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Diameter of Section given Hydraulic Radius for Channel Calculator

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✖Hydraulic Radius of Circular Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.ⓘ Hydraulic Radius of Circular Channel [R_h(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 Radius for Channel [d_section]

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Diameter of Section given Hydraulic Radius for Channel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians))))
d_section = R_h(cir)/(0.25*(1-(sin(θ_Angle)/((180/pi)*θ_Angle))))
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 Radius of Circular Channel - (Measured in Meter) - Hydraulic Radius of Circular Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit.
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 Radius of Circular Channel: 1.25 Meter --> 1.25 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 = R_h(cir)/(0.25*(1-(sin(θ_Angle)/((180/pi)*θ_Angle)))) --> 1.25/(0.25*(1-(sin(0.0548033385126116)/((180/pi)*0.0548033385126116))))

Evaluating ... ...

d_section = 5.08877136352652

STEP 3: Convert Result to Output's Unit

5.08877136352652 Meter --> No Conversion Required

FINAL ANSWER

5.08877136352652 ≈ 5.088771 Meter <-- Diameter of Section

(Calculation completed in 00.004 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 Radius for Channel Formula

LaTeX Go

What is Hydraulic Radius?

Hydraulic radius, R, a measure of channel flow efficiency, is defined as the ratio of the cross-sectional area of fluid flow, A, to the length of the wetted perimeter, P. The hydraulic radius is one of the main properties that control the amount of fluid discharge of a channel and its ability to move sediments.

How to Calculate Diameter of Section given Hydraulic Radius for Channel?

Diameter of Section given Hydraulic Radius for Channel calculator uses Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians)))) to calculate the Diameter of Section, Diameter of Section given Hydraulic Radius for Channel formula is defined as The diameter of a circular channel can be determined when the hydraulic radius, which is the cross-sectional area divided by the wetted perimeter, is known. Diameter of Section is denoted by d_section symbol.

How to calculate Diameter of Section given Hydraulic Radius for Channel using this online calculator? To use this online calculator for Diameter of Section given Hydraulic Radius for Channel, enter Hydraulic Radius of Circular Channel (R_h(cir)) & Subtended Angle in Radians (θ_Angle) and hit the calculate button. Here is how the Diameter of Section given Hydraulic Radius for Channel calculation can be explained with given input values -> 5.088771 = 1.25/(0.25*(1-(sin(0.0548033385126116)/((180/pi)*0.0548033385126116)))).

FAQ

What is Diameter of Section given Hydraulic Radius for Channel?

Diameter of Section given Hydraulic Radius for Channel formula is defined as The diameter of a circular channel can be determined when the hydraulic radius, which is the cross-sectional area divided by the wetted perimeter, is known and is represented as d_section = R_h(cir)/(0.25*(1-(sin(θ_Angle)/((180/pi)*θ_Angle)))) or Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians)))). Hydraulic Radius of Circular Channel is the ratio of the cross-sectional area of a channel or pipe in which a fluid is flowing to the wet perimeter of the conduit & Subtended Angle in Radians is the angle made by something from a given viewpoint.

How to calculate Diameter of Section given Hydraulic Radius for Channel?

Diameter of Section given Hydraulic Radius for Channel formula is defined as The diameter of a circular channel can be determined when the hydraulic radius, which is the cross-sectional area divided by the wetted perimeter, is known is calculated using Diameter of Section = Hydraulic Radius of Circular Channel/(0.25*(1-(sin(Subtended Angle in Radians)/((180/pi)*Subtended Angle in Radians)))). To calculate Diameter of Section given Hydraulic Radius for Channel, you need Hydraulic Radius of Circular Channel (R_h(cir)) & Subtended Angle in Radians (θ_Angle). With our tool, you need to enter the respective value for Hydraulic Radius 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 Radius 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 = Top Width of Circular Channel/sin(Subtended Angle in Radians/2)

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