FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Length of Crest given Discharge over Weir Formula

GoLength of Crest given Actual Discharge over Broad Crested Weir Formula

GoLength of Crest if Critical Depth is Constant for Discharge of Weir Formula

Fx Copy

LaTeX Copy

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

L w = \frac{Q w}{h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}}

L_w - Length of Weir Crest?Q_w - Discharge Over Broad Crested Weir?h_c - Critical Depth of Weir?H - Total Head?[g] - Gravitational acceleration on Earth?

Length of Crest given Discharge over Weir Example

With values

With units

Only example

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

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

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

3.0005 = \frac{26.6}{1.001 \cdot \sqrt{(2 \cdot 9.8066) \cdot (5 - 1.001)}}

3.0005m = \frac{26.6m³/s}{1.001m \cdot \sqrt{(2 \cdot 9.8066m/s²) \cdot (5m - 1.001m)}}

3.0005 = \frac{26.6}{1.001 \cdot \sqrt{(2 \cdot 9.8066) \cdot (5 - 1.001)}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Engineering » Category

Civil » Category

Hydraulics and Waterworks » fx Length of Crest given Discharge over Weir

Length of Crest given Discharge over Weir Solution

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

FIRST Step Consider the formula

L w = \frac{Q w}{h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}}

Next Step Substitute values of Variables

∴

L w = \frac{26.6m³/s}{1.001m \cdot \sqrt{(2 \cdot [g]) \cdot (5m - 1.001m)}}

Next Step Substitute values of Constants

∴

L w = \frac{26.6m³/s}{1.001m \cdot \sqrt{(2 \cdot 9.8066m/s²) \cdot (5m - 1.001m)}}

Next Step Prepare to Evaluate

∴

L w = \frac{26.6}{1.001 \cdot \sqrt{(2 \cdot 9.8066) \cdot (5 - 1.001)}}

Next Step Evaluate

∴

L w = 3.00051996930918m

LAST Step Rounding Answer

∴

L w = 3.0005m

Length of Crest given Discharge over Weir Formula Elements

Variables

Constants

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 Over Broad Crested Weir

Discharge Over Broad Crested Weir is a measure of the quantity of any fluid flow over unit time. The quantity may be either volume or mass.

Symbol: Q_w

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge Over Broad Crested Weir

Critical Depth of Weir

The Critical Depth of Weir is defined as the depth of flow where energy is at a minimum for a particular discharge.

Symbol: h_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Critical Depth of Weir

Total Head

Total Head is the combination of weir crested and additional head.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Total Head

Gravitational acceleration on Earth

Gravitational acceleration on Earth means that the velocity of an object in free fall will increase by 9.8 m/s2 every second.

Symbol: [g]

Value: 9.80665 m/s²

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 Actual Discharge over Broad Crested Weir

L w = \frac{Q a}{C d \cdot h c \cdot \sqrt{(2 \cdot g) \cdot (H - h c)}}

Go Length of Crest if Critical Depth is Constant for Discharge of Weir

L w = \frac{Q w}{1.70 \cdot C d \cdot {(H)}^{\frac{3}{2}}}

Go Length of Crest over Broad Crested Weir for Max Discharge

L w = \frac{Q W(max)}{1.70 \cdot C d \cdot {(H)}^{\frac{3}{2}}}

Other formulas in Broad Crested Weir category

Go Total Head above Weir Crest

H = h c + (\frac{{v f}^{2}}{2 \cdot g})

Go Critical Depth due to Reduction in Area of Flow Section given Total Head

h c = H - (\frac{{v f}^{2}}{2 \cdot g})

Go Velocity of Flow given Head

v f = \sqrt{(2 \cdot g) \cdot (H - h c)}

Go Discharge over Broad Crested Weir

Q w = L w \cdot h c \cdot \sqrt{(2 \cdot [g]) \cdot (H - h c)}

How to Evaluate Length of Crest given Discharge over Weir?

Length of Crest given Discharge over Weir evaluator uses Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))) to evaluate the Length of Weir Crest, Length of Crest given Discharge over Weir is defined as the horizontal distance along the top edge of the weir structure that spans the width of the flow channel. Length of Weir Crest is denoted by L_w symbol.

How to evaluate Length of Crest given Discharge over Weir using this online evaluator? To use this online evaluator for Length of Crest given Discharge over Weir, enter Discharge Over Broad Crested Weir (Q_w), Critical Depth of Weir (h_c) & Total Head (H) and hit the calculate button.

FAQs on Length of Crest given Discharge over Weir

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

The formula of Length of Crest given Discharge over Weir is expressed as Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))). Here is an example- 3.00052 = 26.6/(1.001*sqrt((2*[g])*(5-1.001))).

How to calculate Length of Crest given Discharge over Weir?

With Discharge Over Broad Crested Weir (Q_w), Critical Depth of Weir (h_c) & Total Head (H) we can find Length of Crest given Discharge over Weir using the formula - Length of Weir Crest = Discharge Over Broad Crested Weir/(Critical Depth of Weir*sqrt((2*[g])*(Total Head-Critical Depth of Weir))). This formula also uses Gravitational acceleration on Earth constant(s) and 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=Actual Discharge over Broad Crested Weir/(Coefficient of Discharge*Critical Depth of Weir*sqrt((2*Acceleration due to Gravity)*(Total Head-Critical Depth of Weir)))
Length of Weir Crest=Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))
Length of Weir Crest=Max Discharge Over Broad Crested Weir/(1.70*Coefficient of Discharge*(Total Head)^(3/2))

Can the Length of Crest given Discharge over Weir be negative?

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

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

Length of Crest given Discharge over 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 over Weir can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Length of Crest given Discharge over Weir Formula

​GoLength of Crest given Actual Discharge over Broad Crested Weir Formula

​GoLength of Crest if Critical Depth is Constant for Discharge of Weir Formula

Length of Crest given Discharge over Weir Example

Length of Crest given Discharge over Weir Solution

Length of Crest given Discharge over Weir Formula Elements

Other Formulas to find Length of Weir Crest

Other formulas in Broad Crested Weir category

How to Evaluate Length of Crest given Discharge over Weir?

FAQs on Length of Crest given Discharge over Weir

Variable Name

GoLength of Crest given Actual Discharge over Broad Crested Weir Formula

GoLength of Crest if Critical Depth is Constant for Discharge of Weir Formula