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Area of Cross-section while Running Full given Proportionate Discharge Formula

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The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid. Check FAQs

A = \frac{a \cdot V s}{V \cdot P q}

A - Area of Running Full Sewers?a - Area of Partially Full Sewers?V_s - Velocity in a Partially Running Sewer?V - Velocity While Running Full?P_q - Proportionate Discharge?

Area of Cross-section while Running Full given Proportionate Discharge Example

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Here is how the Area of Cross-section while Running Full given Proportionate Discharge equation looks like with Values.

Here is how the Area of Cross-section while Running Full given Proportionate Discharge equation looks like with Units.

Here is how the Area of Cross-section while Running Full given Proportionate Discharge equation looks like.

5.4061 = \frac{3.8 \cdot 4.6}{6.01 \cdot 0.538}

5.4061m² = \frac{3.8m² \cdot 4.6m/s}{6.01m/s \cdot 0.538}

5.4061 = \frac{3.8 \cdot 4.6}{6.01 \cdot 0.538}

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Area of Cross-section while Running Full given Proportionate Discharge Solution

Follow our step by step solution on how to calculate Area of Cross-section while Running Full given Proportionate Discharge?

FIRST Step Consider the formula

A = \frac{a \cdot V s}{V \cdot P q}

Next Step Substitute values of Variables

∴

A = \frac{3.8m² \cdot 4.6m/s}{6.01m/s \cdot 0.538}

Next Step Prepare to Evaluate

∴

A = \frac{3.8 \cdot 4.6}{6.01 \cdot 0.538}

Next Step Evaluate

∴

A = 5.40610754071591m²

LAST Step Rounding Answer

∴

A = 5.4061m²

Area of Cross-section while Running Full given Proportionate Discharge Formula Elements

Variables

Area of Running Full Sewers

The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.

Symbol: A

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Running Full Sewers

Area of Partially Full Sewers

The Area of Partially Full Sewers refers to the cross-sectional flow area at a given water depth, crucial for hydraulic and flow rate calculations.

Symbol: a

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Partially Full Sewers

Velocity in a Partially Running Sewer

Velocity in a Partially Running Sewer is the speed of flow when the sewer isn't fully filled, influenced by depth and slope.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity in a Partially Running Sewer

Velocity While Running Full

Velocity while Running Full refers to the speed of fluid flow in a pipe when it's completely filled, influenced by pipe slope and roughness.

Symbol: V

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Velocity While Running Full

Proportionate Discharge

Proportionate Discharge is the ratio of discharge while running partially full to running full.

Symbol: P_q

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Proportionate Discharge

Other formulas in Proportionate Discharge category

Go Proportionate Discharge using Discharge when Pipe Running Full

P q = \frac{q}{Q}

Go Proportionate Discharge given Central Angle

P q = ((\frac{∠ central}{360 \cdot \frac{π}{180}}) - (\frac{\sin (∠ central)}{2 \cdot π})) \cdot (1 - \frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central})

Go Proportionate Discharge given Area of Cross-Section

P q = \frac{V s \cdot a}{V \cdot A}

Go Discharge when Pipe is Running Full using Proportionate Discharge

Q = (\frac{q}{P q})

How to Evaluate Area of Cross-section while Running Full given Proportionate Discharge?

Area of Cross-section while Running Full given Proportionate Discharge evaluator uses Area of Running Full Sewers = (Area of Partially Full Sewers*Velocity in a Partially Running Sewer)/(Velocity While Running Full*Proportionate Discharge) to evaluate the Area of Running Full Sewers, Area of Cross-section while Running Full given Proportionate Discharge is defined as the total cross-sectional area of the pipe when it is completely filled with fluid. Area of Running Full Sewers is denoted by A symbol.

How to evaluate Area of Cross-section while Running Full given Proportionate Discharge using this online evaluator? To use this online evaluator for Area of Cross-section while Running Full given Proportionate Discharge, enter Area of Partially Full Sewers (a), Velocity in a Partially Running Sewer (V_s), Velocity While Running Full (V) & Proportionate Discharge (P_q) and hit the calculate button.

FAQs on Area of Cross-section while Running Full given Proportionate Discharge

What is the formula to find Area of Cross-section while Running Full given Proportionate Discharge?

The formula of Area of Cross-section while Running Full given Proportionate Discharge is expressed as Area of Running Full Sewers = (Area of Partially Full Sewers*Velocity in a Partially Running Sewer)/(Velocity While Running Full*Proportionate Discharge). Here is an example- 5.467079 = (3.8*4.6)/(6.01*0.538).

How to calculate Area of Cross-section while Running Full given Proportionate Discharge?

With Area of Partially Full Sewers (a), Velocity in a Partially Running Sewer (V_s), Velocity While Running Full (V) & Proportionate Discharge (P_q) we can find Area of Cross-section while Running Full given Proportionate Discharge using the formula - Area of Running Full Sewers = (Area of Partially Full Sewers*Velocity in a Partially Running Sewer)/(Velocity While Running Full*Proportionate Discharge).

Can the Area of Cross-section while Running Full given Proportionate Discharge be negative?

No, the Area of Cross-section while Running Full given Proportionate Discharge, measured in Area cannot be negative.

Which unit is used to measure Area of Cross-section while Running Full given Proportionate Discharge?

Area of Cross-section while Running Full given Proportionate 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 Area of Cross-section while Running Full given Proportionate Discharge can be measured.

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Area of Cross-section while Running Full given Proportionate Discharge Formula

Area of Cross-section while Running Full given Proportionate Discharge Example

Area of Cross-section while Running Full given Proportionate Discharge Solution

Area of Cross-section while Running Full given Proportionate Discharge Formula Elements

Other formulas in Proportionate Discharge category

How to Evaluate Area of Cross-section while Running Full given Proportionate Discharge?

FAQs on Area of Cross-section while Running Full given Proportionate Discharge

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