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Head given Discharge for Cipolletti Weir Formula

GoHead given Discharge over Cipolletti Weir Formula

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

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

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

Head given Discharge for Cipolletti Weir Example

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Here is how the Head given Discharge for Cipolletti Weir equation looks like with Values.

Here is how the Head given Discharge for Cipolletti Weir equation looks like with Units.

Here is how the Head given Discharge for Cipolletti Weir equation looks like.

1.8747 = {(\frac{3 \cdot 15}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3})}^{\frac{2}{3}}

1.8747m = {(\frac{3 \cdot 15m³/s}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot 3m})}^{\frac{2}{3}}

1.8747 = {(\frac{3 \cdot 15}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3})}^{\frac{2}{3}}

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Head given Discharge for Cipolletti Weir Solution

Follow our step by step solution on how to calculate Head given Discharge for Cipolletti Weir?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

S w = {(\frac{3 \cdot 15}{2 \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot 3})}^{\frac{2}{3}}

Next Step Evaluate

∴

S w = 1.87467589333043m

LAST Step Rounding Answer

∴

S w = 1.8747m

Head given Discharge for Cipolletti Weir Formula Elements

Variables

Functions

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

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

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

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 Height of Water above Crest of Weir

Go Head given Discharge over Cipolletti Weir

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

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 Length of Crest given Discharge for Cipolletti Weir

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

How to Evaluate Head given Discharge for Cipolletti Weir?

Head given Discharge for Cipolletti Weir evaluator uses Height of Water above Crest of Weir = ((3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3) to evaluate the Height of Water above Crest of Weir, Head given discharge for Cipolletti weir is specific measurement of liquid pressure above vertical datum. Height of Water above Crest of Weir is denoted by S_w symbol.

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

FAQs on Head given Discharge for Cipolletti Weir

What is the formula to find Head given Discharge for Cipolletti Weir?

The formula of Head given Discharge for Cipolletti Weir is expressed as Height of Water above Crest of Weir = ((3*Discharge by Cipolletti)/(2*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*Length of Weir Crest))^(2/3). Here is an example- 1.874676 = ((3*15)/(2*0.66*sqrt(2*9.8)*3))^(2/3).

How to calculate Head given Discharge for Cipolletti Weir?

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

What are the other ways to Calculate Height of Water above Crest of Weir?

Here are the different ways to Calculate Height of Water above Crest of Weir-

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

Can the Head given Discharge for Cipolletti Weir be negative?

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

Which unit is used to measure Head given Discharge for Cipolletti Weir?

Head 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 Head given Discharge for Cipolletti Weir can be measured.

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Head given Discharge for Cipolletti Weir Formula

​GoHead given Discharge over Cipolletti Weir Formula

Head given Discharge for Cipolletti Weir Example

Head given Discharge for Cipolletti Weir Solution

Head given Discharge for Cipolletti Weir Formula Elements

Other Formulas to find Height of Water above Crest of Weir

Other formulas in Flow Over a Trapizoidal Weir or Notch category

How to Evaluate Head given Discharge for Cipolletti Weir?

FAQs on Head given Discharge for Cipolletti Weir

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GoHead given Discharge over Cipolletti Weir Formula