Diameter of Section given Wetted Area Calculator

✖Subtended Angle in Radians is the angle made by something from a given viewpoint.ⓘ Subtended Angle in Radians [θ_Angle]			+10% -10%
✖Wetted Surface Area of Circular Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Surface Area of Circular Channel [A_w(cir)]			+10% -10%

✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section given Wetted Area [d_section]

⎘ Copy

👎

Formula

✖

Diameter of Section given Wetted Area

Formula

`"d"_{"section"} = sqrt(((180/pi)*("θ"_{"Angle"})-(8*"A"_{"w(cir)"}))/sin("θ"_{"Angle"})) `

Example

`"5.004748m"=sqrt(((180/pi)*("3.14°")-(8*"0.221m²"))/sin("3.14°")) `

Calculator

LaTeX

Reset

👍

Download Geometrical Properties of Circular Channel Section Formulas PDF

Diameter of Section given Wetted Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians))
d_section = sqrt(((180/pi)*(θ_Angle)-(8*A_w(cir)))/sin(θ_Angle))
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

Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
Subtended Angle in Radians - (Measured in Radian) - Subtended Angle in Radians is the angle made by something from a given viewpoint.
Wetted Surface Area of Circular Channel - (Measured in Square Meter) - Wetted Surface Area of Circular Channel [length^2] is the total area of outer surface in contact with the surrounding water.

STEP 1: Convert Input(s) to Base Unit

Subtended Angle in Radians: 3.14 Degree --> 0.0548033385126116 Radian (Check conversion here)
Wetted Surface Area of Circular Channel: 0.221 Square Meter --> 0.221 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_section = sqrt(((180/pi)*(θ_Angle)-(8*A_w(cir)))/sin(θ_Angle)) --> sqrt(((180/pi)*(0.0548033385126116)-(8*0.221))/sin(0.0548033385126116))

Evaluating ... ...

d_section = 5.00474847169947

STEP 3: Convert Result to Output's Unit

5.00474847169947 Meter --> No Conversion Required

FINAL ANSWER

5.00474847169947 ≈ 5.004748 Meter <-- Diameter of Section

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Flow in Open Channels » Geometrical Properties of Channel Section » Geometrical Properties of Circular Channel Section » Diameter of Section given Wetted Area

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 2600+ more calculators!

< 14 Geometrical Properties of Circular Channel Section Calculators

Diameter of Section given Section Factor

Go Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5)

Section Factor for Circle

Go 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))

Diameter of Section given Hydraulic Depth

Go Diameter of Section = Hydraulic Depth of Circular Channel/(0.125*((Subtended Angle in Radians*(180/pi))-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2)))

Hydraulic Depth of Circle

Go Hydraulic Depth of Circular Channel = (Diameter of Section*0.125)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2))

Diameter of Section given Wetted Area

Go 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 given Hydraulic Radius for Channel

Go Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians))))

Wetted Area for Circle

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

Hydraulic Radius given Angle

Go Hydraulic Radius of Circular Channel = 0.25*Diameter of Section*(1-sin(Subtended Angle in Radians)/(180/pi)*Subtended Angle in Radians)

Diameter of Section given Wetted Perimeter

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

Angle of Sector given Wetted Perimeter

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

Wetted Perimeter for circle

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

Angle of Sector given Top Width

Go Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section))

Diameter of Section given Top Width

Go Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2)

Top Width for Circle

Go Top Width of Circular Channel = Diameter of Section*sin(Subtended Angle in Radians/2)

Diameter of Section given Wetted Area Formula

What is Wetted Area?

The surface area that interacts with the working fluid or gas. In maritime use, the wetted area is the area of the hull which is immersed in water. In aeronautics, the wetted area is the area which is in contact with the external airflow. This has a direct relationship on the overall aerodynamic drag of the aircraft.

How to Calculate Diameter of Section given Wetted Area?

Diameter of Section given Wetted Area calculator uses Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians)) to calculate 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 calculate Diameter of Section given Wetted Area using this online calculator? To use this online calculator 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. Here is how the Diameter of Section given Wetted Area calculation can be explained with given input values -> 5.004748 = sqrt(((180/pi)*(0.0548033385126116)-(8*0.221))/sin(0.0548033385126116)) .

FAQ

What is Diameter of Section given Wetted Area?

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 and is represented as d_section = sqrt(((180/pi)*(θ_Angle)-(8*A_w(cir)))/sin(θ_Angle)) or Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians)). Subtended Angle in Radians is the angle made by something from a given viewpoint & Wetted Surface Area of Circular Channel [length^2] is the total area of outer surface in contact with the surrounding water.

How to calculate Diameter of Section given Wetted Area?

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 is calculated using Diameter of Section = sqrt(((180/pi)*(Subtended Angle in Radians)-(8*Wetted Surface Area of Circular Channel))/sin(Subtended Angle in Radians)). To calculate Diameter of Section given Wetted Area, you need Subtended Angle in Radians (θ_Angle) & Wetted Surface Area of Circular Channel (A_w(cir)). With our tool, you need to enter the respective value for Subtended Angle in Radians & Wetted Surface Area of Circular Channel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Diameter of Section?

In this formula, Diameter of Section uses Subtended Angle in Radians & Wetted Surface Area of Circular Channel. We can use 5 other way(s) to calculate the same, which is/are as follows -

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)
Diameter of Section = Hydraulic Depth of Circular Channel/(0.125*((Subtended Angle in Radians*(180/pi))-sin(Subtended Angle in Radians)/sin(Subtended Angle in Radians/2)))
Diameter of Section = (Section Factor of Circular Channel/(((sqrt(2))/32)*(((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians))^1.5)/((sin(Subtended Angle in Radians/2))^0.5)))^(2/5)

Home

FREE PDFs

🔍 Search