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Section Factor for Circle Calculator

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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.ⓘ Diameter of Section [d_section]			+10% -10%
✖Subtended Angle in Radians is the angle made by something from a given viewpoint.ⓘ Subtended Angle in Radians [θ_Angle]			+10% -10%

✖Section Factor of Circular Channel is ratio of normal to critical channel depth.ⓘ Section Factor for Circle [Z_cir]

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Download Geometrical Properties of Circular Channel Section Formulas PDF PDF Image

Section Factor for Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Section Factor of Circular Channel = (((sqrt(2))/32)*(Diameter of Section^2.5)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5))
Z_cir = (((sqrt(2))/32)*(d_section^2.5)*(((180/pi)*θ_Angle-sin(θ_Angle))^1.5)/((sin(θ_Angle/2))^0.5))
This formula uses 1 Constants, 2 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)
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., sqrt(Number)

Variables Used

Section Factor of Circular Channel - (Measured in Meter^2.5) - Section Factor of Circular Channel is ratio of normal to critical channel depth.
Diameter of Section - (Measured in Meter) - 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.
Subtended Angle in Radians - (Measured in Radian) - Subtended Angle in Radians is the angle made by something from a given viewpoint.

STEP 1: Convert Input(s) to Base Unit

Diameter of Section: 5 Meter --> 5 Meter No Conversion Required
Subtended Angle in Radians: 3.14 Degree --> 0.0548033385126116 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Z_cir = (((sqrt(2))/32)*(d_section^2.5)*(((180/pi)*θ_Angle-sin(θ_Angle))^1.5)/((sin(θ_Angle/2))^0.5)) --> (((sqrt(2))/32)*(5^2.5)*(((180/pi)*0.0548033385126116-sin(0.0548033385126116))^1.5)/((sin(0.0548033385126116/2))^0.5))

Evaluating ... ...

Z_cir = 80.883282114459

STEP 3: Convert Result to Output's Unit

80.883282114459 Meter^2.5 --> No Conversion Required

FINAL ANSWER

80.883282114459 ≈ 80.88328 Meter^2.5 <-- Section Factor of Circular Channel

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Geometrical Properties of Circular Channel Section » Section Factor for Circle

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< Geometrical Properties of Circular Channel Section Calculators

Diameter of Section given Wetted Area

LaTeX Go Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))

Wetted Area for Circle

LaTeX Go Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2))

Diameter of Section given Wetted Perimeter

LaTeX Go Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))

Angle of Sector given Wetted Perimeter

LaTeX Go Subtended Angle in Radians = Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180)

Section Factor for Circle Formula

LaTeX Go

What is Section Factor?

The section Factor for critical flow The section factor for critical flow computation (Z) is the product of the water area and the square root of the hydraulic depth.

How to Calculate Section Factor for Circle?

Section Factor for Circle calculator uses Section Factor of Circular Channel = (((sqrt(2))/32)*(Diameter of Section^2.5)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)) to calculate the Section Factor of Circular Channel, The Section Factor for Circle is defined as the ratio depending on the angle and geometrical property of section. Section Factor of Circular Channel is denoted by Z_cir symbol.

How to calculate Section Factor for Circle using this online calculator? To use this online calculator for Section Factor for Circle, enter Diameter of Section (d_section) & Subtended Angle in Radians (θ_Angle) and hit the calculate button. Here is how the Section Factor for Circle calculation can be explained with given input values -> 80.88328 = (((sqrt(2))/32)*(5^2.5)*(((180/pi)*0.0548033385126116-sin(0.0548033385126116))^1.5)/((sin(0.0548033385126116/2))^0.5)).

FAQ

What is Section Factor for Circle?

The Section Factor for Circle is defined as the ratio depending on the angle and geometrical property of section and is represented as Z_cir = (((sqrt(2))/32)*(d_section^2.5)*(((180/pi)*θ_Angle-sin(θ_Angle))^1.5)/((sin(θ_Angle/2))^0.5)) or Section Factor of Circular Channel = (((sqrt(2))/32)*(Diameter of Section^2.5)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)). 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 & Subtended Angle in Radians is the angle made by something from a given viewpoint.

How to calculate Section Factor for Circle?

The Section Factor for Circle is defined as the ratio depending on the angle and geometrical property of section is calculated using Section Factor of Circular Channel = (((sqrt(2))/32)*(Diameter of Section^2.5)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)). To calculate Section Factor for Circle, you need Diameter of Section (d_section) & Subtended Angle in Radians (θ_Angle). With our tool, you need to enter the respective value for Diameter of Section & Subtended Angle in Radians and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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