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Diameter of Section given Top Width Formula

GoDiameter of Section given Wetted Area Formula

GoDiameter of Section given Wetted Perimeter 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{T cir}{\sin (\frac{θ Angle}{2})}

d_section - Diameter of Section?T_cir - Top Width of Circular Channel?θ_Angle - Subtended Angle in Radians?

Diameter of Section given Top Width Example

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Here is how the Diameter of Section given Top Width equation looks like with Values.

Here is how the Diameter of Section given Top Width equation looks like with Units.

Here is how the Diameter of Section given Top Width equation looks like.

5.0003 = \frac{0.137}{\sin (\frac{3.14}{2})}

5.0003m = \frac{0.137m}{\sin (\frac{3.14°}{2})}

5.0003 = \frac{0.137}{\sin (\frac{3.14}{2})}

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Diameter of Section given Top Width Solution

Follow our step by step solution on how to calculate Diameter of Section given Top Width?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d section = \frac{0.137m}{\sin (\frac{3.14°}{2})}

Next Step Convert Units

∴

d section = \frac{0.137m}{\sin (\frac{0.0548rad}{2})}

Next Step Prepare to Evaluate

∴

d section = \frac{0.137}{\sin (\frac{0.0548}{2})}

Next Step Evaluate

∴

d section = 5.00032113600201m

LAST Step Rounding Answer

∴

d section = 5.0003m

Diameter of Section given Top Width Formula Elements

Variables

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

Top Width of Circular Channel

Top Width of Circular Channel is defined as width at top of section.

Symbol: T_cir

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Top Width of Circular 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

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 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 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 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 Top Width?

Diameter of Section given Top Width evaluator uses Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2) to evaluate the Diameter of Section, Diameter of Section given Top Width formula is defined as the maximum amount of water that can be stored in section. Diameter of Section is denoted by d_section symbol.

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

FAQs on Diameter of Section given Top Width

What is the formula to find Diameter of Section given Top Width?

The formula of Diameter of Section given Top Width is expressed as Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2). Here is an example- 5.000321 = 0.137/sin(0.0548033385126116/2).

How to calculate Diameter of Section given Top Width?

With Top Width of Circular Channel (T_cir) & Subtended Angle in Radians (θ_Angle) we can find Diameter of Section given Top Width using the formula - Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2). This formula also uses Sine (sin) 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=sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))
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))))

Can the Diameter of Section given Top Width be negative?

No, the Diameter of Section given Top Width, measured in Length cannot be negative.

Which unit is used to measure Diameter of Section given Top Width?

Diameter of Section given Top Width 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 Top Width can be measured.

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: Unit

Diameter of Section given Top Width Formula

​GoDiameter of Section given Wetted Area Formula

​GoDiameter of Section given Wetted Perimeter Formula

Diameter of Section given Top Width Example

Diameter of Section given Top Width Solution

Diameter of Section given Top Width 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 Top Width?

FAQs on Diameter of Section given Top Width

Variable Name

GoDiameter of Section given Wetted Area Formula

GoDiameter of Section given Wetted Perimeter Formula