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

STEP 0: Pre-Calculation Summary
Formula Used
Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi
z = D*(θ-45)/pi
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Vertical Coordinate - Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.
Depth of Frictional Influence - (Measured in Meter) - Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.
Angle between the Wind and Current Direction - Angle between the Wind and Current Direction depends on vertical coordinate and depth of frictional influence.
STEP 1: Convert Input(s) to Base Unit
Depth of Frictional Influence: 120 Meter --> 120 Meter No Conversion Required
Angle between the Wind and Current Direction: 49.19 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
z = D*(θ-45)/pi --> 120*(49.19-45)/pi
Evaluating ... ...
z = 160.04621077321
STEP 3: Convert Result to Output's Unit
160.04621077321 --> No Conversion Required
FINAL ANSWER
160.04621077321 160.0462 <-- Vertical Coordinate
(Calculation completed in 00.004 seconds)

Credits

Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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15 Eckman Wind Drift Calculators

Velocity at Surface given Velocity Component along Horizontal x Axis
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
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
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)))
Latitude given Depth of Frictional Influence by Eckman
Go 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 given Depth of Frictional Influence by Eckman
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
Velocity in Current Profile in Three Dimensions by introducing Polar Coordinates
Go Velocity in the Current Profile = Velocity at the Surface*e^(pi*Vertical Coordinate/Depth of Frictional Influence)
Volume Flow Rates per unit of Ocean Width
Go Volume Flow Rates per unit of Ocean Width = (Velocity at the Surface*Depth of Frictional Influence)/(pi*sqrt(2))
Depth given Volume Flow rate per unit of Ocean Width
Go Depth of Frictional Influence = (Volume Flow Rates per unit of Ocean Width*pi*sqrt(2))/Velocity at the Surface
Velocity at Surface given Velocity detail of Current Profile in Three Dimensions
Go Velocity at the Surface = Current Profile Velocity/(e^(pi*Vertical Coordinate/Depth of Frictional Influence))
Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction
Go Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi
Depth given Angle between Wind and Current Direction
Go Depth of Frictional Influence = pi*Vertical Coordinate/(Angle between the Wind and Current Direction-45)
Angle between Wind and Current Direction
Go Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence)
Density given Atmospheric Pressure whose value of Thousand is reduced from Density Value
Go Density of Salt Water = Difference of Density Values+1000
Atmospheric Pressure as function of Salinity and Temperature
Go Difference of Density Values = 0.75*Salinity of Water
Salinity given Atmospheric Pressure
Go Salinity of Water = Difference of Density Values/0.75

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

Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi
z = D*(θ-45)/pi

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

Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction calculator uses Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi to calculate 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 calculate Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction using this online calculator? To use this online calculator for Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction, enter Depth of Frictional Influence (D) & Angle between the Wind and Current Direction (θ) and hit the calculate button. Here is how the Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction calculation can be explained with given input values -> 160.0462 = 120*(49.19-45)/pi.

FAQ

What is Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction?
The Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction is defined as parameter influencing Angle between Wind and Current and is represented as z = D*(θ-45)/pi or Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi. Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important & Angle between the Wind and Current Direction depends on vertical coordinate and depth of frictional influence.
How to calculate Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction?
The Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction is defined as parameter influencing Angle between Wind and Current is calculated using Vertical Coordinate = Depth of Frictional Influence*(Angle between the Wind and Current Direction-45)/pi. To calculate Vertical Coordinate from Ocean Surface given Angle between Wind and Current Direction, you need Depth of Frictional Influence (D) & Angle between the Wind and Current Direction (θ). With our tool, you need to enter the respective value for Depth of Frictional Influence & Angle between the Wind and Current Direction 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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