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The Length of Weir is the of the base of weir through which discharge is taking place. Check FAQs
Lw=Q1.705Cdla32
Lw - Length of Weir?Q - Discharge Weir?Cd - Coefficient of Discharge?la - Arc Length of Circle?

Length of Weir for Discharge over Broad-Crested Weir Example

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With units
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Here is how the Length of Weir for Discharge over Broad-Crested Weir equation looks like with Values.

Here is how the Length of Weir for Discharge over Broad-Crested Weir equation looks like with Units.

Here is how the Length of Weir for Discharge over Broad-Crested Weir equation looks like.

0.5048Edit=40Edit1.7050.8Edit15Edit32
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Length of Weir for Discharge over Broad-Crested Weir Solution

Follow our step by step solution on how to calculate Length of Weir for Discharge over Broad-Crested Weir?

FIRST Step Consider the formula
Lw=Q1.705Cdla32
Next Step Substitute values of Variables
Lw=40m³/s1.7050.815m32
Next Step Prepare to Evaluate
Lw=401.7050.81532
Next Step Evaluate
Lw=0.504787663239807m
LAST Step Rounding Answer
Lw=0.5048m

Length of Weir for Discharge over Broad-Crested Weir Formula Elements

Variables
Length of Weir
The Length of Weir is the of the base of weir through which discharge is taking place.
Symbol: Lw
Measurement: LengthUnit: m
Note: Value can be positive or negative.
Discharge Weir
Discharge Weir is the rate of flow of a liquid.
Symbol: Q
Measurement: Volumetric Flow RateUnit: m³/s
Note: Value can be positive or negative.
Coefficient of Discharge
The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.
Symbol: Cd
Measurement: NAUnit: Unitless
Note: Value should be greater than 0.
Arc Length of Circle
Arc Length of Circle is the length of a piece of curve cut from the circumference of the Circle at particular central angle.
Symbol: la
Measurement: LengthUnit: m
Note: Value should be greater than 0.

Other Formulas to find Length of Weir

​Go Length of Section for Discharge over Rectangle Notch or Weir
Lw=Qth23Cd2[g]la32
​Go Length of Crest of Weir or Notch
Lw=3ACdta2[g](1Hf-1Hi)
​Go Length of Weir or Notch for Velocity of Approach
Lw=Q23Cd2[g]((Hi+Hf)32-Hf32)
​Go Length of Weir or Notch without Velocity of Approach
Lw=Q23Cd2[g]Hi32

Other formulas in Geometric DImension category

​Go Length of Weir Considering Bazin's formula without Velocity of Approach
Ln=Q0.405+0.003la2[g]la32
​Go Length of Weir Considering Bazin's formula with Velocity of Approach
Ln=Q0.405+0.003la+ha2[g](la+ha)32

How to Evaluate Length of Weir for Discharge over Broad-Crested Weir?

Length of Weir for Discharge over Broad-Crested Weir evaluator uses Length of Weir = Discharge Weir/(1.705*Coefficient of Discharge*Arc Length of Circle^(3/2)) to evaluate the Length of Weir, Length of Weir for Discharge over Broad-Crested Weir refers to the horizontal distance along the crest of the weir. It is an important parameter in calculating the discharge over a weir. Length of Weir is denoted by Lw symbol.

How to evaluate Length of Weir for Discharge over Broad-Crested Weir using this online evaluator? To use this online evaluator for Length of Weir for Discharge over Broad-Crested Weir, enter Discharge Weir (Q), Coefficient of Discharge (Cd) & Arc Length of Circle (la) and hit the calculate button.

FAQs on Length of Weir for Discharge over Broad-Crested Weir

What is the formula to find Length of Weir for Discharge over Broad-Crested Weir?
The formula of Length of Weir for Discharge over Broad-Crested Weir is expressed as Length of Weir = Discharge Weir/(1.705*Coefficient of Discharge*Arc Length of Circle^(3/2)). Here is an example- 0.504788 = 40/(1.705*0.8*15^(3/2)).
How to calculate Length of Weir for Discharge over Broad-Crested Weir?
With Discharge Weir (Q), Coefficient of Discharge (Cd) & Arc Length of Circle (la) we can find Length of Weir for Discharge over Broad-Crested Weir using the formula - Length of Weir = Discharge Weir/(1.705*Coefficient of Discharge*Arc Length of Circle^(3/2)).
What are the other ways to Calculate Length of Weir?
Here are the different ways to Calculate Length of Weir-
  • Length of Weir=Theoretical Discharge/(2/3*Coefficient of Discharge*sqrt(2*[g])*Arc Length of Circle^(3/2))OpenImg
  • Length of Weir=(3*Area of Weir)/(Coefficient of Discharge*Total Time Taken*sqrt(2*[g]))*(1/sqrt(Final Height of Liquid)-1/sqrt(Initial Height of Liquid))OpenImg
  • Length of Weir=Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*((Initial Height of Liquid+Final Height of Liquid)^(3/2)-Final Height of Liquid^(3/2)))OpenImg
Can the Length of Weir for Discharge over Broad-Crested Weir be negative?
Yes, the Length of Weir for Discharge over Broad-Crested Weir, measured in Length can be negative.
Which unit is used to measure Length of Weir for Discharge over Broad-Crested Weir?
Length of Weir for Discharge over Broad-Crested Weir is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Length of Weir for Discharge over Broad-Crested Weir can be measured.
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