Latitude given Depth of Frictional Influence by Eckman Calculator

✖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.ⓘ Vertical Eddy Viscosity Coefficient [ε_v]			+10% -10%
✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.ⓘ Angular Speed of the Earth [Ω_E]			+10% -10%
✖Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction.ⓘ Depth of Frictional Influence by Eckman [D_Eddy]			+10% -10%

✖The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.ⓘ Latitude given Depth of Frictional Influence by Eckman [L]

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Latitude given Depth of Frictional Influence by Eckman Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
L = asin(ε_v/(ρ_water*Ω_E*(D_Eddy/pi)^2))
This formula uses 1 Constants, 2 Functions, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

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., 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., asin(Number)

Variables Used

Latitude of a Position on Earth Surface - (Measured in Radian) - The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.
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.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.
Depth of Frictional Influence by Eckman - (Measured in Meter) - Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction.

STEP 1: Convert Input(s) to Base Unit

Vertical Eddy Viscosity Coefficient: 0.6 --> No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required
Depth of Frictional Influence by Eckman: 15.01 Meter --> 15.01 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = asin(ε_v/(ρ_water*Ω_E*(D_Eddy/pi)^2)) --> asin(0.6/(1000*7.2921159E-05*(15.01/pi)^2))

Evaluating ... ...

L = 0.368742286901095

STEP 3: Convert Result to Output's Unit

0.368742286901095 Radian -->21.1273767674389 Degree (Check conversion here)

FINAL ANSWER

21.1273767674389 ≈ 21.12738 Degree <-- Latitude of a Position on Earth Surface

(Calculation completed in 00.007 seconds)

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< Eckman Wind Drift Calculators

Velocity at Surface given Velocity Component along Horizontal x Axis

LaTeX Go Velocity at the Surface = Velocity Component along a Horizontal x Axis/(e^(pi*Vertical Coordinate/Depth of Frictional Influence)*cos(45+(pi*Vertical Coordinate/Depth of Frictional Influence)))

Velocity Component along Horizontal x Axis

LaTeX Go Velocity Component along a Horizontal x Axis = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence)*cos(45+(pi*Vertical Coordinate/Depth of Frictional Influence))

Depth of Frictional Influence by Eckman

LaTeX Go Depth of Frictional Influence by Eckman = pi*sqrt(Vertical Eddy Viscosity Coefficient/(Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)))

Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman

LaTeX Go Vertical Eddy Viscosity Coefficient = (Depth of Frictional Influence by Eckman^2*Water Density*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))/pi^2

Latitude given Depth of Frictional Influence by Eckman Formula

LaTeX Go

What is Ocean dynamics?

Ocean dynamics define and describe the motion of water within the oceans. Ocean temperature and motion fields can be separated into three distinct layers: mixed (surface) layer, upper ocean (above the thermocline), and deep ocean. Ocean dynamics has traditionally been investigated by sampling from instruments in situ.

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

Latitude given Depth of Frictional Influence by Eckman calculator 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 calculate 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 calculate Latitude given Depth of Frictional Influence by Eckman using this online calculator? To use this online calculator 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. Here is how the Latitude given Depth of Frictional Influence by Eckman calculation can be explained with given input values -> 1212.202 = asin(0.6/(1000*7.2921159E-05*(15.01/pi)^2)).

FAQ

What is Latitude given Depth of Frictional Influence by Eckman?

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 and is represented as L = asin(ε_v/(ρ_water*Ω_E*(D_Eddy/pi)^2)) or 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)). 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, Water Density is mass per unit of water, Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time & Depth of Frictional Influence by Eckman is the layer where ocean currents slow due to surface friction.

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

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 is calculated using 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 calculate Latitude given Depth of Frictional Influence by Eckman, you need 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). With our tool, you need to enter the respective value for Vertical Eddy Viscosity Coefficient, Water Density, Angular Speed of the Earth & Depth of Frictional Influence by Eckman and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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