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Diameter of Section given Hydraulic Depth Calculator

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✖Hydraulic Depth of Circular Channel is defined as depth which in contact with water.ⓘ Hydraulic Depth of Circular Channel [D_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 Hydraulic Depth [d_section]

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Diameter of Section given Hydraulic Depth Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
d_section = D_cir/(0.125*((θ_Angle*(180/pi))-sin(θ_Angle)/sin(θ_Angle/2)))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Hydraulic Depth of Circular Channel - (Measured in Meter) - Hydraulic Depth of Circular Channel is defined as depth which in contact with water.
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

Hydraulic Depth of Circular Channel: 0.713 Meter --> 0.713 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 = D_cir/(0.125*((θ_Angle*(180/pi))-sin(θ_Angle)/sin(θ_Angle/2))) --> 0.713/(0.125*((0.0548033385126116*(180/pi))-sin(0.0548033385126116)/sin(0.0548033385126116/2)))

Evaluating ... ...

d_section = 5.00021562773695

STEP 3: Convert Result to Output's Unit

5.00021562773695 Meter --> No Conversion Required

FINAL ANSWER

5.00021562773695 ≈ 5.000216 Meter <-- Diameter of Section

(Calculation completed in 00.008 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 Hydraulic Depth Formula

LaTeX Go

What is Hydraulic Depth?

The cross section of water flowing through a channel or pipe divided by the wetted perimeter of the conduit.

How to Calculate Diameter of Section given Hydraulic Depth?

Diameter of Section given Hydraulic Depth calculator uses 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))) to calculate the Diameter of Section, Diameter of Section given Hydraulic Depth 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 Hydraulic Depth using this online calculator? To use this online calculator for Diameter of Section given Hydraulic Depth, enter Hydraulic Depth of Circular Channel (D_cir) & Subtended Angle in Radians (θ_Angle) and hit the calculate button. Here is how the Diameter of Section given Hydraulic Depth calculation can be explained with given input values -> 5.000216 = 0.713/(0.125*((0.0548033385126116*(180/pi))-sin(0.0548033385126116)/sin(0.0548033385126116/2))).

FAQ

What is Diameter of Section given Hydraulic Depth?

Diameter of Section given Hydraulic Depth is defined as the maximum amount of water that can be stored in section and is represented as d_section = D_cir/(0.125*((θ_Angle*(180/pi))-sin(θ_Angle)/sin(θ_Angle/2))) or 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 Circular Channel is defined as depth which in contact with water & Subtended Angle in Radians is the angle made by something from a given viewpoint.

How to calculate Diameter of Section given Hydraulic Depth?

Diameter of Section given Hydraulic Depth is defined as the maximum amount of water that can be stored in section is calculated using 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))). To calculate Diameter of Section given Hydraulic Depth, you need Hydraulic Depth of Circular Channel (D_cir) & Subtended Angle in Radians (θ_Angle). With our tool, you need to enter the respective value for Hydraulic Depth 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 Hydraulic Depth 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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