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Angle of Sector given Top Width Calculator

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✖Top Width of Circular Channel is defined as width at top of section.ⓘ Top Width of Circular Channel [T_cir]			+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 Top Width [θ_Angle]

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Angle of Sector given Top Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section))
θ_Angle = 2*asin((T_cir/d_section))
This formula uses 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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

Top Width of Circular Channel: 0.137 Meter --> 0.137 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 = 2*asin((T_cir/d_section)) --> 2*asin((0.137/5))

Evaluating ... ...

θ_Angle = 0.0548068592589319

STEP 3: Convert Result to Output's Unit

0.0548068592589319 Radian -->3.14020172390489 Degree (Check conversion here)

FINAL ANSWER

3.14020172390489 ≈ 3.140202 Degree <-- Subtended Angle in Radians

(Calculation completed in 00.020 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 Top Width Formula

LaTeX Go

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

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 Angle of Sector given Top Width?

Angle of Sector given Top Width calculator uses Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section)) to calculate the Subtended Angle in Radians, Angle of Sector given Top Width formula is defined as The angle formed by two radii of a circle, where the length of the arc between them equals the top width of the sector. Subtended Angle in Radians is denoted by θ_Angle symbol.

How to calculate Angle of Sector given Top Width using this online calculator? To use this online calculator for Angle of Sector given Top Width, enter Top Width of Circular Channel (T_cir) & Diameter of Section (d_section) and hit the calculate button. Here is how the Angle of Sector given Top Width calculation can be explained with given input values -> 179.9203 = 2*asin((0.137/5)).

FAQ

What is Angle of Sector given Top Width?

Angle of Sector given Top Width formula is defined as The angle formed by two radii of a circle, where the length of the arc between them equals the top width of the sector and is represented as θ_Angle = 2*asin((T_cir/d_section)) or Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section)). Top Width of Circular Channel is defined as width at top of section & 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 Top Width?

Angle of Sector given Top Width formula is defined as The angle formed by two radii of a circle, where the length of the arc between them equals the top width of the sector is calculated using Subtended Angle in Radians = 2*asin((Top Width of Circular Channel/Diameter of Section)). To calculate Angle of Sector given Top Width, you need Top Width of Circular Channel (T_cir) & Diameter of Section (d_section). With our tool, you need to enter the respective value for Top Width of Circular 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 Top Width of Circular Channel & Diameter of Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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