Wetted Area for Circle Calculator

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

✖Wetted Surface Area of Circular Channel [length^2] is the total area of outer surface in contact with the surrounding water.ⓘ Wetted Area for Circle [A_w(cir)]

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Formula

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Wetted Area for Circle

Formula

`"A"_{"w(cir)"} = (1/8)*((180/pi)*"θ"_{"Angle"}-sin("θ"_{"Angle"})*("d"_{"section"}^2))`

Example

`"0.221325m²"=(1/8)*((180/pi)*"3.14°"-sin("3.14°")*(("5m")^2))`

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Download Geometrical Properties of Circular Channel Section Formulas PDF

Wetted Area for Circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2))
A_w(cir) = (1/8)*((180/pi)*θ_Angle-sin(θ_Angle)*(d_section^2))
This formula uses 1 Constants, 1 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)

Variables Used

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.
Subtended Angle in Radians - (Measured in Radian) - Subtended Angle in Radians is the angle made by something from a given viewpoint.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_w(cir) = (1/8)*((180/pi)*θ_Angle-sin(θ_Angle)*(d_section^2)) --> (1/8)*((180/pi)*0.0548033385126116-sin(0.0548033385126116)*(5^2))

Evaluating ... ...

A_w(cir) = 0.221325281707978

STEP 3: Convert Result to Output's Unit

0.221325281707978 Square Meter --> No Conversion Required

FINAL ANSWER

0.221325281707978 ≈ 0.221325 Square Meter <-- Wetted Surface Area of Circular Channel

(Calculation completed in 00.020 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 » Wetted Area for Circle

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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Meerut Institute of Engineering and Technology (MIET), Meerut

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< 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)

Wetted Area for Circle 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 Wetted Area for Circle?

Wetted Area for Circle calculator uses Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2)) to calculate the Wetted Surface Area of Circular Channel, The Wetted Area for Circle is defined as area of contact with water in the channel at any point in the section of channel. Wetted Surface Area of Circular Channel is denoted by A_w(cir) symbol.

How to calculate Wetted Area for Circle using this online calculator? To use this online calculator for Wetted Area for Circle, enter Subtended Angle in Radians (θ_Angle) & Diameter of Section (d_section) and hit the calculate button. Here is how the Wetted Area for Circle calculation can be explained with given input values -> 0.221325 = (1/8)*((180/pi)*0.0548033385126116-sin(0.0548033385126116)*(5^2)).

FAQ

What is Wetted Area for Circle?

The Wetted Area for Circle is defined as area of contact with water in the channel at any point in the section of channel and is represented as A_w(cir) = (1/8)*((180/pi)*θ_Angle-sin(θ_Angle)*(d_section^2)) or Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2)). Subtended Angle in Radians is the angle made by something from a given viewpoint & Diameter of Section is the diameter of the circular cross-section of the beam.

How to calculate Wetted Area for Circle?

The Wetted Area for Circle is defined as area of contact with water in the channel at any point in the section of channel is calculated using Wetted Surface Area of Circular Channel = (1/8)*((180/pi)*Subtended Angle in Radians-sin(Subtended Angle in Radians)*(Diameter of Section^2)). To calculate Wetted Area for Circle, you need Subtended Angle in Radians (θ_Angle) & Diameter of Section (d_section). With our tool, you need to enter the respective value for Subtended Angle in Radians & Diameter of Section 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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