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Diameter of pipe given Area of Cross-section Formula

GoDiameter of Pipe using Hydraulic Mean Depth Formula

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Diameter of Pipe is the diameter of the pipe in which the liquid is flowing. Check FAQs

D pipe = {(\frac{a}{(\frac{π}{4}) \cdot ((\frac{∠ central}{360 \cdot \frac{π}{180}}) - (\frac{\sin (∠ central)}{2 \cdot π}))})}^{\frac{1}{2}}

D_pipe - Diameter of Pipe?a - Area of Partially Full Sewers?∠_central - Central Angle?π - Archimedes' constant?

Diameter of pipe given Area of Cross-section Example

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Here is how the Diameter of pipe given Area of Cross-section equation looks like with Values.

Here is how the Diameter of pipe given Area of Cross-section equation looks like with Units.

Here is how the Diameter of pipe given Area of Cross-section equation looks like.

4.9748 = {(\frac{3.8}{(\frac{3.1416}{4}) \cdot ((\frac{120}{360 \cdot \frac{3.1416}{180}}) - (\frac{\sin (120)}{2 \cdot 3.1416}))})}^{\frac{1}{2}}

4.9748m = {(\frac{3.8m²}{(\frac{3.1416}{4}) \cdot ((\frac{120°}{360 \cdot \frac{3.1416}{180}}) - (\frac{\sin (120°)}{2 \cdot 3.1416}))})}^{\frac{1}{2}}

4.9748 = {(\frac{3.8}{(\frac{3.1416}{4}) \cdot ((\frac{120}{360 \cdot \frac{3.1416}{180}}) - (\frac{\sin (120)}{2 \cdot 3.1416}))})}^{\frac{1}{2}}

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Diameter of pipe given Area of Cross-section Solution

Follow our step by step solution on how to calculate Diameter of pipe given Area of Cross-section?

FIRST Step Consider the formula

D pipe = {(\frac{a}{(\frac{π}{4}) \cdot ((\frac{∠ central}{360 \cdot \frac{π}{180}}) - (\frac{\sin (∠ central)}{2 \cdot π}))})}^{\frac{1}{2}}

Next Step Substitute values of Variables

∴

D pipe = {(\frac{3.8m²}{(\frac{π}{4}) \cdot ((\frac{120°}{360 \cdot \frac{π}{180}}) - (\frac{\sin (120°)}{2 \cdot π}))})}^{\frac{1}{2}}

Next Step Substitute values of Constants

∴

D pipe = {(\frac{3.8m²}{(\frac{3.1416}{4}) \cdot ((\frac{120°}{360 \cdot \frac{3.1416}{180}}) - (\frac{\sin (120°)}{2 \cdot 3.1416}))})}^{\frac{1}{2}}

Next Step Convert Units

∴

D pipe = {(\frac{3.8m²}{(\frac{3.1416}{4}) \cdot ((\frac{2.0944rad}{360 \cdot \frac{3.1416}{180}}) - (\frac{\sin (2.0944rad)}{2 \cdot 3.1416}))})}^{\frac{1}{2}}

Next Step Prepare to Evaluate

∴

D pipe = {(\frac{3.8}{(\frac{3.1416}{4}) \cdot ((\frac{2.0944}{360 \cdot \frac{3.1416}{180}}) - (\frac{\sin (2.0944)}{2 \cdot 3.1416}))})}^{\frac{1}{2}}

Next Step Evaluate

∴

D pipe = 4.97476126860295m

LAST Step Rounding Answer

∴

D pipe = 4.9748m

Diameter of pipe given Area of Cross-section Formula Elements

Variables

Constants

Functions

Diameter of Pipe

Diameter of Pipe is the diameter of the pipe in which the liquid is flowing.

Symbol: D_pipe

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Pipe

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

Central Angle

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.

Symbol: ∠_central

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Central Angle

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other Formulas to find Diameter of Pipe

Go Diameter of Pipe using Hydraulic Mean Depth

D pipe = \frac{r pf}{(\frac{1}{4}) \cdot (1 - (\frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central}))}

Other formulas in Circular Sewer Section Running Full category

Go Hydraulic Mean Depth using Central Angle

r pf = (\frac{D pipe}{4}) \cdot (1 - (\frac{(360 \cdot \frac{π}{180}) \cdot \sin (∠ central)}{2 \cdot π \cdot ∠ central}))

Go Discharge when Pipe is Running Full

Q = V \cdot A

Go Area of Cross-Section given Discharge

A = \frac{Q}{V}

Go Velocity while Running Full given Discharge

V = \frac{Q}{A}

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

Diameter of pipe given Area of Cross-section evaluator uses Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2) to evaluate 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 evaluate Diameter of pipe given Area of Cross-section using this online evaluator? To use this online evaluator for Diameter of pipe given Area of Cross-section, enter Area of Partially Full Sewers (a) & Central Angle (∠_central) and hit the calculate button.

FAQs on Diameter of pipe given Area of Cross-section

What is the formula to find Diameter of pipe given Area of Cross-section?

The formula of Diameter of pipe given Area of Cross-section is expressed as Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2). Here is an example- 19.70515 = (3.8/((pi/4)*((central_angle/(360*pi/180))-(sin(central_angle)/(2*pi)))))^(1/2).

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

With Area of Partially Full Sewers (a) & Central Angle (∠_central) we can find Diameter of pipe given Area of Cross-section using the formula - Diameter of Pipe = (Area of Partially Full Sewers/((pi/4)*((Central Angle/(360*pi/180))-(sin(Central Angle)/(2*pi)))))^(1/2). This formula also uses Archimedes' constant and Sine (sin) function(s).

What are the other ways to Calculate Diameter of Pipe?

Here are the different ways to Calculate Diameter of Pipe-

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

Can the Diameter of pipe given Area of Cross-section be negative?

No, the Diameter of pipe given Area of Cross-section, measured in Length cannot be negative.

Which unit is used to measure Diameter of pipe given Area of Cross-section?

Diameter of pipe given Area of Cross-section is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Diameter of pipe given Area of Cross-section can be measured.

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