Wetted Perimeter 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 Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter for circle [p]

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Formula

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Wetted Perimeter for circle

Formula

`"p" = 0.5*"θ"_{"Angle"}*"d"_{"section"}*180/pi`

Example

`"7.85m"=0.5*"3.14°"*"5m"*180/pi`

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Download Geometrical Properties of Circular Channel Section Formulas PDF PDF Image

Wetted Perimeter for circle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Wetted Perimeter of Channel = 0.5*Subtended Angle in Radians*Diameter of Section*180/pi
p = 0.5*θ_Angle*d_section*180/pi
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

p = 0.5*θ_Angle*d_section*180/pi --> 0.5*0.0548033385126116*5*180/pi

Evaluating ... ...

p = 7.84999999999852

STEP 3: Convert Result to Output's Unit

7.84999999999852 Meter --> No Conversion Required

FINAL ANSWER

7.84999999999852 ≈ 7.85 Meter <-- Wetted Perimeter of Channel

(Calculation completed in 00.004 seconds)

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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 Perimeter for circle Formula

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

What is Circular Section?

A circle has the least perimeter for a given area of any geometric shape. Semi-circular open channel will discharge more water than any other shape (assuming that the area, slope and surface roughness are the same). Semi-circular shape/circular shape are practical for concrete and steel pipes.

How to Calculate Wetted Perimeter for circle?

Wetted Perimeter for circle calculator uses Wetted Perimeter of Channel = 0.5*Subtended Angle in Radians*Diameter of Section*180/pi to calculate the Wetted Perimeter of Channel, The Wetted Perimeter for circle is defined as amount of surface being wet with water in the circular section of the open channel flow. Wetted Perimeter of Channel is denoted by p symbol.

How to calculate Wetted Perimeter for circle using this online calculator? To use this online calculator for Wetted Perimeter for circle, enter Subtended Angle in Radians (θ_Angle) & Diameter of Section (d_section) and hit the calculate button. Here is how the Wetted Perimeter for circle calculation can be explained with given input values -> 7.85 = 0.5*0.0548033385126116*5*180/pi.

FAQ

What is Wetted Perimeter for circle?

The Wetted Perimeter for circle is defined as amount of surface being wet with water in the circular section of the open channel flow and is represented as p = 0.5*θ_Angle*d_section*180/pi or Wetted Perimeter of Channel = 0.5*Subtended Angle in Radians*Diameter of Section*180/pi. 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 Perimeter for circle?

The Wetted Perimeter for circle is defined as amount of surface being wet with water in the circular section of the open channel flow is calculated using Wetted Perimeter of Channel = 0.5*Subtended Angle in Radians*Diameter of Section*180/pi. To calculate Wetted Perimeter 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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