*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length))^(2/3). Discharge is the rate of flow of a liquid, 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 and Length is the measurement or extent of something from end to end.
How to calculate Head (H) Over the Crest when Discharge Over the Weir(Q) is given?
The Head (H) Over the Crest when Discharge Over the Weir(Q) is given is a measure of the potential of fluid at the measurement point. is calculated using head = ((Discharge*3)/(2*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)*Length))^(2/3). To calculate Head (H) Over the Crest when Discharge Over the Weir(Q) is given, you need Discharge (Q), coefficient of discharge rectangular (C d1), Acceleration Due To Gravity (g) and Length (l). With our tool, you need to enter the respective value for Discharge, coefficient of discharge rectangular, Acceleration Due To Gravity and Length 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 Head?
In this formula, Head uses Discharge, coefficient of discharge rectangular, Acceleration Due To Gravity and Length. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • head = (Speed*sqrt(Discharge)/Specific speed of a pump)^(4/3)
  • head = ((Speed*sqrt(Power))/Specific speed of a turbine)^(4/5)
  • head = Total Head at Entrance-(4*Coefficient of Friction*Length of Pipe*(flow velocity^2)/(Diameter of Pipe*2*[g]))
  • head = sqrt(((-Natural Recharge*Flow in 'x' Direction^2)/Coefficient of permeability)-(((Piezometric Head at Upstream End^2-Piezometric Head at Downstream End^2-((Natural Recharge*Length^2)/Coefficient of permeability))/Length)*Flow in 'x' Direction)+Piezometric Head at Upstream End^2)
  • head = sqrt((Natural Recharge/Coefficient of permeability)*(Length-Flow in 'x' Direction)*Flow in 'x' Direction)
  • head = Piezometric Head at Upstream End-((Piezometric Head at Upstream End-Piezometric Head at Downstream End)/Length)*Flow in 'x' Direction
  • head = (Amount of hydropower/(9.81*Rate of flow*Efficiency ))+Head loss
  • head = (Energy through hydraulic turbines/ (9.81*Rate of flow*Efficiency *Time Period Of Progressive Wave))+Head loss
  • head = (((Discharge*3)/(2*Discharge coefficient *sqrt(2*Acceleration Due To Gravity)*Length))+additional head^(3/2))^(2/3)-additional head
  • head = -((((Discharge*2)/(3*coefficient of Discharge rectangular*sqrt(2*Acceleration Due To Gravity)))^(2/3)) -Length)/(0.1*number of end contractions)
  • head = (Discharge/Constant a)^(1/number of end contractions)
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