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Area at vena contracta for discharge and constant head Formula

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The Area at vena contracta is the cross-sectional area of the vena contracta represents a measure of the effective regurgitant orifice area, which is the narrowest area of actual flow. Check FAQs

a c = \frac{Q M}{\sqrt{2 \cdot 9.81 \cdot H c}}

a_c - Area at Vena Contracta?Q_M - Discharge through Mouthpiece?H_c - Constant Head?

Area at vena contracta for discharge and constant head Example

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Here is how the Area at vena contracta for discharge and constant head equation looks like with Values.

Here is how the Area at vena contracta for discharge and constant head equation looks like with Units.

Here is how the Area at vena contracta for discharge and constant head equation looks like.

2.1041 = \frac{30.2}{\sqrt{2 \cdot 9.81 \cdot 10.5}}

2.1041m² = \frac{30.2m³/s}{\sqrt{2 \cdot 9.81 \cdot 10.5m}}

2.1041 = \frac{30.2}{\sqrt{2 \cdot 9.81 \cdot 10.5}}

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Area at vena contracta for discharge and constant head Solution

Follow our step by step solution on how to calculate Area at vena contracta for discharge and constant head?

FIRST Step Consider the formula

a c = \frac{Q M}{\sqrt{2 \cdot 9.81 \cdot H c}}

Next Step Substitute values of Variables

∴

a c = \frac{30.2m³/s}{\sqrt{2 \cdot 9.81 \cdot 10.5m}}

Next Step Prepare to Evaluate

∴

a c = \frac{30.2}{\sqrt{2 \cdot 9.81 \cdot 10.5}}

Next Step Evaluate

∴

a c = 2.10408263381361m²

LAST Step Rounding Answer

∴

a c = 2.1041m²

Area at vena contracta for discharge and constant head Formula Elements

Variables

Functions

Area at Vena Contracta

The Area at vena contracta is the cross-sectional area of the vena contracta represents a measure of the effective regurgitant orifice area, which is the narrowest area of actual flow.

Symbol: a_c

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Area at Vena Contracta

Discharge through Mouthpiece

The Discharge through mouthpiece is considered in the flow without sudden enlargement.

Symbol: Q_M

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value can be positive or negative.

Formulas to find Discharge through Mouthpiece

Constant Head

The Constant head is considered for discharging of the water from an mouthpiece.

Symbol: H_c

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Constant Head

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 in Geometric Dimensions category

Go Vertical distance for coefficient of velocity and horizontal distance

V = \frac{R^{2}}{4 \cdot ({C v}^{2}) \cdot H}

Go Area of Tank given Time for Emptying Tank

A T = \frac{t total \cdot C d \cdot a \cdot (\sqrt{2 \cdot 9.81})}{2 \cdot ((\sqrt{H i}) - (\sqrt{H f}))}

Go Area of Orifice given Time of Emptying Hemispherical Tank

a = \frac{π \cdot (((\frac{4}{3}) \cdot R t \cdot (({H i}^{\frac{3}{2}}) - ({H f}^{\frac{3}{2}}))) - ((\frac{2}{5}) \cdot (({H i}^{\frac{5}{2}}) - {(H f)}^{\frac{5}{2}})))}{t total \cdot C d \cdot (\sqrt{2 \cdot 9.81})}

Go Area of Mouthpiece in Borda's Mouthpiece Running Full

A = \frac{Q M}{0.707 \cdot \sqrt{2 \cdot 9.81 \cdot H c}}

How to Evaluate Area at vena contracta for discharge and constant head?

Area at vena contracta for discharge and constant head evaluator uses Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head)) to evaluate the Area at Vena Contracta, The Area at vena contracta for discharge and constant head is considered from the convergent-divergent mouthpiece which depends on the area at the throat. Here, in the mouthpiece, there is no sudden enlargement so it is eliminated. Area at Vena Contracta is denoted by a_c symbol.

How to evaluate Area at vena contracta for discharge and constant head using this online evaluator? To use this online evaluator for Area at vena contracta for discharge and constant head, enter Discharge through Mouthpiece (Q_M) & Constant Head (H_c) and hit the calculate button.

FAQs on Area at vena contracta for discharge and constant head

What is the formula to find Area at vena contracta for discharge and constant head?

The formula of Area at vena contracta for discharge and constant head is expressed as Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head)). Here is an example- 2.104083 = 30.2/(sqrt(2*9.81*10.5)).

How to calculate Area at vena contracta for discharge and constant head?

With Discharge through Mouthpiece (Q_M) & Constant Head (H_c) we can find Area at vena contracta for discharge and constant head using the formula - Area at Vena Contracta = Discharge through Mouthpiece/(sqrt(2*9.81*Constant Head)). This formula also uses Square Root Function function(s).

Can the Area at vena contracta for discharge and constant head be negative?

Yes, the Area at vena contracta for discharge and constant head, measured in Area can be negative.

Which unit is used to measure Area at vena contracta for discharge and constant head?

Area at vena contracta for discharge and constant head is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area at vena contracta for discharge and constant head can be measured.

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Area at vena contracta for discharge and constant head Formula

Area at vena contracta for discharge and constant head Example

Area at vena contracta for discharge and constant head Solution

Area at vena contracta for discharge and constant head Formula Elements

Other formulas in Geometric Dimensions category

How to Evaluate Area at vena contracta for discharge and constant head?

FAQs on Area at vena contracta for discharge and constant head

Variable Name