Angle between Wind and Current Direction Calculator

✖Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.ⓘ Vertical Coordinate [z]			+10% -10%
✖Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.ⓘ Depth of Frictional Influence [D]			+10% -10%

✖Angle between the Wind and Current Direction depends on vertical coordinate and depth of frictional influence.ⓘ Angle between Wind and Current Direction [θ]

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Formula

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Angle between Wind and Current Direction

Formula

`"θ" = 45+(pi*"z"/"D")`

Example

`"49.18879"=45+(pi*"160"/"120m")`

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Angle between Wind and Current Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence)
θ = 45+(pi*z/D)
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

STEP 1: Convert Input(s) to Base Unit

Vertical Coordinate: 160 --> No Conversion Required
Depth of Frictional Influence: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

θ = 45+(pi*z/D) --> 45+(pi*160/120)

Evaluating ... ...

θ = 49.1887902047864

STEP 3: Convert Result to Output's Unit

49.1887902047864 --> No Conversion Required

FINAL ANSWER

49.1887902047864 ≈ 49.18879 <-- Angle between the Wind and Current Direction

(Calculation completed in 00.004 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

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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

Angle between Wind and Current Direction Formula

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

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 Angle between Wind and Current Direction?

Angle between Wind and Current Direction calculator uses Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence) to calculate 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 calculate Angle between Wind and Current Direction using this online calculator? To use this online calculator for Angle between Wind and Current Direction, enter Vertical Coordinate (z) & Depth of Frictional Influence (D) and hit the calculate button. Here is how the Angle between Wind and Current Direction calculation can be explained with given input values -> 49.18879 = 45+(pi*160/120).

FAQ

What is Angle between 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 and is represented as θ = 45+(pi*z/D) or Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence). Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction & Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.

How to calculate Angle between 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 is calculated using Angle between the Wind and Current Direction = 45+(pi*Vertical Coordinate/Depth of Frictional Influence). To calculate Angle between Wind and Current Direction, you need Vertical Coordinate (z) & Depth of Frictional Influence (D). With our tool, you need to enter the respective value for Vertical Coordinate & Depth of Frictional Influence 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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