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Radial Coordinate given Radial Velocity 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 = {(\frac{μ}{2 \cdot π \cdot (V ∞ + \frac{V r}{\cos (θ)})})}^{\frac{1}{3}}

r - Radial Coordinate?μ - Doublet Strength?V_∞ - Freestream Velocity?V_r - Radial Velocity?θ - Polar Angle?π - Archimedes' constant?

Radial Coordinate given Radial Velocity Example

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Here is how the Radial Coordinate given Radial Velocity equation looks like with Values.

Here is how the Radial Coordinate given Radial Velocity equation looks like with Units.

Here is how the Radial Coordinate given Radial Velocity equation looks like.

2.758 = {(\frac{9463}{2 \cdot 3.1416 \cdot (68 + \frac{2.9}{\cos (0.7)})})}^{\frac{1}{3}}

2.758m = {(\frac{9463m³/s}{2 \cdot 3.1416 \cdot (68m/s + \frac{2.9m/s}{\cos (0.7rad)})})}^{\frac{1}{3}}

2.758 = {(\frac{9463}{2 \cdot 3.1416 \cdot (68 + \frac{2.9}{\cos (0.7)})})}^{\frac{1}{3}}

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Radial Coordinate given Radial Velocity Solution

Follow our step by step solution on how to calculate Radial Coordinate given Radial Velocity?

FIRST Step Consider the formula

r = {(\frac{μ}{2 \cdot π \cdot (V ∞ + \frac{V r}{\cos (θ)})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r = {(\frac{9463m³/s}{2 \cdot π \cdot (68m/s + \frac{2.9m/s}{\cos (0.7rad)})})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

r = {(\frac{9463m³/s}{2 \cdot 3.1416 \cdot (68m/s + \frac{2.9m/s}{\cos (0.7rad)})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r = {(\frac{9463}{2 \cdot 3.1416 \cdot (68 + \frac{2.9}{\cos (0.7)})})}^{\frac{1}{3}}

Next Step Evaluate

∴

r = 2.75798382964409m

LAST Step Rounding Answer

∴

r = 2.758m

Radial Coordinate 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

Doublet Strength

Doublet Strength is defined as the product of the distance between a source-sink pair and source or sink strength.

Symbol: μ

Measurement: Volumetric Flow RateUnit: m³/s

Note: Value should be greater than 0.

Formulas to find Doublet Strength

Freestream Velocity

The Freestream Velocity is the velocity of air far upstream of an aerodynamic body, that is before the body has a chance to deflect, slow down or compress the air.

Symbol: V_∞

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Freestream Velocity

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

Polar Angle

Polar Angle is the angular position of a point from a reference direction.

Symbol: θ

Measurement: AngleUnit: rad

Note: Value can be positive or negative.

Formulas to find Polar Angle

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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other formulas in Radial Velocity category

Go Radial Velocity for Flow over Sphere

V r = - (V ∞ - \frac{μ}{2 \cdot π \cdot r^{3}}) \cdot \cos (θ)

Go Freestream Velocity given Radial Velocity

V ∞ = \frac{μ}{2 \cdot π \cdot r^{3}} - \frac{V r}{\cos (θ)}

Go Polar Coordinate given Radial Velocity

θ = a \cos (\frac{V r}{\frac{μ}{2 \cdot π \cdot r^{3}} - V ∞})

Go Doublet Strength given Radial Velocity

μ = 2 \cdot π \cdot r^{3} \cdot (V ∞ + \frac{V r}{\cos (θ)})

How to Evaluate Radial Coordinate given Radial Velocity?

Radial Coordinate given Radial Velocity evaluator uses Radial Coordinate = (Doublet Strength/(2*pi*(Freestream Velocity+Radial Velocity/cos(Polar Angle))))^(1/3) to evaluate the Radial Coordinate, The Radial Coordinate given Radial Velocity formula calculates the radial position in the three-dimensional doublet flow over a sphere when there is radial velocity given. Radial Coordinate is denoted by r symbol.

How to evaluate Radial Coordinate given Radial Velocity using this online evaluator? To use this online evaluator for Radial Coordinate given Radial Velocity, enter Doublet Strength (μ), Freestream Velocity (V_∞), Radial Velocity (V_r) & Polar Angle (θ) and hit the calculate button.

FAQs on Radial Coordinate given Radial Velocity

What is the formula to find Radial Coordinate given Radial Velocity?

The formula of Radial Coordinate given Radial Velocity is expressed as Radial Coordinate = (Doublet Strength/(2*pi*(Freestream Velocity+Radial Velocity/cos(Polar Angle))))^(1/3). Here is an example- 2.757984 = (9463/(2*pi*(68+2.9/cos(0.7))))^(1/3).

How to calculate Radial Coordinate given Radial Velocity?

With Doublet Strength (μ), Freestream Velocity (V_∞), Radial Velocity (V_r) & Polar Angle (θ) we can find Radial Coordinate given Radial Velocity using the formula - Radial Coordinate = (Doublet Strength/(2*pi*(Freestream Velocity+Radial Velocity/cos(Polar Angle))))^(1/3). This formula also uses Archimedes' constant and Cosine (cos) function(s).

Can the Radial Coordinate given Radial Velocity be negative?

No, the Radial Coordinate given Radial Velocity, measured in Length cannot be negative.

Which unit is used to measure Radial Coordinate given Radial Velocity?

Radial Coordinate 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 given Radial Velocity can be measured.

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Radial Coordinate given Radial Velocity Formula

Radial Coordinate given Radial Velocity Example

Radial Coordinate given Radial Velocity Solution

Radial Coordinate given Radial Velocity Formula Elements

Other formulas in Radial Velocity category

How to Evaluate Radial Coordinate given Radial Velocity?

FAQs on Radial Coordinate given Radial Velocity

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