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Top Width for Circle Calculator

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✖Diameter of Section is the diameter of the circular cross-section of the beam.ⓘ Diameter of Section [dsection]
+10%
-10%
✖Subtended Angle in Radians is the angle made by something from a given viewpoint.ⓘ Subtended Angle in Radians [θAngle]
+10%
-10%
✖Top Width of Circular Channel is defined as width at top of section.ⓘ Top Width for Circle [Tcir]
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Top Width for Circle

Formula
`"T"_{"cir"} = "d"_{"section"}*sin("θ"_{"Angle"}/2)`

Example
`"0.136991m"="5m"*sin("3.14°"/2)`

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Top Width for Circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Top Width of Circular Channel = Diameter of Section*sin(Subtended Angle in Radians/2)
Tcir = dsection*sin(θAngle/2)
This formula uses 1 Functions, 3 Variables
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
Top Width of Circular Channel - (Measured in Meter) - Top Width of Circular Channel is defined as width at top of section.
Diameter of Section - (Measured in Meter) - Diameter of Section is the diameter of the circular cross-section of the beam.
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
Diameter of Section: 5 Meter --> 5 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
Tcir = dsection*sin(θAngle/2) --> 5*sin(0.0548033385126116/2)
Evaluating ... ...
Tcir = 0.136991201438652
STEP 3: Convert Result to Output's Unit
0.136991201438652 Meter --> No Conversion Required
FINAL ANSWER
0.136991201438652 ≈ 0.136991 Meter <-- Top Width of Circular Channel
(Calculation completed in 00.010 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 » Top Width for Circle

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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)

Top Width for Circle Formula

Top Width of Circular Channel = Diameter of Section*sin(Subtended Angle in Radians/2)
Tcir = dsection*sin(θAngle/2)

What is Open Channel Flow?

Open-channel flow, a branch of hydraulics and fluid mechanics, is a type of liquid flow within a conduit or in channel with a free surface, known as a channel. The other type of flow within a conduit is pipe flow. These two types of flow are similar in many ways but differ in one important respect: the free surface.

How to Calculate Top Width for Circle?

Top Width for Circle calculator uses Top Width of Circular Channel = Diameter of Section*sin(Subtended Angle in Radians/2) to calculate the Top Width of Circular Channel, The Top Width for Circle formula is defined as sector length measured along the diametrical axis of the channel in flow. Top Width of Circular Channel is denoted by Tcir symbol.

How to calculate Top Width for Circle using this online calculator? To use this online calculator for Top Width for Circle, enter Diameter of Section (dsection) & Subtended Angle in Radians (θAngle) and hit the calculate button. Here is how the Top Width for Circle calculation can be explained with given input values -> 0.136991 = 5*sin(0.0548033385126116/2).

FAQ

What is Top Width for Circle?
The Top Width for Circle formula is defined as sector length measured along the diametrical axis of the channel in flow and is represented as Tcir = dsection*sin(θAngle/2) or Top Width of Circular Channel = Diameter of Section*sin(Subtended Angle in Radians/2). Diameter of Section is the diameter of the circular cross-section of the beam & Subtended Angle in Radians is the angle made by something from a given viewpoint.
How to calculate Top Width for Circle?
The Top Width for Circle formula is defined as sector length measured along the diametrical axis of the channel in flow is calculated using Top Width of Circular Channel = Diameter of Section*sin(Subtended Angle in Radians/2). To calculate Top Width for Circle, you need Diameter of Section (dsection) & Subtended Angle in Radians (θAngle). With our tool, you need to enter the respective value for Diameter of Section & 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.
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