Latitude given Pressure Gradient Normal to Current Calculator

✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location.ⓘ Pressure Gradient [δp_/δn]			+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%
✖Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.ⓘ Current Velocity [V]			+10% -10%

✖The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.ⓘ Latitude given Pressure Gradient Normal to Current [L]

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Formula

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Latitude given Pressure Gradient Normal to Current

Formula

`"L" = asin(((1/"ρ"_{"water"})*"δp"_{"/δn"})/(2*"Ω"_{"E"}*"V"))`

Example

`"20.01184°"=asin(((1/"1000kg/m³")*"4000")/(2*"7.2921159E^-05rad/s"*"49.8mi/s"))`

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Latitude given Pressure Gradient Normal to Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity))
L = asin(((1/ρ_water)*δp_/δn)/(2*Ω_E*V))
This formula uses 2 Functions, 5 Variables

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.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Pressure Gradient - Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location.
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.
Current Velocity - (Measured in Meter per Second) - Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.

STEP 1: Convert Input(s) to Base Unit

Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Pressure Gradient: 4000 --> No Conversion Required
Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required
Current Velocity: 49.8 Mile per Second --> 80145.3312 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = asin(((1/ρ_water)*δp_/δn)/(2*Ω_E*V)) --> asin(((1/1000)*4000)/(2*7.2921159E-05*80145.3312))

Evaluating ... ...

L = 0.349272518770321

STEP 3: Convert Result to Output's Unit

0.349272518770321 Radian -->20.011841225447 Degree (Check conversion here)

FINAL ANSWER

20.011841225447 ≈ 20.01184 Degree <-- Latitude of a Position on Earth Surface

(Calculation completed in 00.004 seconds)

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< 7 Dynamics of Ocean Currents Calculators

Current Velocity given Pressure Gradient Normal to Current

Go Current Velocity = ((1/Water Density)*(Pressure Gradient))/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))

Angular Velocity given Pressure Gradient Normal to Current

Go Angular Speed of the Earth = ((1/Water Density)*(Pressure Gradient))/(2*sin(Latitude of a Position on Earth Surface)*Current Velocity)

Latitude given Pressure Gradient Normal to Current

Go Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity))

Pressure Gradient Normal to Current

Go Pressure Gradient = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity/(1/Water Density)

Latitude given Coriolis Acceleration

Go Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity))

Current Velocity given Coriolis Acceleration

Go Current Velocity = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface))

Coriolis Acceleration

Go Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity

Latitude given Pressure Gradient Normal to Current Formula

Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity))
L = asin(((1/ρ_water)*δp_/δn)/(2*Ω_E*V))

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 Pressure Gradient Normal to Current?

Latitude given Pressure Gradient Normal to Current calculator uses Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity)) to calculate the Latitude of a Position on Earth Surface, The Latitude given Pressure Gradient Normal to Current is defined as geographic coordinate that specifies north–south position of point on Earth's surface. Latitude of a Position on Earth Surface is denoted by L symbol.

How to calculate Latitude given Pressure Gradient Normal to Current using this online calculator? To use this online calculator for Latitude given Pressure Gradient Normal to Current, enter Water Density (ρ_water), Pressure Gradient (δp_/δn), Angular Speed of the Earth (Ω_E) & Current Velocity (V) and hit the calculate button. Here is how the Latitude given Pressure Gradient Normal to Current calculation can be explained with given input values -> 3775.646 = asin(((1/1000)*4000)/(2*7.2921159E-05*80145.3312)).

FAQ

What is Latitude given Pressure Gradient Normal to Current?

The Latitude given Pressure Gradient Normal to Current is defined as geographic coordinate that specifies north–south position of point on Earth's surface and is represented as L = asin(((1/ρ_water)*δp_/δn)/(2*Ω_E*V)) or Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity)). Water Density is mass per unit of water, Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location, Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time & Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.

How to calculate Latitude given Pressure Gradient Normal to Current?

The Latitude given Pressure Gradient Normal to Current is defined as geographic coordinate that specifies north–south position of point on Earth's surface is calculated using Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity)). To calculate Latitude given Pressure Gradient Normal to Current, you need Water Density (ρ_water), Pressure Gradient (δp_/δn), Angular Speed of the Earth (Ω_E) & Current Velocity (V). With our tool, you need to enter the respective value for Water Density, Pressure Gradient, Angular Speed of the Earth & Current Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Latitude of a Position on Earth Surface?

In this formula, Latitude of a Position on Earth Surface uses Water Density, Pressure Gradient, Angular Speed of the Earth & Current Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity))

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