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Diameter of Section given Wetted Perimeter Calculator

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✖Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body.ⓘ Wetted Perimeter of Channel [p]			+10% -10%
✖Subtended Angle in Radians is the angle made by something from a given viewpoint.ⓘ Subtended Angle in Radians [θ_Angle]			+10% -10%

✖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 given Wetted Perimeter [d_section]

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Diameter of Section given Wetted Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

Wetted Perimeter of Channel: 16 Meter --> 16 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

d_section = p/(0.5*θ_Angle*(180/pi)) --> 16/(0.5*0.0548033385126116*(180/pi))

Evaluating ... ...

d_section = 10.1910828025497

STEP 3: Convert Result to Output's Unit

10.1910828025497 Meter --> No Conversion Required

FINAL ANSWER

10.1910828025497 ≈ 10.19108 Meter <-- Diameter of Section

(Calculation completed in 00.004 seconds)

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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)

Diameter of Section given Wetted Perimeter Formula

LaTeX Go

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

Diameter of Section given Wetted Perimeter calculator uses Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)) to calculate the Diameter of Section, Diameter of Section given Wetted Perimeter is defined as the characteristic size of a cross-sectional area in a water body or conduit determined using the length of the wetted perimeter, denoting the distance of water contact. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Wetted Perimeter using this online calculator? To use this online calculator for Diameter of Section given Wetted Perimeter, enter Wetted Perimeter of Channel (p) & Subtended Angle in Radians (θ_Angle) and hit the calculate button. Here is how the Diameter of Section given Wetted Perimeter calculation can be explained with given input values -> 10.19108 = 16/(0.5*0.0548033385126116*(180/pi)).

FAQ

What is Diameter of Section given Wetted Perimeter?

Diameter of Section given Wetted Perimeter is defined as the characteristic size of a cross-sectional area in a water body or conduit determined using the length of the wetted perimeter, denoting the distance of water contact and is represented as d_section = p/(0.5*θ_Angle*(180/pi)) or Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)). 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 is the angle made by something from a given viewpoint.

How to calculate Diameter of Section given Wetted Perimeter?

Diameter of Section given Wetted Perimeter is defined as the characteristic size of a cross-sectional area in a water body or conduit determined using the length of the wetted perimeter, denoting the distance of water contact is calculated using Diameter of Section = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi)). To calculate Diameter of Section given Wetted Perimeter, you need Wetted Perimeter of Channel (p) & Subtended Angle in Radians (θ_Angle). With our tool, you need to enter the respective value for Wetted Perimeter of Channel & 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.

How many ways are there to calculate Diameter of Section?

In this formula, Diameter of Section uses Wetted Perimeter of Channel & Subtended Angle in Radians. We can use 3 other way(s) to calculate the same, which is/are as follows -

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 = 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)

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