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Hydraulic Radius given Angle Formula

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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. Check FAQs

R h(cir) = 0.25 \cdot d section \cdot (1 - \frac{\sin (θ Angle)}{\frac{180}{π}} \cdot θ Angle)

R_h(cir) - Hydraulic Radius of Circular Channel?d_section - Diameter of Section?θ_Angle - Subtended Angle in Radians?π - Archimedes' constant?

Hydraulic Radius given Angle Example

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Here is how the Hydraulic Radius given Angle equation looks like with Values.

Here is how the Hydraulic Radius given Angle equation looks like with Units.

Here is how the Hydraulic Radius given Angle equation looks like.

1.2499 = 0.25 \cdot 5 \cdot (1 - \frac{\sin (3.14)}{\frac{180}{3.1416}} \cdot 3.14)

1.2499m = 0.25 \cdot 5m \cdot (1 - \frac{\sin (3.14°)}{\frac{180}{3.1416}} \cdot 3.14°)

1.2499 = 0.25 \cdot 5 \cdot (1 - \frac{\sin (3.14)}{\frac{180}{3.1416}} \cdot 3.14)

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Hydraulic Radius given Angle Solution

Follow our step by step solution on how to calculate Hydraulic Radius given Angle?

FIRST Step Consider the formula

R h(cir) = 0.25 \cdot d section \cdot (1 - \frac{\sin (θ Angle)}{\frac{180}{π}} \cdot θ Angle)

Next Step Substitute values of Variables

∴

R h(cir) = 0.25 \cdot 5m \cdot (1 - \frac{\sin (3.14°)}{\frac{180}{π}} \cdot 3.14°)

Next Step Substitute values of Constants

∴

R h(cir) = 0.25 \cdot 5m \cdot (1 - \frac{\sin (3.14°)}{\frac{180}{3.1416}} \cdot 3.14°)

Next Step Convert Units

∴

R h(cir) = 0.25 \cdot 5m \cdot (1 - \frac{\sin (0.0548rad)}{\frac{180}{3.1416}} \cdot 0.0548rad)

Next Step Prepare to Evaluate

∴

R h(cir) = 0.25 \cdot 5 \cdot (1 - \frac{\sin (0.0548)}{\frac{180}{3.1416}} \cdot 0.0548)

Next Step Evaluate

∴

R h(cir) = 1.24993450864192m

LAST Step Rounding Answer

∴

R h(cir) = 1.2499m

Hydraulic Radius given Angle Formula Elements

Variables

Constants

Functions

Hydraulic Radius of Circular Channel

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.

Symbol: R_h(cir)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hydraulic Radius of Circular Channel

Diameter 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.

Symbol: d_section

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Diameter of Section

Subtended Angle in Radians

Subtended Angle in Radians is the angle made by something from a given viewpoint.

Symbol: θ_Angle

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Subtended Angle in Radians

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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.

Syntax: sin(Angle)

Other formulas in Geometrical Properties of Circular Channel Section category

Go Wetted Area for Circle

A w(cir) = (\frac{1}{8}) \cdot ((\frac{180}{π}) \cdot θ Angle - \sin (θ Angle) \cdot ({d section}^{2}))

Go Diameter of Section given Wetted Area

d section = \sqrt{\frac{(\frac{180}{π}) \cdot (θ Angle) - (8 \cdot A w(cir))}{\sin (θ Angle)}}

Go Diameter of Section given Wetted Perimeter

d section = \frac{p}{0.5 \cdot θ Angle \cdot (\frac{180}{π})}

Go Angle of Sector given Wetted Perimeter

θ Angle = \frac{p}{0.5 \cdot d section} \cdot (\frac{π}{180})

How to Evaluate Hydraulic Radius given Angle?

Hydraulic Radius given Angle evaluator uses Hydraulic Radius of Circular Channel = 0.25*Diameter of Section*(1-sin(Subtended Angle in Radians)/(180/pi)*Subtended Angle in Radians) to evaluate the Hydraulic Radius of Circular Channel, Hydraulic Radius given Angle formula is defined as ratio of wetted area to that of wetted perimeter of channel section. Hydraulic Radius of Circular Channel is denoted by R_h(cir) symbol.

How to evaluate Hydraulic Radius given Angle using this online evaluator? To use this online evaluator for Hydraulic Radius given Angle, enter Diameter of Section (d_section) & Subtended Angle in Radians (θ_Angle) and hit the calculate button.

FAQs on Hydraulic Radius given Angle

What is the formula to find Hydraulic Radius given Angle?

The formula of Hydraulic Radius given Angle is expressed as Hydraulic Radius of Circular Channel = 0.25*Diameter of Section*(1-sin(Subtended Angle in Radians)/(180/pi)*Subtended Angle in Radians). Here is an example- 1.249935 = 0.25*5*(1-sin(0.0548033385126116)/(180/pi)*0.0548033385126116).

How to calculate Hydraulic Radius given Angle?

With Diameter of Section (d_section) & Subtended Angle in Radians (θ_Angle) we can find Hydraulic Radius given Angle using the formula - Hydraulic Radius of Circular Channel = 0.25*Diameter of Section*(1-sin(Subtended Angle in Radians)/(180/pi)*Subtended Angle in Radians). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Hydraulic Radius given Angle be negative?

No, the Hydraulic Radius given Angle, measured in Length cannot be negative.

Which unit is used to measure Hydraulic Radius given Angle?

Hydraulic Radius given Angle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hydraulic Radius given Angle can be measured.

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Hydraulic Radius given Angle Formula

Hydraulic Radius given Angle Example

Hydraulic Radius given Angle Solution

Hydraulic Radius given Angle Formula Elements

Other formulas in Geometrical Properties of Circular Channel Section category

How to Evaluate Hydraulic Radius given Angle?

FAQs on Hydraulic Radius given Angle

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