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Length of Crest of Weir or Notch Formula

GoLength of Section for Discharge over Rectangle Notch or Weir Formula

GoLength of Weir or Notch for Velocity of Approach Formula

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The Length of Weir is the of the base of weir through which discharge is taking place. Check FAQs

L w = \frac{3 \cdot A}{C d \cdot t a \cdot \sqrt{2 \cdot [g]}} \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

L_w - Length of Weir?A - Area of Weir?C_d - Coefficient of Discharge?t_a - Total Time Taken?H_f - Final Height of Liquid?H_i - Initial Height of Liquid?[g] - Gravitational acceleration on Earth?

Length of Crest of Weir or Notch Example

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Here is how the Length of Crest of Weir or Notch equation looks like with Values.

Here is how the Length of Crest of Weir or Notch equation looks like with Units.

Here is how the Length of Crest of Weir or Notch equation looks like.

1.2144 = \frac{3 \cdot 50}{0.8 \cdot 82 \cdot \sqrt{2 \cdot 9.8066}} \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

1.2144m = \frac{3 \cdot 50m²}{0.8 \cdot 82s \cdot \sqrt{2 \cdot 9.8066m/s²}} \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

1.2144 = \frac{3 \cdot 50}{0.8 \cdot 82 \cdot \sqrt{2 \cdot 9.8066}} \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

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Length of Crest of Weir or Notch Solution

Follow our step by step solution on how to calculate Length of Crest of Weir or Notch?

FIRST Step Consider the formula

L w = \frac{3 \cdot A}{C d \cdot t a \cdot \sqrt{2 \cdot [g]}} \cdot (\frac{1}{\sqrt{H f}} - \frac{1}{\sqrt{H i}})

Next Step Substitute values of Variables

∴

L w = \frac{3 \cdot 50m²}{0.8 \cdot 82s \cdot \sqrt{2 \cdot [g]}} \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

Next Step Substitute values of Constants

∴

L w = \frac{3 \cdot 50m²}{0.8 \cdot 82s \cdot \sqrt{2 \cdot 9.8066m/s²}} \cdot (\frac{1}{\sqrt{0.17m}} - \frac{1}{\sqrt{186.1m}})

Next Step Prepare to Evaluate

∴

L w = \frac{3 \cdot 50}{0.8 \cdot 82 \cdot \sqrt{2 \cdot 9.8066}} \cdot (\frac{1}{\sqrt{0.17}} - \frac{1}{\sqrt{186.1}})

Next Step Evaluate

∴

L w = 1.21439249930787m

LAST Step Rounding Answer

∴

L w = 1.2144m

Length of Crest of Weir or Notch Formula Elements

Variables

Constants

Functions

Length of Weir

The Length of Weir is the of the base of weir through which discharge is taking place.

Symbol: L_w

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length of Weir

Area of Weir

Area of Weir is the amount of two-dimensional space taken up by an object.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Weir

Coefficient of Discharge

The Coefficient of Discharge or efflux coefficient is the ratio of the actual discharge to the theoretical discharge.

Symbol: C_d

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Coefficient of Discharge

Total Time Taken

Total Time Taken is the total time taken by the body to cover that space.

Symbol: t_a

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Total Time Taken

Final Height of Liquid

The Final Height of Liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_f

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Final Height of Liquid

Initial Height of Liquid

The Initial height of liquid is a variable from the tank emptying through an orifice at its bottom.

Symbol: H_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Initial Height of Liquid

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

Go Length of Section for Discharge over Rectangle Notch or Weir

L w = \frac{Q th}{\frac{2}{3} \cdot C d \cdot \sqrt{2 \cdot [g]} \cdot {l a}^{\frac{3}{2}}}

Go Length of Weir or Notch for Velocity of Approach

L w = \frac{Q}{\frac{2}{3} \cdot C d \cdot \sqrt{2 \cdot [g]} \cdot ({(H i + H f)}^{\frac{3}{2}} - {H f}^{\frac{3}{2}})}

Go Length of Weir or Notch without Velocity of Approach

L w = \frac{Q}{\frac{2}{3} \cdot C d \cdot \sqrt{2 \cdot [g]} \cdot {H i}^{\frac{3}{2}}}

Go Length of Weir Considering Francis's formula

L w = \frac{Q}{1.84 \cdot ({(H i + h a)}^{\frac{3}{2}} - {h a}^{\frac{3}{2}})}

Other formulas in Geometric DImension category

Go Length of Weir Considering Bazin's formula without Velocity of Approach

L n = \frac{Q}{0.405 + \frac{0.003}{l a}} \cdot \sqrt{2 \cdot [g]} \cdot {l a}^{\frac{3}{2}}

Go Length of Weir Considering Bazin's formula with Velocity of Approach

L n = \frac{Q}{0.405 + \frac{0.003}{l a + h a}} \cdot \sqrt{2 \cdot [g]} \cdot {(l a + h a)}^{\frac{3}{2}}

How to Evaluate Length of Crest of Weir or Notch?

Length of Crest of Weir or Notch evaluator uses 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)) to evaluate the Length of Weir, Length of Crest of Weir or Notch refers to the horizontal distance along the top edge of the weir or notch. It represents the span over which the liquid flows and is an important parameter for calculating the flow rate over the weir. Length of Weir is denoted by L_w symbol.

How to evaluate Length of Crest of Weir or Notch using this online evaluator? To use this online evaluator for Length of Crest of Weir or Notch, enter Area of Weir (A), Coefficient of Discharge (C_d), Total Time Taken (t_a), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) and hit the calculate button.

FAQs on Length of Crest of Weir or Notch

What is the formula to find Length of Crest of Weir or Notch?

The formula of Length of Crest of Weir or Notch is expressed as 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)). Here is an example- 1.214392 = (3*50)/(0.8*82*sqrt(2*[g]))*(1/sqrt(0.17)-1/sqrt(186.1)).

How to calculate Length of Crest of Weir or Notch?

With Area of Weir (A), Coefficient of Discharge (C_d), Total Time Taken (t_a), Final Height of Liquid (H_f) & Initial Height of Liquid (H_i) we can find Length of Crest of Weir or Notch using the formula - 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)). 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?

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))
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)))
Length of Weir=Discharge Weir/(2/3*Coefficient of Discharge*sqrt(2*[g])*Initial Height of Liquid^(3/2))

Can the Length of Crest of Weir or Notch be negative?

Yes, the Length of Crest of Weir or Notch, measured in Length can be negative.

Which unit is used to measure Length of Crest of Weir or Notch?

Length of Crest of Weir or Notch 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 of Weir or Notch can be measured.

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Length of Crest of Weir or Notch Formula

​GoLength of Section for Discharge over Rectangle Notch or Weir Formula

​GoLength of Weir or Notch for Velocity of Approach Formula

Length of Crest of Weir or Notch Example

Length of Crest of Weir or Notch Solution

Length of Crest of Weir or Notch Formula Elements

Other Formulas to find Length of Weir

Other formulas in Geometric DImension category

How to Evaluate Length of Crest of Weir or Notch?

FAQs on Length of Crest of Weir or Notch

Variable Name

GoLength of Section for Discharge over Rectangle Notch or Weir Formula

GoLength of Weir or Notch for Velocity of Approach Formula