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/ρwater)*δp/δn)/(2*ΩE*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/ρwater)*δp/δn)/(2*ΩE*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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Dynamics of Ocean Currents Calculators

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

​LaTeX ​Go
Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity))
L = asin(((1/ρwater)*δp/δn)/(2*ΩE*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 water), Pressure Gradient (δp/δn), Angular Speed of the Earth 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/ρwater)*δp/δn)/(2*ΩE*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 water), Pressure Gradient (δp/δn), Angular Speed of the Earth 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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