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Polar Coordinate given Surface Velocity for Flow over Sphere Formula

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

θ = a \sin (\frac{2}{3} \cdot \frac{V θ}{V ∞})

θ - Polar Angle?V_θ - Tangential Velocity?V_∞ - Freestream Velocity?

Polar Coordinate given Surface Velocity for Flow over Sphere Example

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Here is how the Polar Coordinate given Surface Velocity for Flow over Sphere equation looks like with Values.

Here is how the Polar Coordinate given Surface Velocity for Flow over Sphere equation looks like with Units.

Here is how the Polar Coordinate given Surface Velocity for Flow over Sphere equation looks like.

0.7037 = a \sin (\frac{2}{3} \cdot \frac{66}{68})

0.7037rad = a \sin (\frac{2}{3} \cdot \frac{66m/s}{68m/s})

0.7037 = a \sin (\frac{2}{3} \cdot \frac{66}{68})

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Polar Coordinate given Surface Velocity for Flow over Sphere Solution

Follow our step by step solution on how to calculate Polar Coordinate given Surface Velocity for Flow over Sphere?

FIRST Step Consider the formula

θ = a \sin (\frac{2}{3} \cdot \frac{V θ}{V ∞})

Next Step Substitute values of Variables

∴

θ = a \sin (\frac{2}{3} \cdot \frac{66m/s}{68m/s})

Next Step Prepare to Evaluate

∴

θ = a \sin (\frac{2}{3} \cdot \frac{66}{68})

Next Step Evaluate

∴

θ = 0.703720508083224rad

LAST Step Rounding Answer

∴

θ = 0.7037rad

Polar Coordinate given Surface Velocity for Flow over Sphere Formula Elements

Variables

Functions

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

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

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

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)

asin

The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio.

Syntax: asin(Number)

Other formulas in Surface Velocity category

Go Surface Velocity for Incompressible Flow over Sphere

V θ = \frac{3}{2} \cdot V ∞ \cdot \sin (θ)

Go Freestream Velocity given Surface Velocity for Flow over Sphere

V ∞ = \frac{2}{3} \cdot \frac{V θ}{\sin (θ)}

Go Maximum Surface Velocity for Flow over Sphere

V s,max = \frac{3}{2} \cdot V ∞

Go Freestream Velocity given Maximum Surface Velocity

V ∞ = \frac{2}{3} \cdot V s,max

How to Evaluate Polar Coordinate given Surface Velocity for Flow over Sphere?

Polar Coordinate given Surface Velocity for Flow over Sphere evaluator uses Polar Angle = asin(2/3*Tangential Velocity/Freestream Velocity) to evaluate the Polar Angle, The Polar Coordinate given Surface Velocity for Flow over Sphere formula calculates the polar coordinate or the angle at which the surface velocity of the flow over the sphere is given. Polar Angle is denoted by θ symbol.

How to evaluate Polar Coordinate given Surface Velocity for Flow over Sphere using this online evaluator? To use this online evaluator for Polar Coordinate given Surface Velocity for Flow over Sphere, enter Tangential Velocity (V_θ) & Freestream Velocity (V_∞) and hit the calculate button.

FAQs on Polar Coordinate given Surface Velocity for Flow over Sphere

What is the formula to find Polar Coordinate given Surface Velocity for Flow over Sphere?

The formula of Polar Coordinate given Surface Velocity for Flow over Sphere is expressed as Polar Angle = asin(2/3*Tangential Velocity/Freestream Velocity). Here is an example- 0.604836 = asin(2/3*66/68).

How to calculate Polar Coordinate given Surface Velocity for Flow over Sphere?

With Tangential Velocity (V_θ) & Freestream Velocity (V_∞) we can find Polar Coordinate given Surface Velocity for Flow over Sphere using the formula - Polar Angle = asin(2/3*Tangential Velocity/Freestream Velocity). This formula also uses Sine (sin), Inverse Sine (asin) function(s).

Can the Polar Coordinate given Surface Velocity for Flow over Sphere be negative?

Yes, the Polar Coordinate given Surface Velocity for Flow over Sphere, measured in Angle can be negative.

Which unit is used to measure Polar Coordinate given Surface Velocity for Flow over Sphere?

Polar Coordinate given Surface Velocity for Flow over Sphere is usually measured using the Radian[rad] for Angle. Degree[rad], Minute[rad], Second[rad] are the few other units in which Polar Coordinate given Surface Velocity for Flow over Sphere can be measured.

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Polar Coordinate given Surface Velocity for Flow over Sphere Formula

Polar Coordinate given Surface Velocity for Flow over Sphere Example

Polar Coordinate given Surface Velocity for Flow over Sphere Solution

Polar Coordinate given Surface Velocity for Flow over Sphere Formula Elements

Other formulas in Surface Velocity category

How to Evaluate Polar Coordinate given Surface Velocity for Flow over Sphere?

FAQs on Polar Coordinate given Surface Velocity for Flow over Sphere

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