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Angle of Sector 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%
✖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.ⓘ Angle of Sector given Wetted Perimeter [θ_Angle]

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Angle of Sector given Wetted Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Subtended Angle in Radians - (Measured in Radian) - Subtended Angle in Radians is the angle made by something from a given viewpoint.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Wetted Perimeter of Channel: 16 Meter --> 16 Meter No Conversion Required
Diameter of Section: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ_Angle = p/(0.5*d_section)*(pi/180) --> 16/(0.5*5)*(pi/180)

Evaluating ... ...

θ_Angle = 0.111701072127637

STEP 3: Convert Result to Output's Unit

0.111701072127637 Radian -->6.4000000000012 Degree (Check conversion here)

FINAL ANSWER

6.4000000000012 ≈ 6.4 Degree <-- Subtended Angle in Radians

(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)

Angle of Sector given Wetted Perimeter Formula

LaTeX Go

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

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 Angle of Sector given Wetted Perimeter?

Angle of Sector given Wetted Perimeter calculator uses Subtended Angle in Radians = Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180) to calculate the Subtended Angle in Radians, Angle of Sector given Wetted Perimeter is defined as the angle made by sides on center of channel. Subtended Angle in Radians is denoted by θ_Angle symbol.

How to calculate Angle of Sector given Wetted Perimeter using this online calculator? To use this online calculator for Angle of Sector given Wetted Perimeter, enter Wetted Perimeter of Channel (p) & Diameter of Section (d_section) and hit the calculate button. Here is how the Angle of Sector given Wetted Perimeter calculation can be explained with given input values -> 366.693 = 16/(0.5*5)*(pi/180).

FAQ

What is Angle of Sector given Wetted Perimeter?

Angle of Sector given Wetted Perimeter is defined as the angle made by sides on center of channel and is represented as θ_Angle = p/(0.5*d_section)*(pi/180) or Subtended Angle in Radians = Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180). Wetted Perimeter of Channel is defined as the surface of the channel bottom and sides in direct contact with the aqueous body & 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.

How to calculate Angle of Sector given Wetted Perimeter?

Angle of Sector given Wetted Perimeter is defined as the angle made by sides on center of channel is calculated using Subtended Angle in Radians = Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180). To calculate Angle of Sector given Wetted Perimeter, you need Wetted Perimeter of Channel (p) & Diameter of Section (d_section). With our tool, you need to enter the respective value for Wetted Perimeter of Channel & Diameter of Section 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 Subtended Angle in Radians?

In this formula, Subtended Angle in Radians uses Wetted Perimeter of Channel & Diameter of Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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