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Length of Crest given Discharge for Cipolletti Weir Formula

GoLength of Crest given Discharge over Cipolletti Weir by Francis, Cipolletti Formula

GoLength of Crest when Discharge for Cipolletti Weir and Velocity is Considered Formula

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Length of Weir Crest is the measurement or extent of Weir Crest from end to end. Check FAQs

L w = \frac{3 \cdot Q C}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot {S w}^{\frac{3}{2}}}

L_w - Length of Weir Crest?Q_C - Discharge by Cipolletti?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?S_w - Height of Water above Crest of Weir?

Length of Crest given Discharge for Cipolletti Weir Example

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Here is how the Length of Crest given Discharge for Cipolletti Weir equation looks like with Values.

Here is how the Length of Crest given Discharge for Cipolletti Weir equation looks like with Units.

Here is how the Length of Crest given Discharge for Cipolletti Weir equation looks like.

2.7225 = \frac{3 \cdot 15}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 2^{\frac{3}{2}}}

2.7225m = \frac{3 \cdot 15m³/s}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot {2m}^{\frac{3}{2}}}

2.7225 = \frac{3 \cdot 15}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 2^{\frac{3}{2}}}

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Length of Crest given Discharge for Cipolletti Weir Solution

Follow our step by step solution on how to calculate Length of Crest given Discharge for Cipolletti Weir?

FIRST Step Consider the formula

L w = \frac{3 \cdot Q C}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot {S w}^{\frac{3}{2}}}

Next Step Substitute values of Variables

∴

L w = \frac{3 \cdot 15m³/s}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot {2m}^{\frac{3}{2}}}

Next Step Prepare to Evaluate

∴

L w = \frac{3 \cdot 15}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 2^{\frac{3}{2}}}

Next Step Evaluate

∴

L w = 2.72248536221565m

LAST Step Rounding Answer

∴

L w = 2.7225m

Length of Crest given Discharge for Cipolletti Weir Formula Elements

Variables

Functions

Length of Weir Crest

Length of Weir Crest is the measurement or extent of Weir Crest from end to end.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Weir Crest

Discharge by Cipolletti

Discharge by Cipolletti is the rate of flow of a liquid.

Symbol: Q_C

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge by Cipolletti

Coefficient of Discharge

The Coefficient of Discharge is ratio of actual discharge to theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.2.

Formulas to find Coefficient of Discharge

Acceleration due to Gravity

The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration due to Gravity

Height of Water above Crest of Weir

Height of Water above Crest of Weir is defined as the water surface height above crest.

Symbol: S_w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Water above Crest of Weir

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.

Syntax: sqrt(Number)

Other Formulas to find Length of Weir Crest

Go Length of Crest given Discharge over Cipolletti Weir by Francis, Cipolletti

L w = \frac{Q C}{1.86 \cdot {S w}^{\frac{3}{2}}}

Go Length of Crest when Discharge for Cipolletti Weir and Velocity is Considered

L w = \frac{Q C}{1.86 \cdot ({H Stillwater}^{\frac{3}{2}} - {H V}^{\frac{3}{2}})}

Other formulas in Flow Over a Trapizoidal Weir or Notch category

Go Discharge over Trapezoidal Notch if overall Coefficient of Discharge for Trapezoidal notch

Q C = ((C d \cdot \sqrt{2 \cdot g} \cdot {S w}^{\frac{3}{2}}) \cdot ((\frac{2}{3}) \cdot L w + (\frac{8}{15}) \cdot S w \cdot \tan (\frac{θ}{2})))

Go Discharge for Cipolletti Weir

Q C = (\frac{2}{3}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w \cdot {S w}^{\frac{3}{2}}

Go Coefficient of Discharge given Discharge for Cipolletti Weir

C d = \frac{Q C \cdot 3}{2 \cdot \sqrt{2 \cdot g} \cdot L w \cdot {S w}^{\frac{3}{2}}}

Go Head given Discharge for Cipolletti Weir

S w = {(\frac{3 \cdot Q C}{2 \cdot C d \cdot \sqrt{2 \cdot g} \cdot L w})}^{\frac{2}{3}}

How to Evaluate Length of Crest given Discharge for Cipolletti Weir?

Length of Crest given Discharge for Cipolletti Weir evaluator uses Length of Weir Crest = (3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2)) to evaluate the Length of Weir Crest, Length of crest given discharge for Cipolletti weir as it applies to area of reclamation can be defined as distance, measured along axis. Length of Weir Crest is denoted by L_w symbol.

How to evaluate Length of Crest given Discharge for Cipolletti Weir using this online evaluator? To use this online evaluator for Length of Crest given Discharge for Cipolletti Weir, enter Discharge by Cipolletti (Q_C), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Height of Water above Crest of Weir (S_w) and hit the calculate button.

FAQs on Length of Crest given Discharge for Cipolletti Weir

What is the formula to find Length of Crest given Discharge for Cipolletti Weir?

The formula of Length of Crest given Discharge for Cipolletti Weir is expressed as Length of Weir Crest = (3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2)). Here is an example- 2.722485 = (3*15)/(2*0.66*sqrt(2*9.8)*2^(3/2)).

How to calculate Length of Crest given Discharge for Cipolletti Weir?

With Discharge by Cipolletti (Q_C), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Height of Water above Crest of Weir (S_w) we can find Length of Crest given Discharge for Cipolletti Weir using the formula - Length of Weir Crest = (3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Height of Water above Crest of Weir^(3/2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Weir Crest?

Here are the different ways to Calculate Length of Weir Crest-

Length of Weir Crest=Discharge by Cipolletti/(1.86*Height of Water above Crest of Weir^(3/2))
Length of Weir Crest=Discharge by Cipolletti/(1.86*(Still Water Head^(3/2)-Velocity Head^(3/2)))

Can the Length of Crest given Discharge for Cipolletti Weir be negative?

No, the Length of Crest given Discharge for Cipolletti Weir, measured in Length cannot be negative.

Which unit is used to measure Length of Crest given Discharge for Cipolletti Weir?

Length of Crest given Discharge for Cipolletti 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 Crest given Discharge for Cipolletti Weir can be measured.

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Length of Crest given Discharge for Cipolletti Weir Formula

​GoLength of Crest given Discharge over Cipolletti Weir by Francis, Cipolletti Formula

​GoLength of Crest when Discharge for Cipolletti Weir and Velocity is Considered Formula

Length of Crest given Discharge for Cipolletti Weir Example

Length of Crest given Discharge for Cipolletti Weir Solution

Length of Crest given Discharge for Cipolletti Weir Formula Elements

Other Formulas to find Length of Weir Crest

Other formulas in Flow Over a Trapizoidal Weir or Notch category

How to Evaluate Length of Crest given Discharge for Cipolletti Weir?

FAQs on Length of Crest given Discharge for Cipolletti Weir

Variable Name

GoLength of Crest given Discharge over Cipolletti Weir by Francis, Cipolletti Formula

GoLength of Crest when Discharge for Cipolletti Weir and Velocity is Considered Formula