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Height of Aperture given Constant for Rectangular Shaped Aperture Weir Formula

GoHeight of Aperture given Discharge through Small Rectangular Shaped Aperture Weir Formula

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Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture. Check FAQs

h ap = {(\frac{K Flow}{C d \cdot w ap})}^{2} \cdot (\frac{1}{2 \cdot g})

h_ap - Height of Small Rectangular Aperture?K_Flow - Constant for Small Rectangular Aperture?C_d - Coefficient of Discharge?w_ap - Width of Small Rectangular Aperture?g - Acceleration due to Gravity?

Height of Aperture given Constant for Rectangular Shaped Aperture Weir Example

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Here is how the Height of Aperture given Constant for Rectangular Shaped Aperture Weir equation looks like with Values.

Here is how the Height of Aperture given Constant for Rectangular Shaped Aperture Weir equation looks like with Units.

Here is how the Height of Aperture given Constant for Rectangular Shaped Aperture Weir equation looks like.

0.6977 = {(\frac{7.81}{0.66 \cdot 3.2})}^{2} \cdot (\frac{1}{2 \cdot 9.8})

0.6977m = {(\frac{7.81}{0.66 \cdot 3.2m})}^{2} \cdot (\frac{1}{2 \cdot 9.8m/s²})

0.6977 = {(\frac{7.81}{0.66 \cdot 3.2})}^{2} \cdot (\frac{1}{2 \cdot 9.8})

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Height of Aperture given Constant for Rectangular Shaped Aperture Weir Solution

Follow our step by step solution on how to calculate Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

FIRST Step Consider the formula

h ap = {(\frac{K Flow}{C d \cdot w ap})}^{2} \cdot (\frac{1}{2 \cdot g})

Next Step Substitute values of Variables

∴

h ap = {(\frac{7.81}{0.66 \cdot 3.2m})}^{2} \cdot (\frac{1}{2 \cdot 9.8m/s²})

Next Step Prepare to Evaluate

∴

h ap = {(\frac{7.81}{0.66 \cdot 3.2})}^{2} \cdot (\frac{1}{2 \cdot 9.8})

Next Step Evaluate

∴

h ap = 0.697683044571995m

LAST Step Rounding Answer

∴

h ap = 0.6977m

Height of Aperture given Constant for Rectangular Shaped Aperture Weir Formula Elements

Variables

Height of Small Rectangular Aperture

Height of Small Rectangular Aperture is the distance between the lowest and highest points of Small Rectangular Aperture.

Symbol: h_ap

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Small Rectangular Aperture

Constant for Small Rectangular Aperture

Constant for Small Rectangular Aperture is defined by empirical formula given for Small Rectangular Aperture.

Symbol: K_Flow

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Constant for Small Rectangular Aperture

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

Width of Small Rectangular Aperture

Width of Small Rectangular Aperture is the measurement or extent of something from side to side.

Symbol: w_ap

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Width of Small Rectangular Aperture

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

Other Formulas to find Height of Small Rectangular Aperture

Go Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir

h ap = - ((\frac{Q srw}{K Flow}) - S w) \cdot 3

Other formulas in Proportional Weir or Sutro Weir category

Go Discharge through Small Rectangular Shaped Aperture Weir

Q srw = K Flow \cdot (S w - (\frac{h ap}{3}))

Go Constant given Discharge through Small Rectangular Shaped Aperture Weir

K Flow = \frac{Q srw}{S w - (\frac{h ap}{3})}

Go Head given Discharge through Small Rectangular Shaped Aperture Weir

S w = (\frac{Q srw}{K Flow}) + (\frac{h ap}{3})

Go Constant for Small Rectangular Shaped Aperture Weir

K Flow = C d \cdot w ap \cdot {(2 \cdot g \cdot h ap)}^{\frac{1}{2}}

How to Evaluate Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

Height of Aperture given Constant for Rectangular Shaped Aperture Weir evaluator uses Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity)) to evaluate the Height of Small Rectangular Aperture, Height of aperture given constant for rectangular shaped aperture weir can be represented as measurement of height of weir. Height of Small Rectangular Aperture is denoted by h_ap symbol.

How to evaluate Height of Aperture given Constant for Rectangular Shaped Aperture Weir using this online evaluator? To use this online evaluator for Height of Aperture given Constant for Rectangular Shaped Aperture Weir, enter Constant for Small Rectangular Aperture (K_Flow), Coefficient of Discharge (C_d), Width of Small Rectangular Aperture (w_ap) & Acceleration due to Gravity (g) and hit the calculate button.

FAQs on Height of Aperture given Constant for Rectangular Shaped Aperture Weir

What is the formula to find Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

The formula of Height of Aperture given Constant for Rectangular Shaped Aperture Weir is expressed as Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity)). Here is an example- 0.697683 = (7.81/(0.66*3.2))^2*(1/(2*9.8)).

How to calculate Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

With Constant for Small Rectangular Aperture (K_Flow), Coefficient of Discharge (C_d), Width of Small Rectangular Aperture (w_ap) & Acceleration due to Gravity (g) we can find Height of Aperture given Constant for Rectangular Shaped Aperture Weir using the formula - Height of Small Rectangular Aperture = (Constant for Small Rectangular Aperture/(Coefficient of Discharge*Width of Small Rectangular Aperture))^2*(1/(2*Acceleration due to Gravity)).

What are the other ways to Calculate Height of Small Rectangular Aperture?

Here are the different ways to Calculate Height of Small Rectangular Aperture-

Height of Small Rectangular Aperture=-((Discharge for Small Rectangular Aperture/Constant for Small Rectangular Aperture)-Height of Water above Crest of Weir)*3

Can the Height of Aperture given Constant for Rectangular Shaped Aperture Weir be negative?

No, the Height of Aperture given Constant for Rectangular Shaped Aperture Weir, measured in Length cannot be negative.

Which unit is used to measure Height of Aperture given Constant for Rectangular Shaped Aperture Weir?

Height of Aperture given Constant for Rectangular Shaped Aperture Weir is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Aperture given Constant for Rectangular Shaped Aperture Weir can be measured.

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