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Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction Formula

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

z = D F \cdot \frac{θ - 45}{π}

z - Vertical Coordinate?D_F - Depth of Frictional Influence?θ - Angle between the Wind and Current Direction?π - Archimedes' constant?

Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction Example

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Here is how the Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction equation looks like with Values.

Here is how the Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction equation looks like with Units.

Here is how the Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction equation looks like.

160.0462 = 120 \cdot \frac{49.19 - 45}{3.1416}

160.0462 = 120m \cdot \frac{49.19 - 45}{3.1416}

160.0462 = 120 \cdot \frac{49.19 - 45}{3.1416}

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Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction Solution

Follow our step by step solution on how to calculate Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction?

FIRST Step Consider the formula

z = D F \cdot \frac{θ - 45}{π}

Next Step Substitute values of Variables

∴

z = 120m \cdot \frac{49.19 - 45}{π}

Next Step Substitute values of Constants

∴

z = 120m \cdot \frac{49.19 - 45}{3.1416}

Next Step Prepare to Evaluate

∴

z = 120 \cdot \frac{49.19 - 45}{3.1416}

Next Step Evaluate

∴

z = 160.04621077321

LAST Step Rounding Answer

∴

z = 160.0462

Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction Formula Elements

Variables

Constants

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

Angle between the Wind and Current Direction

Angle between the Wind and Current Direction depends on vertical coordinate and depth of frictional influence.

Symbol: θ

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle between the Wind and Current Direction

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 Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction?

Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction evaluator uses Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi to evaluate the Vertical Coordinate, The Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction is defined as parameter influencing Angle between Wind and Current. Vertical Coordinate is denoted by z symbol.

How to evaluate Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction using this online evaluator? To use this online evaluator for Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction, enter Depth of Frictional Influence (D_F) & Angle between the Wind and Current Direction (θ) and hit the calculate button.

FAQs on Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction

What is the formula to find Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction?

The formula of Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction is expressed as Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi. Here is an example- 160.0462 = 120*(49.19-45)/pi.

How to calculate Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction?

With Depth of Frictional Influence (D_F) & Angle between the Wind and Current Direction (θ) we can find Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction using the formula - Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi. This formula also uses Archimedes' constant .

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