Area of Cross-section given Proportionate Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Running Full Sewers = Area of Partially Full Sewers/Proportionate Area
A = a/Pa
This formula uses 3 Variables
Variables Used
Area of Running Full Sewers - (Measured in Square Meter) - The Area of Running Full Sewers refers to the total cross-sectional area of the pipe when it is completely filled with fluid.
Area of Partially Full Sewers - (Measured in Square Meter) - 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.
Proportionate Area - Proportionate Area is ratio of area when water is partially full to area when water is totally full.
STEP 1: Convert Input(s) to Base Unit
Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Proportionate Area: 0.703 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = a/Pa --> 3.8/0.703
Evaluating ... ...
A = 5.40540540540541
STEP 3: Convert Result to Output's Unit
5.40540540540541 Square Meter --> No Conversion Required
FINAL ANSWER
5.40540540540541 5.405405 Square Meter <-- Area of Running Full Sewers
(Calculation completed in 00.004 seconds)

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Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Proportionate Area Calculators

Proportionate Area given Central Angle
​ LaTeX ​ Go Proportionate Area = ((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))
Proportionate Area given Area of Cross-section
​ LaTeX ​ Go Proportionate Area = Area of Partially Full Sewers/Area of Running Full Sewers
Area of Cross-section given Proportionate Area
​ LaTeX ​ Go Area of Running Full Sewers = Area of Partially Full Sewers/Proportionate Area

Area of Cross-section given Proportionate Area Formula

​LaTeX ​Go
Area of Running Full Sewers = Area of Partially Full Sewers/Proportionate Area
A = a/Pa

What is proportionate area ?

The proportionate area for partially and fully running pipes compares the cross-sectional area of flow when a pipe is not completely full to when it is entirely filled. This ratio helps in analyzing flow characteristics, such as velocity and discharge, under different conditions. It is crucial for designing and assessing the efficiency of drainage and sewer systems, where pipes often operate below full capacity. Understanding this proportion aids in predicting flow behavior and ensuring the system meets design criteria.

How to Calculate Area of Cross-section given Proportionate Area?

Area of Cross-section given Proportionate Area calculator uses Area of Running Full Sewers = Area of Partially Full Sewers/Proportionate Area to calculate the Area of Running Full Sewers, The Area of Cross-section given Proportionate Area 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 calculate Area of Cross-section given Proportionate Area using this online calculator? To use this online calculator for Area of Cross-section given Proportionate Area, enter Area of Partially Full Sewers (a) & Proportionate Area (Pa) and hit the calculate button. Here is how the Area of Cross-section given Proportionate Area calculation can be explained with given input values -> 5.757576 = 3.8/proportionate_area.

FAQ

What is Area of Cross-section given Proportionate Area?
The Area of Cross-section given Proportionate Area is defined as the total cross-sectional area of the pipe when it is completely filled with fluid and is represented as A = a/Pa or Area of Running Full Sewers = Area of Partially Full Sewers/Proportionate Area. 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 & Proportionate Area is ratio of area when water is partially full to area when water is totally full.
How to calculate Area of Cross-section given Proportionate Area?
The Area of Cross-section given Proportionate Area is defined as the total cross-sectional area of the pipe when it is completely filled with fluid is calculated using Area of Running Full Sewers = Area of Partially Full Sewers/Proportionate Area. To calculate Area of Cross-section given Proportionate Area, you need Area of Partially Full Sewers (a) & Proportionate Area (Pa). With our tool, you need to enter the respective value for Area of Partially Full Sewers & Proportionate Area and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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