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Diameter of Section 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%
✖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 Top Width [d_section]

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Diameter of Section given Top Width Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Top Width of Circular Channel - (Measured in Meter) - Top Width of Circular Channel is defined as width at top of section.
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

Top Width of Circular Channel: 0.137 Meter --> 0.137 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 = T_cir/sin(θ_Angle/2) --> 0.137/sin(0.0548033385126116/2)

Evaluating ... ...

d_section = 5.00032113600201

STEP 3: Convert Result to Output's Unit

5.00032113600201 Meter --> No Conversion Required

FINAL ANSWER

5.00032113600201 ≈ 5.000321 Meter <-- Diameter of Section

(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)

Diameter of Section given Top Width Formula

LaTeX Go

Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2)
d_section = T_cir/sin(θ_Angle/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 Diameter of Section given Top Width?

Diameter of Section given Top Width calculator uses Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2) to calculate the Diameter of Section, Diameter of Section given Top Width formula is defined as the maximum amount of water that can be stored in section. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Top Width using this online calculator? To use this online calculator for Diameter of Section given Top Width, enter Top Width of Circular Channel (T_cir) & Subtended Angle in Radians (θ_Angle) and hit the calculate button. Here is how the Diameter of Section given Top Width calculation can be explained with given input values -> 5.000321 = 0.137/sin(0.0548033385126116/2).

FAQ

What is Diameter of Section given Top Width?

Diameter of Section given Top Width formula is defined as the maximum amount of water that can be stored in section and is represented as d_section = T_cir/sin(θ_Angle/2) or Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2). Top Width of Circular Channel is defined as width at top of section & Subtended Angle in Radians is the angle made by something from a given viewpoint.

How to calculate Diameter of Section given Top Width?

Diameter of Section given Top Width formula is defined as the maximum amount of water that can be stored in section is calculated using Diameter of Section = Top Width of Circular Channel/sin(Subtended Angle in Radians/2). To calculate Diameter of Section given Top Width, you need Top Width of Circular Channel (T_cir) & Subtended Angle in Radians (θ_Angle). With our tool, you need to enter the respective value for Top Width of Circular 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 Top Width of Circular 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 = Wetted Perimeter of Channel/(0.5*Subtended Angle in Radians*(180/pi))
Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians))))

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