Area of Cross-Section given Discharge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full
A = Q/V
This formula uses 3 Variables
Variables Used
Area of cross-section of pipe - (Measured in Square Meter) - Area of cross-section of pipe while running full.
Discharge when pipe is running full - (Measured in Cubic Meter per Second) - Discharge when pipe is running full means water is flowing through the whole cross-section of pipe.
Velocity while running full - (Measured in Meter per Second) - Velocity while running full means when velocity of water through pipe while running full.
STEP 1: Convert Input(s) to Base Unit
Discharge when pipe is running full: 5 Cubic Meter per Second --> 5 Cubic Meter per Second No Conversion Required
Velocity while running full: 10 Meter per Second --> 10 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = Q/V --> 5/10
Evaluating ... ...
A = 0.5
STEP 3: Convert Result to Output's Unit
0.5 Square Meter --> No Conversion Required
FINAL ANSWER
0.5 Square Meter <-- Area of cross-section of pipe
(Calculation completed in 00.004 seconds)

Credits

Created by Suraj Kumar
Birsa Institute of Technology (BIT), Sindri
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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6 Circular Sewer Section Running Full Calculators

Diameter of pipe given Area of Cross-section
Go Diameter of Pipe = (Area of cross-section/(pi/4)*((Angle/(360*pi/180))-(sin(Angle)/2*pi)))^(1/2)
Diameter of Pipe using Hydraulic Mean Depth
Go Diameter of Pipe = Hydraulic mean depth/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))))
Hydraulic Mean Depth using Central Angle
Go Hydraulic mean depth = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))
Velocity while Running Full given Discharge
Go Velocity while running full = Discharge when pipe is running full/Area of cross-section of pipe
Area of Cross-Section given Discharge
Go Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full
Discharge when Pipe is Running Full
Go Discharge when pipe is running full = Velocity while running full*Area of cross-section of pipe

Area of Cross-Section given Discharge Formula

Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full
A = Q/V

What is discharge ?

Discharge is the volumetric flow rate of water that is transported through a given cross-sectional area.

How to Calculate Area of Cross-Section given Discharge?

Area of Cross-Section given Discharge calculator uses Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full to calculate the Area of cross-section of pipe, The Area of Cross-Section given Discharge is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced. Area of cross-section of pipe is denoted by A symbol.

How to calculate Area of Cross-Section given Discharge using this online calculator? To use this online calculator for Area of Cross-Section given Discharge, enter Discharge when pipe is running full (Q) & Velocity while running full (V) and hit the calculate button. Here is how the Area of Cross-Section given Discharge calculation can be explained with given input values -> 0.5 = 5/10.

FAQ

What is Area of Cross-Section given Discharge?
The Area of Cross-Section given Discharge is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced and is represented as A = Q/V or Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full. Discharge when pipe is running full means water is flowing through the whole cross-section of pipe & Velocity while running full means when velocity of water through pipe while running full.
How to calculate Area of Cross-Section given Discharge?
The Area of Cross-Section given Discharge is the area of a two-dimensional shape that is obtained when a three-dimensional object is sliced is calculated using Area of cross-section of pipe = Discharge when pipe is running full/Velocity while running full. To calculate Area of Cross-Section given Discharge, you need Discharge when pipe is running full (Q) & Velocity while running full (V). With our tool, you need to enter the respective value for Discharge when pipe is running full & Velocity while running full 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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