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)
θAngle = p/(0.5*dsection)*(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) - Diameter of Section is the diameter of the circular cross-section of the beam.
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
θAngle = p/(0.5*dsection)*(pi/180) --> 16/(0.5*5)*(pi/180)
Evaluating ... ...
θAngle = 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)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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National Institute of Technology (NIT), Warangal
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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)

Angle of Sector given Wetted Perimeter Formula

Subtended Angle in Radians = Wetted Perimeter of Channel/(0.5*Diameter of Section)*(pi/180)
θAngle = p/(0.5*dsection)*(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 θAngle 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 (dsection) 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 θAngle = p/(0.5*dsection)*(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 & Diameter of Section is the diameter of the circular cross-section of the beam.
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 (dsection). 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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