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Diameter of Section given Wetted Perimeter Formula

GoDiameter of Section given Wetted Area 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 = \frac{p}{0.5 \cdot θ Angle \cdot (\frac{180}{π})}

d_section - Diameter of Section?p - Wetted Perimeter of Channel?θ_Angle - Subtended Angle in Radians?π - Archimedes' constant?

Diameter of Section given Wetted Perimeter Example

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

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

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

10.1911 = \frac{16}{0.5 \cdot 3.14 \cdot (\frac{180}{3.1416})}

10.1911m = \frac{16m}{0.5 \cdot 3.14° \cdot (\frac{180}{3.1416})}

10.1911 = \frac{16}{0.5 \cdot 3.14 \cdot (\frac{180}{3.1416})}

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Diameter of Section given Wetted Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d section = \frac{16m}{0.5 \cdot 3.14° \cdot (\frac{180}{π})}

Next Step Substitute values of Constants

∴

d section = \frac{16m}{0.5 \cdot 3.14° \cdot (\frac{180}{3.1416})}

Next Step Convert Units

∴

d section = \frac{16m}{0.5 \cdot 0.0548rad \cdot (\frac{180}{3.1416})}

Next Step Prepare to Evaluate

∴

d section = \frac{16}{0.5 \cdot 0.0548 \cdot (\frac{180}{3.1416})}

Next Step Evaluate

∴

d section = 10.1910828025497m

LAST Step Rounding Answer

∴

d section = 10.1911m

Diameter of Section given Wetted Perimeter Formula Elements

Variables

Constants

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

Wetted Perimeter of Channel

Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.

Symbol: p

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Wetted Perimeter of Channel

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

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

Other Formulas to find Diameter of Section

Go Diameter of Section given Wetted Area

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

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 Perimeter?

Diameter of Section given Wetted Perimeter evaluator uses Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)) to evaluate the Diameter of Section, Diameter of Section given Wetted Perimeter is defined as the characteristic size of a cross-sectional area in a water body or conduit determined using the length of the wetted perimeter, denoting the distance of water contact. Diameter of Section is denoted by d_section symbol.

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

FAQs on Diameter of Section given Wetted Perimeter

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

The formula of Diameter of Section given Wetted Perimeter is expressed as Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)). Here is an example- 10.19108 = 16/(0.5*0.0548033385126116*(180/pi)).

How to calculate Diameter of Section given Wetted Perimeter?

With Wetted Perimeter of Channel (p) & Subtended Angle in Radians (θ_Angle) we can find Diameter of Section given Wetted Perimeter using the formula - Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Diameter of Section?

Here are the different ways to Calculate Diameter of Section-

Diameter of Section=sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))
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 Perimeter be negative?

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

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

Diameter of Section given Wetted Perimeter 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 Perimeter can be measured.

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: Value
: Unit

Diameter of Section given Wetted Perimeter Formula

​GoDiameter of Section given Wetted Area Formula

​GoDiameter of Section given Hydraulic Radius for Channel Formula

Diameter of Section given Wetted Perimeter Example

Diameter of Section given Wetted Perimeter Solution

Diameter of Section given Wetted Perimeter 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 Perimeter?

FAQs on Diameter of Section given Wetted Perimeter

Variable Name

GoDiameter of Section given Wetted Area Formula

GoDiameter of Section given Hydraulic Radius for Channel Formula