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Width of Aperture given Constant for Rectangular Shaped Aperture Weir Formula

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

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

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

Width of Aperture given Constant for Rectangular Shaped Aperture Weir Example

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

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

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

2.1824 = \frac{7.81}{0.66 \cdot {(2 \cdot 9.8 \cdot 1.5)}^{\frac{1}{2}}}

2.1824m = \frac{7.81}{0.66 \cdot {(2 \cdot 9.8m/s² \cdot 1.5m)}^{\frac{1}{2}}}

2.1824 = \frac{7.81}{0.66 \cdot {(2 \cdot 9.8 \cdot 1.5)}^{\frac{1}{2}}}

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Width of Aperture given Constant for Rectangular Shaped Aperture Weir Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

w ap = \frac{7.81}{0.66 \cdot {(2 \cdot 9.8m/s² \cdot 1.5m)}^{\frac{1}{2}}}

Next Step Prepare to Evaluate

∴

w ap = \frac{7.81}{0.66 \cdot {(2 \cdot 9.8 \cdot 1.5)}^{\frac{1}{2}}}

Next Step Evaluate

∴

w ap = 2.18239537762481m

LAST Step Rounding Answer

∴

w ap = 2.1824m

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

Variables

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

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

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

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

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 Height of Aperture given Discharge through Small Rectangular Shaped Aperture Weir

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

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

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

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

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

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

The formula of Width of Aperture given Constant for Rectangular Shaped Aperture Weir is expressed as Width of Small Rectangular Aperture = Constant for Small Rectangular Aperture/(Coefficient of Discharge*(2*Acceleration due to Gravity*Height of Small Rectangular Aperture)^(1/2)). Here is an example- 2.182395 = 7.81/(0.66*(2*9.8*1.5)^(1/2)).

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

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

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

Yes, the Width of Aperture given Constant for Rectangular Shaped Aperture Weir, measured in Length can be negative.

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

Width 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 Width of Aperture given Constant for Rectangular Shaped Aperture Weir can be measured.

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