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Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates Formula

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Velocity in the Current Profile defines the speed and direction of fluid flow at different points within a given area. Check FAQs

V Current = V s \cdot e^{π \cdot \frac{z}{D F}}

V_Current - Velocity in the Current Profile?V_s - Velocity at the Surface?z - Vertical Coordinate?D_F - Depth of Frictional Influence?π - Archimedes' constant?

Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates Example

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Here is how the Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates equation looks like with Values.

Here is how the Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates equation looks like with Units.

Here is how the Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates equation looks like.

32.9715 = 0.5 \cdot e^{3.1416 \cdot \frac{160}{120}}

32.9715m/s = 0.5m/s \cdot e^{3.1416 \cdot \frac{160}{120m}}

32.9715 = 0.5 \cdot e^{3.1416 \cdot \frac{160}{120}}

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Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates Solution

Follow our step by step solution on how to calculate Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

FIRST Step Consider the formula

V Current = V s \cdot e^{π \cdot \frac{z}{D F}}

Next Step Substitute values of Variables

∴

V Current = 0.5m/s \cdot e^{π \cdot \frac{160}{120m}}

Next Step Substitute values of Constants

∴

V Current = 0.5m/s \cdot e^{3.1416 \cdot \frac{160}{120m}}

Next Step Prepare to Evaluate

∴

V Current = 0.5 \cdot e^{3.1416 \cdot \frac{160}{120}}

Next Step Evaluate

∴

V Current = 32.9714826000322m/s

LAST Step Rounding Answer

∴

V Current = 32.9715m/s

Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates Formula Elements

Variables

Constants

Velocity in the Current Profile

Velocity in the Current Profile defines the speed and direction of fluid flow at different points within a given area.

Symbol: V_Current

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity in the Current Profile

Velocity at the Surface

Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity at the Surface

Vertical Coordinate

Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Coordinate

Depth of Frictional Influence

Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.

Symbol: D_F

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Frictional Influence

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

Other formulas in Eckman Wind Drift category

Go Velocity Component along Horizontal x Axis

u x = V s \cdot e^{π \cdot \frac{z}{D F}} \cdot \cos (45 + (π \cdot \frac{z}{D F}))

Go Velocity at Surface given Velocity Component along Horizontal x Axis

V s = \frac{u x}{e^{π \cdot \frac{z}{D F}} \cdot \cos (45 + (π \cdot \frac{z}{D F}))}

Go Depth of Frictional Influence by Eckman

D Eddy = π \cdot \sqrt{\frac{ε v}{ρ water \cdot Ω E \cdot \sin (L)}}

Go Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman

ε v = \frac{{D Eddy}^{2} \cdot ρ water \cdot Ω E \cdot \sin (L)}{π^{2}}

How to Evaluate Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates evaluator uses Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence) to evaluate the Velocity in the Current Profile, The Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates is defined as the exponentially decrease with depth and the angle between the wind and current direction increases linearly with depth in a clockwise direction. Velocity in the Current Profile is denoted by V_Current symbol.

How to evaluate Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates using this online evaluator? To use this online evaluator for Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates, enter Velocity at the Surface (V_s), Vertical Coordinate (z) & Depth of Frictional Influence (D_F) and hit the calculate button.

FAQs on Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates

What is the formula to find Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

The formula of Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates is expressed as Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence). Here is an example- 32.97148 = 0.5*e^(pi*160/120).

How to calculate Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

With Velocity at the Surface (V_s), Vertical Coordinate (z) & Depth of Frictional Influence (D_F) we can find Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates using the formula - Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence). This formula also uses Archimedes' constant .

Can the Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates be negative?

Yes, the Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates, measured in Speed can be negative.

Which unit is used to measure Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates?

Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates can be measured.

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