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Diameter of pipe given Area of Cross-section Calculator

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✖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.ⓘ Area of Partially Full Sewers [a]			+10% -10%
✖A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.ⓘ Central Angle [∠_central]			+10% -10%

✖Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.ⓘ Diameter of pipe given Area of Cross-section [D_pipe]

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Diameter of pipe given Area of Cross-section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2)
D_pipe = (a/((pi/4)*((∠_central/(360*pi/180))-(sin(∠_central)/(2*pi)))))^(1/2)
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sin - Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse., sin(Angle)

Variables Used

Diameter of Pipe - (Measured in Meter) - Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.
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.
Central Angle - (Measured in Radian) - A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.

STEP 1: Convert Input(s) to Base Unit

Area of Partially Full Sewers: 3.8 Square Meter --> 3.8 Square Meter No Conversion Required
Central Angle: 120 Degree --> 2.0943951023928 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

D_pipe = (a/((pi/4)*((∠_central/(360*pi/180))-(sin(∠_central)/(2*pi)))))^(1/2) --> (3.8/((pi/4)*((2.0943951023928/(360*pi/180))-(sin(2.0943951023928)/(2*pi)))))^(1/2)

Evaluating ... ...

D_pipe = 4.97476126860295

STEP 3: Convert Result to Output's Unit

4.97476126860295 Meter --> No Conversion Required

FINAL ANSWER

4.97476126860295 ≈ 4.974761 Meter <-- Diameter of Pipe

(Calculation completed in 00.004 seconds)

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Birsa Institute of Technology (BIT), Sindri

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< Circular Sewer Section Running Full Calculators

Diameter of pipe given Area of Cross-section

LaTeX Go Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2)

Diameter of Pipe using Hydraulic Mean Depth

LaTeX Go Diameter of Pipe = Hydraulic Mean Depth for Partially Full/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))))

Hydraulic Mean Depth using Central Angle

LaTeX Go Hydraulic Mean Depth for Partially Full = (Diameter of Pipe/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle)))

Discharge when Pipe is Running Full

LaTeX Go Discharge when Pipe is Running Full = Velocity While Running Full*Area of Running Full Sewers

Diameter of pipe given Area of Cross-section Formula

LaTeX Go

What is sewers ?

Sewer, conduit that carries wastewater from its source to a point of treatment and disposal. The wastewater may be domestic (sanitary) sewage, industrial sewage, storm runoff, or a mixture of the three.

How to Calculate Diameter of pipe given Area of Cross-section?

Diameter of pipe given Area of Cross-section calculator uses Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2) to calculate the Diameter of Pipe, The Diameter of pipe given Area of Cross-section is defined as the straight-line distance across the pipe's circular cross-section, crucial for determining flow capacity. Diameter of Pipe is denoted by D_pipe symbol.

How to calculate Diameter of pipe given Area of Cross-section using this online calculator? To use this online calculator for Diameter of pipe given Area of Cross-section, enter Area of Partially Full Sewers (a) & Central Angle (∠_central) and hit the calculate button. Here is how the Diameter of pipe given Area of Cross-section calculation can be explained with given input values -> 19.70515 = (3.8/((pi/4)*((central_angle/(360*pi/180))-(sin(central_angle)/(2*pi)))))^(1/2).

FAQ

What is Diameter of pipe given Area of Cross-section?

The Diameter of pipe given Area of Cross-section is defined as the straight-line distance across the pipe's circular cross-section, crucial for determining flow capacity and is represented as D_pipe = (a/((pi/4)*((∠_central/(360*pi/180))-(sin(∠_central)/(2*pi)))))^(1/2) or Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2). 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 & A central angle is an angle whose apex (vertex) is the center O of a circle and whose legs (sides) are radii intersecting the circle in two distinct points A and B.

How to calculate Diameter of pipe given Area of Cross-section?

The Diameter of pipe given Area of Cross-section is defined as the straight-line distance across the pipe's circular cross-section, crucial for determining flow capacity is calculated using Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2). To calculate Diameter of pipe given Area of Cross-section, you need Area of Partially Full Sewers (a) & Central Angle (∠_central). With our tool, you need to enter the respective value for Area of Partially Full Sewers & Central Angle and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Pipe?

In this formula, Diameter of Pipe uses Area of Partially Full Sewers & Central Angle. We can use 1 other way(s) to calculate the same, which is/are as follows -

Diameter of Pipe = Hydraulic Mean Depth for Partially Full/((1/4)*(1-(((360*pi/180)*sin(Central Angle))/(2*pi*Central Angle))))

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