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Latitude given Depth of Frictional Influence by Eckman Formula

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The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator. Check FAQs

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

L - Latitude of a Position on Earth Surface?ε_v - Vertical Eddy Viscosity Coefficient?ρ_water - Water Density?Ω_E - Angular Speed of the Earth?D_Eddy - Depth of Frictional Influence by Eckman?π - Archimedes' constant?

Latitude given Depth of Frictional Influence by Eckman Example

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Here is how the Latitude given Depth of Frictional Influence by Eckman equation looks like with Values.

Here is how the Latitude given Depth of Frictional Influence by Eckman equation looks like with Units.

Here is how the Latitude given Depth of Frictional Influence by Eckman equation looks like.

21.1274 = a \sin (\frac{0.6}{1000 \cdot 7.3E-5 \cdot {(\frac{15.01}{3.1416})}^{2}})

21.1274° = a \sin (\frac{0.6}{1000kg/m³ \cdot 7.3E-5rad/s \cdot {(\frac{15.01m}{3.1416})}^{2}})

21.1274 = a \sin (\frac{0.6}{1000 \cdot 7.3E-5 \cdot {(\frac{15.01}{3.1416})}^{2}})

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Latitude given Depth of Frictional Influence by Eckman Solution

Follow our step by step solution on how to calculate Latitude given Depth of Frictional Influence by Eckman?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = a \sin (\frac{0.6}{1000kg/m³ \cdot 7.3E-5rad/s \cdot {(\frac{15.01m}{π})}^{2}})

Next Step Substitute values of Constants

∴

L = a \sin (\frac{0.6}{1000kg/m³ \cdot 7.3E-5rad/s \cdot {(\frac{15.01m}{3.1416})}^{2}})

Next Step Prepare to Evaluate

∴

L = a \sin (\frac{0.6}{1000 \cdot 7.3E-5 \cdot {(\frac{15.01}{3.1416})}^{2}})

Next Step Evaluate

∴

L = 0.368742286901095rad

Next Step Convert to Output's Unit

∴

L = 21.1273767674389°

LAST Step Rounding Answer

∴

L = 21.1274°

Latitude given Depth of Frictional Influence by Eckman Formula Elements

Variables

Constants

Functions

Latitude of a Position on Earth Surface

The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.

Symbol: L

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Latitude of a Position on Earth Surface

Vertical Eddy Viscosity Coefficient

Vertical Eddy Viscosity Coefficient is a coefficient relating the average shear stress within a turbulent flow of water or air to the vertical gradient of velocity.

Symbol: ε_v

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Vertical Eddy Viscosity Coefficient

Water Density

Water Density is mass per unit of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Angular Speed of the Earth

Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

Symbol: Ω_E

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of the Earth

Depth of Frictional Influence by Eckman

Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction.

Symbol: D_Eddy

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Depth of Frictional Influence by Eckman

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)

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 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 Latitude given Depth of Frictional Influence by Eckman?

Latitude given Depth of Frictional Influence by Eckman evaluator uses Latitude of a Position on Earth Surface = asin(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*(Depth of Frictional Influence by Eckman/pi)^2)) to evaluate the Latitude of a Position on Earth Surface, The Latitude given Depth of Frictional Influence by Eckman is defined as angular distance of place north or south of earth's equator, or of equator of celestial object, usually expressed in degrees and minutes. Latitude of a Position on Earth Surface is denoted by L symbol.

How to evaluate Latitude given Depth of Frictional Influence by Eckman using this online evaluator? To use this online evaluator for Latitude given Depth of Frictional Influence by Eckman, enter Vertical Eddy Viscosity Coefficient (ε_v), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Depth of Frictional Influence by Eckman (D_Eddy) and hit the calculate button.

FAQs on Latitude given Depth of Frictional Influence by Eckman

What is the formula to find Latitude given Depth of Frictional Influence by Eckman?

The formula of Latitude given Depth of Frictional Influence by Eckman is expressed as Latitude of a Position on Earth Surface = asin(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*(Depth of Frictional Influence by Eckman/pi)^2)). Here is an example- 1212.202 = asin(0.6/(1000*7.2921159E-05*(15.01/pi)^2)).

How to calculate Latitude given Depth of Frictional Influence by Eckman?

With Vertical Eddy Viscosity Coefficient (ε_v), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Depth of Frictional Influence by Eckman (D_Eddy) we can find Latitude given Depth of Frictional Influence by Eckman using the formula - Latitude of a Position on Earth Surface = asin(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*(Depth of Frictional Influence by Eckman/pi)^2)). This formula also uses Archimedes' constant and , Sine (sin), Inverse Sine (asin) function(s).

Can the Latitude given Depth of Frictional Influence by Eckman be negative?

No, the Latitude given Depth of Frictional Influence by Eckman, measured in Angle cannot be negative.

Which unit is used to measure Latitude given Depth of Frictional Influence by Eckman?

Latitude given Depth of Frictional Influence by Eckman is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Latitude given Depth of Frictional Influence by Eckman can be measured.

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Latitude given Depth of Frictional Influence by Eckman Formula

Latitude given Depth of Frictional Influence by Eckman Example

Latitude given Depth of Frictional Influence by Eckman Solution

Latitude given Depth of Frictional Influence by Eckman Formula Elements

Other formulas in Eckman Wind Drift category

How to Evaluate Latitude given Depth of Frictional Influence by Eckman?

FAQs on Latitude given Depth of Frictional Influence by Eckman

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