Hydraulic Depth of Circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Dcir = (dsection*0.125)*((180/pi)*θAngle-sin(θAngle)/sin(θAngle/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
Hydraulic Depth of Circular Channel - (Measured in Meter) - Hydraulic Depth of Circular Channel is defined as depth which in contact with water.
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.
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
Dcir = (dsection*0.125)*((180/pi)*θAngle-sin(θAngle)/sin(θAngle/2)) --> (5*0.125)*((180/pi)*0.0548033385126116-sin(0.0548033385126116)/sin(0.0548033385126116/2))
Evaluating ... ...
Dcir = 0.7129692528107
STEP 3: Convert Result to Output's Unit
0.7129692528107 Meter --> No Conversion Required
FINAL ANSWER
0.7129692528107 0.712969 Meter <-- Hydraulic Depth of Circular Channel
(Calculation completed in 00.004 seconds)

Credits

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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Verified by Ishita Goyal
Meerut Institute of Engineering and Technology (MIET), Meerut
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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)

Hydraulic Depth of Circle Formula

​LaTeX ​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))
Dcir = (dsection*0.125)*((180/pi)*θAngle-sin(θAngle)/sin(θAngle/2))

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 Hydraulic Depth of Circle?

Hydraulic Depth of Circle calculator uses 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)) to calculate the Hydraulic Depth of Circular Channel, The Hydraulic Depth of Circle formula is defined as ratio of wetted area to that of top width of section at any point in channel. Hydraulic Depth of Circular Channel is denoted by Dcir symbol.

How to calculate Hydraulic Depth of Circle using this online calculator? To use this online calculator for Hydraulic Depth of Circle, enter Diameter of Section (dsection) & Subtended Angle in Radians Angle) and hit the calculate button. Here is how the Hydraulic Depth of Circle calculation can be explained with given input values -> 0.712969 = (5*0.125)*((180/pi)*0.0548033385126116-sin(0.0548033385126116)/sin(0.0548033385126116/2)).

FAQ

What is Hydraulic Depth of Circle?
The Hydraulic Depth of Circle formula is defined as ratio of wetted area to that of top width of section at any point in channel and is represented as Dcir = (dsection*0.125)*((180/pi)*θAngle-sin(θAngle)/sin(θAngle/2)) or 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)). 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 & Subtended Angle in Radians is the angle made by something from a given viewpoint.
How to calculate Hydraulic Depth of Circle?
The Hydraulic Depth of Circle formula is defined as ratio of wetted area to that of top width of section at any point in channel is calculated using 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)). To calculate Hydraulic Depth of Circle, you need Diameter of Section (dsection) & Subtended Angle in Radians Angle). 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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