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Latitude given Velocity at Surface Calculator

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✖Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface.ⓘ Shear Stress at the Water Surface [τ]			+10% -10%
✖Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc.ⓘ Velocity at the Surface [V_s]			+10% -10%
✖Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.ⓘ Depth of Frictional Influence [D_F]			+10% -10%
✖Water Density is mass per unit volume of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time.ⓘ Angular Speed of the Earth [Ω_E]			+10% -10%

✖Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.ⓘ Latitude given Velocity at Surface [L]

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Latitude given Velocity at Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Latitude of the Line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth))
L = asin((pi*τ/V_s)^2/(2*D_F*ρ_water*Ω_E))
This formula uses 1 Constants, 2 Functions, 6 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 the Line - (Measured in Meter) - Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.
Shear Stress at the Water Surface - (Measured in Pascal) - Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface.
Velocity at the Surface - (Measured in Meter per Second) - Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc.
Depth of Frictional Influence - (Measured in Meter) - Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit volume of water.
Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time.

STEP 1: Convert Input(s) to Base Unit

Shear Stress at the Water Surface: 0.6 Newton per Square Meter --> 0.6 Pascal (Check conversion here)
Velocity at the Surface: 0.5 Meter per Second --> 0.5 Meter per Second No Conversion Required
Depth of Frictional Influence: 120 Meter --> 120 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = asin((pi*τ/V_s)^2/(2*D_F*ρ_water*Ω_E)) --> asin((pi*0.6/0.5)^2/(2*120*1000*7.2921159E-05))

Evaluating ... ...

L = 0.947703312627697

STEP 3: Convert Result to Output's Unit

0.947703312627697 Meter --> No Conversion Required

FINAL ANSWER

0.947703312627697 ≈ 0.947703 Meter <-- Latitude of the Line

(Calculation completed in 00.020 seconds)

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Latitude given Velocity at Surface 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 Velocity at Surface?

Latitude given Velocity at Surface calculator uses Latitude of the Line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth)) to calculate the Latitude of the Line, The Latitude given Velocity at Surface formula is defined as measurement of distance north or south of Equator. A circle of latitude is imaginary ring linking all points sharing parallel. Latitude of the Line is denoted by L symbol.

How to calculate Latitude given Velocity at Surface using this online calculator? To use this online calculator for Latitude given Velocity at Surface, enter Shear Stress at the Water Surface (τ), Velocity at the Surface (V_s), Depth of Frictional Influence (D_F), Water Density (ρ_water) & Angular Speed of the Earth (Ω_E) and hit the calculate button. Here is how the Latitude given Velocity at Surface calculation can be explained with given input values -> 0.947703 = asin((pi*0.6/0.5)^2/(2*120*1000*7.2921159E-05)).

FAQ

What is Latitude given Velocity at Surface?

The Latitude given Velocity at Surface formula is defined as measurement of distance north or south of Equator. A circle of latitude is imaginary ring linking all points sharing parallel and is represented as L = asin((pi*τ/V_s)^2/(2*D_F*ρ_water*Ω_E)) or Latitude of the Line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth)). Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface, Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc, Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water, Water Density is mass per unit volume of water & Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time.

How to calculate Latitude given Velocity at Surface?

The Latitude given Velocity at Surface formula is defined as measurement of distance north or south of Equator. A circle of latitude is imaginary ring linking all points sharing parallel is calculated using Latitude of the Line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth)). To calculate Latitude given Velocity at Surface, you need Shear Stress at the Water Surface (τ), Velocity at the Surface (V_s), Depth of Frictional Influence (D_F), Water Density (ρ_water) & Angular Speed of the Earth (Ω_E). With our tool, you need to enter the respective value for Shear Stress at the Water Surface, Velocity at the Surface, Depth of Frictional Influence, Water Density & Angular Speed of the Earth 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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