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Radial Coordinate for 3D Source Flow given Radial Velocity Formula

GoRadial Coordinate for 3D Source Flow given Velocity Potential Formula

GoRadial Coordinate for 3D Doublet Flow given Velocity Potential Formula

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Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin. Check FAQs

r = \sqrt{\frac{Λ}{4 \cdot π \cdot V r}}

r - Radial Coordinate?Λ - Source Strength?V_r - Radial Velocity?π - Archimedes' constant?

Radial Coordinate for 3D Source Flow given Radial Velocity Example

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Here is how the Radial Coordinate for 3D Source Flow given Radial Velocity equation looks like with Values.

Here is how the Radial Coordinate for 3D Source Flow given Radial Velocity equation looks like with Units.

Here is how the Radial Coordinate for 3D Source Flow given Radial Velocity equation looks like.

2.757 = \sqrt{\frac{277}{4 \cdot 3.1416 \cdot 2.9}}

2.757m = \sqrt{\frac{277m²/s}{4 \cdot 3.1416 \cdot 2.9m/s}}

2.757 = \sqrt{\frac{277}{4 \cdot 3.1416 \cdot 2.9}}

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Radial Coordinate for 3D Source Flow given Radial Velocity Solution

Follow our step by step solution on how to calculate Radial Coordinate for 3D Source Flow given Radial Velocity?

FIRST Step Consider the formula

r = \sqrt{\frac{Λ}{4 \cdot π \cdot V r}}

Next Step Substitute values of Variables

∴

r = \sqrt{\frac{277m²/s}{4 \cdot π \cdot 2.9m/s}}

Next Step Substitute values of Constants

∴

r = \sqrt{\frac{277m²/s}{4 \cdot 3.1416 \cdot 2.9m/s}}

Next Step Prepare to Evaluate

∴

r = \sqrt{\frac{277}{4 \cdot 3.1416 \cdot 2.9}}

Next Step Evaluate

∴

r = 2.75699484185399m

LAST Step Rounding Answer

∴

r = 2.757m

Radial Coordinate for 3D Source Flow given Radial Velocity Formula Elements

Variables

Constants

Functions

Radial Coordinate

Radial Coordinate for an object refers to the coordinate of the object that moves in radial direction from a point of origin.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radial Coordinate

Source Strength

Source Strength is physically the rate of volume flow from the source, per unit depth perpendicular to the page.

Symbol: Λ

Measurement: Velocity PotentialUnit: m²/s

Note: Value can be positive or negative.

Formulas to find Source Strength

Radial Velocity

The Radial Velocity of an object with respect to a given point is the rate of change of the distance between the object and the point.

Symbol: V_r

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Radial 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 to find Radial Coordinate

Go Radial Coordinate for 3D Source Flow given Velocity Potential

r = - \frac{Λ}{4 \cdot π \cdot ϕ s}

Go Radial Coordinate for 3D Doublet Flow given Velocity Potential

r = \sqrt{\frac{mod \underset{̲}{u} s (μ) \cdot \cos (θ)}{4 \cdot π \cdot mod \underset{̲}{u} s (ϕ s)}}

Other formulas in 3D Elementry Flows category

Go Radial Velocity for 3D Incompressible Source Flow

V r = \frac{Λ}{4 \cdot π \cdot r^{2}}

Go Source Strength for 3D Incompressible Source Flow given Radial Velocity

Λ = 4 \cdot π \cdot V r \cdot r^{2}

Go Velocity Potential for 3D Incompressible Source Flow

ϕ s = - \frac{Λ}{4 \cdot π \cdot r}

Go Source Strength for 3D Incompressible Source Flow given Velocity Potential

Λ = - 4 \cdot π \cdot ϕ s \cdot r

How to Evaluate Radial Coordinate for 3D Source Flow given Radial Velocity?

Radial Coordinate for 3D Source Flow given Radial Velocity evaluator uses Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity)) to evaluate the Radial Coordinate, The Radial Coordinate for 3D Source Flow given Radial Velocity formula calculates the radial distance from the origin at which the radial velocity is given for a 3D incompressible source flow. Radial Coordinate is denoted by r symbol.

How to evaluate Radial Coordinate for 3D Source Flow given Radial Velocity using this online evaluator? To use this online evaluator for Radial Coordinate for 3D Source Flow given Radial Velocity, enter Source Strength (Λ) & Radial Velocity (V_r) and hit the calculate button.

FAQs on Radial Coordinate for 3D Source Flow given Radial Velocity

What is the formula to find Radial Coordinate for 3D Source Flow given Radial Velocity?

The formula of Radial Coordinate for 3D Source Flow given Radial Velocity is expressed as Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity)). Here is an example- 2.756995 = sqrt(277/(4*pi*2.9)).

How to calculate Radial Coordinate for 3D Source Flow given Radial Velocity?

With Source Strength (Λ) & Radial Velocity (V_r) we can find Radial Coordinate for 3D Source Flow given Radial Velocity using the formula - Radial Coordinate = sqrt(Source Strength/(4*pi*Radial Velocity)). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

What are the other ways to Calculate Radial Coordinate?

Here are the different ways to Calculate Radial Coordinate-

Radial Coordinate=-Source Strength/(4*pi*Source Velocity Potential)
Radial Coordinate=sqrt((modulus(Doublet Strength)*cos(Polar Angle))/(4*pi*modulus(Source Velocity Potential)))

Can the Radial Coordinate for 3D Source Flow given Radial Velocity be negative?

No, the Radial Coordinate for 3D Source Flow given Radial Velocity, measured in Length cannot be negative.

Which unit is used to measure Radial Coordinate for 3D Source Flow given Radial Velocity?

Radial Coordinate for 3D Source Flow given Radial Velocity is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radial Coordinate for 3D Source Flow given Radial Velocity can be measured.

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