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Radial Coordinate given Tangential 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}{4 \cdot π \cdot (\frac{V θ}{\sin (θ)} - V ∞)})}^{\frac{1}{3}}

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

Radial Coordinate given Tangential Velocity Example

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

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

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

2.796 = {(\frac{9463}{4 \cdot 3.1416 \cdot (\frac{66}{\sin (0.7)} - 68)})}^{\frac{1}{3}}

2.796m = {(\frac{9463m³/s}{4 \cdot 3.1416 \cdot (\frac{66m/s}{\sin (0.7rad)} - 68m/s)})}^{\frac{1}{3}}

2.796 = {(\frac{9463}{4 \cdot 3.1416 \cdot (\frac{66}{\sin (0.7)} - 68)})}^{\frac{1}{3}}

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Radial Coordinate given Tangential Velocity Solution

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

FIRST Step Consider the formula

r = {(\frac{μ}{4 \cdot π \cdot (\frac{V θ}{\sin (θ)} - V ∞)})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

r = {(\frac{9463m³/s}{4 \cdot π \cdot (\frac{66m/s}{\sin (0.7rad)} - 68m/s)})}^{\frac{1}{3}}

Next Step Substitute values of Constants

∴

r = {(\frac{9463m³/s}{4 \cdot 3.1416 \cdot (\frac{66m/s}{\sin (0.7rad)} - 68m/s)})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

r = {(\frac{9463}{4 \cdot 3.1416 \cdot (\frac{66}{\sin (0.7)} - 68)})}^{\frac{1}{3}}

Next Step Evaluate

∴

r = 2.79604344789222m

LAST Step Rounding Answer

∴

r = 2.796m

Radial Coordinate given Tangential 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

Tangential Velocity

Tangential Velocity is the component of velocity in the tangential direction.

Symbol: V_θ

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Tangential 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

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

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 Tangential Velocity category

Go Tangential Velocity for Flow over Sphere

V θ = (V ∞ + \frac{μ}{4 \cdot π \cdot r^{3}}) \cdot \sin (θ)

Go Freestream Velocity given Tangential Velocity

V ∞ = \frac{V θ}{\sin (θ)} - \frac{μ}{4 \cdot π \cdot r^{3}}

Go Polar Coordinate given Tangential Velocity

θ = a \sin (\frac{V θ}{V ∞ + \frac{μ}{4 \cdot π \cdot r^{3}}})

Go Doublet Strength given Tangential Velocity

μ = 4 \cdot π \cdot r^{3} \cdot (\frac{V θ}{\sin (θ)} - V ∞)

How to Evaluate Radial Coordinate given Tangential Velocity?

Radial Coordinate given Tangential Velocity evaluator uses Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3) to evaluate the Radial Coordinate, The Radial Coordinate given Tangential Velocity formula calculates the radial position in the three-dimensional doublet flow over a sphere when there is tangential velocity given. Radial Coordinate is denoted by r symbol.

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

FAQs on Radial Coordinate given Tangential Velocity

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

The formula of Radial Coordinate given Tangential Velocity is expressed as Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3). Here is an example- 3.245317 = (9463/(4*pi*(66/sin(0.7)-68)))^(1/3).

How to calculate Radial Coordinate given Tangential Velocity?

With Doublet Strength (μ), Tangential Velocity (V_θ), Polar Angle (θ) & Freestream Velocity (V_∞) we can find Radial Coordinate given Tangential Velocity using the formula - Radial Coordinate = (Doublet Strength/(4*pi*(Tangential Velocity/sin(Polar Angle)-Freestream Velocity)))^(1/3). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Radial Coordinate given Tangential Velocity be negative?

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

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

Radial Coordinate given Tangential 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 Tangential Velocity can be measured.

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Radial Coordinate given Tangential Velocity Formula

Radial Coordinate given Tangential Velocity Example

Radial Coordinate given Tangential Velocity Solution

Radial Coordinate given Tangential Velocity Formula Elements

Other formulas in Tangential Velocity category

How to Evaluate Radial Coordinate given Tangential Velocity?

FAQs on Radial Coordinate given Tangential Velocity

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