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Diameter of Section given Wetted Area Formula

GoDiameter of Section given Wetted Perimeter Formula

GoDiameter of Section given Hydraulic Radius for Channel Formula

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The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle. Check FAQs

d section = \sqrt{\frac{(\frac{180}{π}) \cdot (θ Angle) - (8 \cdot A w(cir))}{\sin (θ Angle)}}

d_section - Diameter of Section?θ_Angle - Subtended Angle in Radians?A_w(cir) - Wetted Surface Area of Circular Channel?π - Archimedes' constant?

Diameter of Section given Wetted Area Example

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Here is how the Diameter of Section given Wetted Area equation looks like with Values.

Here is how the Diameter of Section given Wetted Area equation looks like with Units.

Here is how the Diameter of Section given Wetted Area equation looks like.

5.0047 = \sqrt{\frac{(\frac{180}{3.1416}) \cdot (3.14) - (8 \cdot 0.221)}{\sin (3.14)}}

5.0047m = \sqrt{\frac{(\frac{180}{3.1416}) \cdot (3.14°) - (8 \cdot 0.221m²)}{\sin (3.14°)}}

5.0047 = \sqrt{\frac{(\frac{180}{3.1416}) \cdot (3.14) - (8 \cdot 0.221)}{\sin (3.14)}}

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Diameter of Section given Wetted Area Solution

Follow our step by step solution on how to calculate Diameter of Section given Wetted Area?

FIRST Step Consider the formula

d section = \sqrt{\frac{(\frac{180}{π}) \cdot (θ Angle) - (8 \cdot A w(cir))}{\sin (θ Angle)}}

Next Step Substitute values of Variables

∴

d section = \sqrt{\frac{(\frac{180}{π}) \cdot (3.14°) - (8 \cdot 0.221m²)}{\sin (3.14°)}}

Next Step Substitute values of Constants

∴

d section = \sqrt{\frac{(\frac{180}{3.1416}) \cdot (3.14°) - (8 \cdot 0.221m²)}{\sin (3.14°)}}

Next Step Convert Units

∴

d section = \sqrt{\frac{(\frac{180}{3.1416}) \cdot (0.0548rad) - (8 \cdot 0.221m²)}{\sin (0.0548rad)}}

Next Step Prepare to Evaluate

∴

d section = \sqrt{\frac{(\frac{180}{3.1416}) \cdot (0.0548) - (8 \cdot 0.221)}{\sin (0.0548)}}

Next Step Evaluate

∴

d section = 5.00474847169947m

LAST Step Rounding Answer

∴

d section = 5.0047m

Diameter of Section given Wetted Area Formula Elements

Variables

Constants

Functions

Diameter of Section

The Diameter of Section refers to the length of the segment that passes through the center of the circle and touches two points on the edge of the circle.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

Subtended Angle in Radians

Subtended Angle in Radians is the angle made by something from a given viewpoint.

Symbol: θ_Angle

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Subtended Angle in Radians

Wetted Surface Area of Circular Channel

Wetted Surface Area of Circular Channel [length^2] is the total area of outer surface in contact with the surrounding water.

Symbol: A_w(cir)

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Wetted Surface Area of Circular Channel

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Diameter of Section

Go Diameter of Section given Wetted Perimeter

d section = \frac{p}{0.5 \cdot θ Angle \cdot (\frac{180}{π})}

Go Diameter of Section given Hydraulic Radius for Channel

d section = \frac{R h(cir)}{0.25 \cdot (1 - (\frac{\sin (θ Angle)}{(\frac{180}{π}) \cdot θ Angle}))}

Go Diameter of Section given Top Width

d section = \frac{T cir}{\sin (\frac{θ Angle}{2})}

Go Diameter of Section given Hydraulic Depth

d section = \frac{D cir}{0.125 \cdot ((θ Angle \cdot (\frac{180}{π})) - \frac{\sin (θ Angle)}{\sin (\frac{θ Angle}{2})})}

Other formulas in Geometrical Properties of Circular Channel Section category

Go Wetted Area for Circle

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{π}) \cdot θ Angle - \sin (θ Angle) \cdot ({d section}^{2}))

Go Angle of Sector given Wetted Perimeter

θ Angle = \frac{p}{0.5 \cdot d section} \cdot (\frac{π}{180})

Go Wetted Perimeter for circle

p = 0.5 \cdot θ Angle \cdot d section \cdot \frac{180}{π}

Go Hydraulic Radius given Angle

R h(cir) = 0.25 \cdot d section \cdot (1 - \frac{\sin (θ Angle)}{\frac{180}{π}} \cdot θ Angle)

How to Evaluate Diameter of Section given Wetted Area?

Diameter of Section given Wetted Area evaluator uses Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians)) to evaluate the Diameter of Section, The Diameter of Section given Wetted Area is defined as the diameter of an object immersed in a fluid using its wetted area, which represents the portion submerged in the liquid. Diameter of Section is denoted by d_section symbol.

How to evaluate Diameter of Section given Wetted Area using this online evaluator? To use this online evaluator for Diameter of Section given Wetted Area, enter Subtended Angle in Radians (θ_Angle) & Wetted Surface Area of Circular Channel (A_w(cir)) and hit the calculate button.

FAQs on Diameter of Section given Wetted Area

What is the formula to find Diameter of Section given Wetted Area?

The formula of Diameter of Section given Wetted Area is expressed as Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians)). Here is an example- 5.004748 = sqrt(((180/pi)*(0.0548033385126116)-(8*0.221))/sin(0.0548033385126116)).

How to calculate Diameter of Section given Wetted Area?

With Subtended Angle in Radians (θ_Angle) & Wetted Surface Area of Circular Channel (A_w(cir)) we can find Diameter of Section given Wetted Area using the formula - Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians)). This formula also uses Archimedes' constant and , Sine (sin), Square Root (sqrt) function(s).

What are the other ways to Calculate Diameter of Section?

Here are the different ways to Calculate Diameter of Section-

Diameter of Section=Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))
Diameter of Section=Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians))))
Diameter of Section=Top Width of Circular Channel/sin(Subtended Angle in Radians/2)

Can the Diameter of Section given Wetted Area be negative?

No, the Diameter of Section given Wetted Area, measured in Length cannot be negative.

Which unit is used to measure Diameter of Section given Wetted Area?

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

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Diameter of Section given Wetted Area Formula

​GoDiameter of Section given Wetted Perimeter Formula

​GoDiameter of Section given Hydraulic Radius for Channel Formula

Diameter of Section given Wetted Area Example

Diameter of Section given Wetted Area Solution

Diameter of Section given Wetted Area Formula Elements

Other Formulas to find Diameter of Section

Other formulas in Geometrical Properties of Circular Channel Section category

How to Evaluate Diameter of Section given Wetted Area?

FAQs on Diameter of Section given Wetted Area

Variable Name

GoDiameter of Section given Wetted Perimeter Formula

GoDiameter of Section given Hydraulic Radius for Channel Formula