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Cross-Sectional Area of Elbow Meter given Discharge Formula

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The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing. Check FAQs

A = \frac{q}{C d \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})}

A - Cross Sectional Area of Pipe?q - Discharge of Pipe Through Elbow meter?C_d - Coefficient of Discharge?g - Acceleration due to Gravity?h_elbowmeter - Elbowmeter Height?

Cross-Sectional Area of Elbow Meter given Discharge Example

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Here is how the Cross-Sectional Area of Elbow Meter given Discharge equation looks like with Values.

Here is how the Cross-Sectional Area of Elbow Meter given Discharge equation looks like with Units.

Here is how the Cross-Sectional Area of Elbow Meter given Discharge equation looks like.

1.9132 = \frac{5}{0.66 \cdot (\sqrt{2 \cdot 9.8 \cdot 0.8})}

1.9132m² = \frac{5m³/s}{0.66 \cdot (\sqrt{2 \cdot 9.8m/s² \cdot 0.8m})}

1.9132 = \frac{5}{0.66 \cdot (\sqrt{2 \cdot 9.8 \cdot 0.8})}

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Cross-Sectional Area of Elbow Meter given Discharge Solution

Follow our step by step solution on how to calculate Cross-Sectional Area of Elbow Meter given Discharge?

FIRST Step Consider the formula

A = \frac{q}{C d \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})}

Next Step Substitute values of Variables

∴

A = \frac{5m³/s}{0.66 \cdot (\sqrt{2 \cdot 9.8m/s² \cdot 0.8m})}

Next Step Prepare to Evaluate

∴

A = \frac{5}{0.66 \cdot (\sqrt{2 \cdot 9.8 \cdot 0.8})}

Next Step Evaluate

∴

A = 1.91316769801555m²

LAST Step Rounding Answer

∴

A = 1.9132m²

Cross-Sectional Area of Elbow Meter given Discharge Formula Elements

Variables

Functions

Cross Sectional Area of Pipe

The Cross sectional Area of Pipe refers to the area of the pipe through which the given liquid is flowing.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Cross Sectional Area of Pipe

Discharge of Pipe Through Elbow meter

The Discharge of Pipe through Elbow meter refers to the fluid flowing per second through a channel or section of a pipe.

Symbol: q

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Discharge of Pipe Through Elbow meter

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

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

Elbowmeter Height

The Elbowmeter Height refers to the ratio of the pressure difference at inlet and outlet of manometer and specific weight of that liquid.

Symbol: h_elbowmeter

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Elbowmeter Height

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 Elbow Meter category

Go Discharge through Pipe in Elbowmeter

q = C d \cdot A \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})

Go Coefficient of Discharge of Elbow Meter given Discharge

C d = \frac{q}{A \cdot (\sqrt{2 \cdot g \cdot h elbowmeter})}

Go Differential Pressure Head of Elbow Meter

H Pressurehead = \frac{{(\frac{q}{C d \cdot A})}^{2}}{2 \cdot 9.81}

How to Evaluate Cross-Sectional Area of Elbow Meter given Discharge?

Cross-Sectional Area of Elbow Meter given Discharge evaluator uses Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height))) to evaluate the Cross Sectional Area of Pipe, The Cross-Sectional Area of Elbow Meter given Discharge formula is defined as area of flow through pipe. Cross Sectional Area of Pipe is denoted by A symbol.

How to evaluate Cross-Sectional Area of Elbow Meter given Discharge using this online evaluator? To use this online evaluator for Cross-Sectional Area of Elbow Meter given Discharge, enter Discharge of Pipe Through Elbow meter (q), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Elbowmeter Height (h_elbowmeter) and hit the calculate button.

FAQs on Cross-Sectional Area of Elbow Meter given Discharge

What is the formula to find Cross-Sectional Area of Elbow Meter given Discharge?

The formula of Cross-Sectional Area of Elbow Meter given Discharge is expressed as Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height))). Here is an example- 1.913168 = 5/(0.66*(sqrt(2*9.8*0.8))).

How to calculate Cross-Sectional Area of Elbow Meter given Discharge?

With Discharge of Pipe Through Elbow meter (q), Coefficient of Discharge (C_d), Acceleration due to Gravity (g) & Elbowmeter Height (h_elbowmeter) we can find Cross-Sectional Area of Elbow Meter given Discharge using the formula - Cross Sectional Area of Pipe = Discharge of Pipe Through Elbow meter/(Coefficient of Discharge*(sqrt(2*Acceleration due to Gravity*Elbowmeter Height))). This formula also uses Square Root (sqrt) function(s).

Can the Cross-Sectional Area of Elbow Meter given Discharge be negative?

Yes, the Cross-Sectional Area of Elbow Meter given Discharge, measured in Area can be negative.

Which unit is used to measure Cross-Sectional Area of Elbow Meter given Discharge?

Cross-Sectional Area of Elbow Meter given Discharge 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 Cross-Sectional Area of Elbow Meter given Discharge can be measured.

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