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Radius of Rankine circle Formula

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Radius is a radial line from the focus to any point of a curve. Check FAQs

r = \sqrt{\frac{µ}{2 \cdot π \cdot U}}

r - Radius?µ - Strength of Doublet?U - Uniform Flow Velocity?π - Archimedes' constant?

Radius of Rankine circle Example

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Here is how the Radius of Rankine circle equation looks like with Values.

Here is how the Radius of Rankine circle equation looks like with Units.

Here is how the Radius of Rankine circle equation looks like.

0.3518 = \sqrt{\frac{7}{2 \cdot 3.1416 \cdot 9}}

0.3518m = \sqrt{\frac{7m²/s}{2 \cdot 3.1416 \cdot 9m/s}}

0.3518 = \sqrt{\frac{7}{2 \cdot 3.1416 \cdot 9}}

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Radius of Rankine circle Solution

Follow our step by step solution on how to calculate Radius of Rankine circle?

FIRST Step Consider the formula

r = \sqrt{\frac{µ}{2 \cdot π \cdot U}}

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{7m²/s}{2 \cdot π \cdot 9m/s}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{7m²/s}{2 \cdot 3.1416 \cdot 9m/s}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{7}{2 \cdot 3.1416 \cdot 9}}

Next Step Evaluate

∴

r = 0.351834020470396m

LAST Step Rounding Answer

∴

r = 0.3518m

Radius of Rankine circle Formula Elements

Variables

Constants

Functions

Radius

Radius is a radial line from the focus to any point of a curve.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius

Strength of Doublet

The Strength of doublet is considered in the potential flow.

Symbol: µ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Strength of Doublet

Uniform Flow Velocity

The Uniform flow velocity is considered in flow past a half body.

Symbol: U

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Uniform Flow Velocity

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other formulas in Incompressible Flow Characteristics category

Go Radial velocity at any radius

V r = \frac{q}{2 \cdot π \cdot r 1}

Go Strength of source for radial velocity and at any radius

q = V r \cdot 2 \cdot π \cdot r 1

Go Radius at any point considering radial velocity

r 1 = \frac{q}{2 \cdot π \cdot V r}

Go Stream function at point

ψ = - (\frac{µ}{2 \cdot π}) \cdot (\frac{y}{(x^{2}) + (y^{2})})

How to Evaluate Radius of Rankine circle?

Radius of Rankine circle evaluator uses Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity)) to evaluate the Radius, The Radius of Rankine circle formula is obtained from the relation shape of Rankine oval of equal axes considering the strength of doublet and uniform flow velocity from a doublet in a uniform flow. Radius is denoted by r symbol.

How to evaluate Radius of Rankine circle using this online evaluator? To use this online evaluator for Radius of Rankine circle, enter Strength of Doublet (µ) & Uniform Flow Velocity (U) and hit the calculate button.

FAQs on Radius of Rankine circle

What is the formula to find Radius of Rankine circle?

The formula of Radius of Rankine circle is expressed as Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity)). Here is an example- 0.420522 = sqrt(7/(2*pi*9)).

How to calculate Radius of Rankine circle?

With Strength of Doublet (µ) & Uniform Flow Velocity (U) we can find Radius of Rankine circle using the formula - Radius = sqrt(Strength of Doublet/(2*pi*Uniform Flow Velocity)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

Can the Radius of Rankine circle be negative?

No, the Radius of Rankine circle, measured in Length cannot be negative.

Which unit is used to measure Radius of Rankine circle?

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

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