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Head for Discharge for Entire Triangular Weir Formula

GoHead when Discharge for Triangular Weir Angle is 90 Formula

GoHead when Coefficient Discharge is Constant 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{Q tri}{(\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2})})}^{\frac{2}{5}}

S_w - Height of Water above Crest of Weir?Q_tri - Discharge through Triangular Weir?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?θ - Theta?

Head for Discharge for Entire Triangular Weir Example

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Here is how the Head for Discharge for Entire Triangular Weir equation looks like with Values.

Here is how the Head for Discharge for Entire Triangular Weir equation looks like with Units.

Here is how the Head for Discharge for Entire Triangular Weir equation looks like.

3.5621 = {(\frac{10}{(\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{30}{2})})}^{\frac{2}{5}}

3.5621m = {(\frac{10m³/s}{(\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \tan (\frac{30°}{2})})}^{\frac{2}{5}}

3.5621 = {(\frac{10}{(\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{30}{2})})}^{\frac{2}{5}}

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Hydraulics and Waterworks » fx Head for Discharge for Entire Triangular Weir

Head for Discharge for Entire Triangular Weir Solution

Follow our step by step solution on how to calculate Head for Discharge for Entire Triangular Weir?

FIRST Step Consider the formula

S w = {(\frac{Q tri}{(\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2})})}^{\frac{2}{5}}

Next Step Substitute values of Variables

∴

S w = {(\frac{10m³/s}{(\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \tan (\frac{30°}{2})})}^{\frac{2}{5}}

Next Step Convert Units

∴

S w = {(\frac{10m³/s}{(\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8m/s²} \cdot \tan (\frac{0.5236rad}{2})})}^{\frac{2}{5}}

Next Step Prepare to Evaluate

∴

S w = {(\frac{10}{(\frac{8}{15}) \cdot 0.66 \cdot \sqrt{2 \cdot 9.8} \cdot \tan (\frac{0.5236}{2})})}^{\frac{2}{5}}

Next Step Evaluate

∴

S w = 3.56213799172629m

LAST Step Rounding Answer

∴

S w = 3.5621m

Head for Discharge for Entire Triangular 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 through Triangular Weir

Discharge through Triangular Weir is discharge calculated considering the channel as triangular.

Symbol: Q_tri

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Triangular Weir

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

Theta

Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

Symbol: θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Theta

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

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 when Discharge for Triangular Weir Angle is 90

S w = \frac{Q tri}{{((\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g})}^{\frac{2}{5}}}

Go Head when Coefficient Discharge is Constant

S w = {(\frac{Q tri}{1.418})}^{\frac{2}{5}}

Other formulas in Flow over a Triangular Weir or Notch category

Go Discharge for Entire Triangular Weir

Q tri = (\frac{8}{15}) \cdot C d \cdot \sqrt{2 \cdot g} \cdot \tan (\frac{θ}{2}) \cdot {S w}^{\frac{5}{2}}

Go Discharge for Triangular Weir if Angle is at 90

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

Go Coefficient of Discharge when Discharge for Triangular Weir when Angle is 90

C d = \frac{Q tri}{(\frac{8}{15}) \cdot \sqrt{2 \cdot g} \cdot {S w}^{\frac{5}{2}}}

Go Discharge for Triangular Weir if Coefficient Discharge is Constant

Q tri = 1.418 \cdot {S w}^{\frac{5}{2}}

How to Evaluate Head for Discharge for Entire Triangular Weir?

Head for Discharge for Entire Triangular Weir evaluator uses Height of Water above Crest of Weir = (Discharge through Triangular Weir/((8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)))^(2/5) to evaluate the Height of Water above Crest of Weir, The Head for discharge for entire triangular weir is a measure of the potential of fluid at the measurement point. or total energy per unit weight above a datum. Height of Water above Crest of Weir is denoted by S_w symbol.

How to evaluate Head for Discharge for Entire Triangular Weir using this online evaluator? To use this online evaluator for Head for Discharge for Entire Triangular Weir, enter Discharge through Triangular Weir (Q_tri), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Theta (θ) and hit the calculate button.

FAQs on Head for Discharge for Entire Triangular Weir

What is the formula to find Head for Discharge for Entire Triangular Weir?

The formula of Head for Discharge for Entire Triangular Weir is expressed as Height of Water above Crest of Weir = (Discharge through Triangular Weir/((8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)))^(2/5). Here is an example- 3.562138 = (10/((8/15)*0.66*sqrt(2*9.8)*tan(0.5235987755982/2)))^(2/5).

How to calculate Head for Discharge for Entire Triangular Weir?

With Discharge through Triangular Weir (Q_tri), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Theta (θ) we can find Head for Discharge for Entire Triangular Weir using the formula - Height of Water above Crest of Weir = (Discharge through Triangular Weir/((8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity)*tan(Theta/2)))^(2/5). This formula also uses Tangent (tan), 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 through Triangular Weir/((8/15)*Coefficient of Discharge*sqrt(2*Acceleration due to Gravity))^(2/5)
Height of Water above Crest of Weir=(Discharge through Triangular Weir/1.418)^(2/5)

Can the Head for Discharge for Entire Triangular Weir be negative?

No, the Head for Discharge for Entire Triangular Weir, measured in Length cannot be negative.

Which unit is used to measure Head for Discharge for Entire Triangular Weir?

Head for Discharge for Entire Triangular Weir is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Head for Discharge for Entire Triangular Weir can be measured.

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