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Angle between Wind and Current Direction Formula

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

θ = 45 + (π \cdot \frac{z}{D F})

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

Angle between Wind and Current Direction Example

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Here is how the Angle between Wind and Current Direction equation looks like with Values.

Here is how the Angle between Wind and Current Direction equation looks like with Units.

Here is how the Angle between Wind and Current Direction equation looks like.

49.1888 = 45 + (3.1416 \cdot \frac{160}{120})

49.1888 = 45 + (3.1416 \cdot \frac{160}{120m})

49.1888 = 45 + (3.1416 \cdot \frac{160}{120})

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Angle between Wind and Current Direction Solution

Follow our step by step solution on how to calculate Angle between Wind and Current Direction?

FIRST Step Consider the formula

θ = 45 + (π \cdot \frac{z}{D F})

Next Step Substitute values of Variables

∴

θ = 45 + (π \cdot \frac{160}{120m})

Next Step Substitute values of Constants

∴

θ = 45 + (3.1416 \cdot \frac{160}{120m})

Next Step Prepare to Evaluate

∴

θ = 45 + (3.1416 \cdot \frac{160}{120})

Next Step Evaluate

∴

θ = 49.1887902047864

LAST Step Rounding Answer

∴

θ = 49.1888

Angle between Wind and Current Direction Formula Elements

Variables

Constants

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

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 Angle between Wind and Current Direction?

Angle between Wind and Current Direction evaluator uses Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence) to evaluate the Angle between the Wind and Current Direction, The Angle between Wind and Current Direction is defined as the linearly increasing depth in a clockwise direction. magnitude and direction of resultant transport of ocean water is found by integrating 3.08 and 3.09 from z = -∞ to z = 0. Angle between the Wind and Current Direction is denoted by θ symbol.

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

FAQs on Angle between Wind and Current Direction

What is the formula to find Angle between Wind and Current Direction?

The formula of Angle between Wind and Current Direction is expressed as Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence). Here is an example- 49.18879 = 45+(pi*160/120).

How to calculate Angle between Wind and Current Direction?

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

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