Pressure Gradient Normal to Current Calculator

✖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%
✖The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.ⓘ Latitude of a Position on Earth Surface [L]			+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%
✖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 Normal to Current [δp_/δn]

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Pressure Gradient Normal to Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.

STEP 1: Convert Input(s) to Base Unit

Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required
Latitude of a Position on Earth Surface: 20 Degree --> 0.3490658503988 Radian (Check conversion here)
Current Velocity: 49.8 Mile per Second --> 80145.3312 Meter per Second (Check conversion here)
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

δp_/δn = 2*Ω_E*sin(L)*V/(1/ρ_water) --> 2*7.2921159E-05*sin(0.3490658503988)*80145.3312/(1/1000)

Evaluating ... ...

δp_/δn = 3997.73010753785

STEP 3: Convert Result to Output's Unit

3997.73010753785 --> No Conversion Required

FINAL ANSWER

3997.73010753785 ≈ 3997.73 <-- Pressure Gradient

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Pressure Gradient Normal to Current Formula

LaTeX Go

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

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 Pressure Gradient Normal to Current?

Pressure Gradient Normal to Current calculator uses Pressure Gradient = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity/(1/Water Density) to calculate the Pressure Gradient, The Pressure Gradient Normal to Current is defined as horizontal gradient also perpendicular to current direction and counteracting Coriolis acceleration. Pressure Gradient is denoted by δp_/δn symbol.

How to calculate Pressure Gradient Normal to Current using this online calculator? To use this online calculator for Pressure Gradient Normal to Current, enter Angular Speed of the Earth (Ω_E), Latitude of a Position on Earth Surface (L), Current Velocity (V) & Water Density (ρ_water) and hit the calculate button. Here is how the Pressure Gradient Normal to Current calculation can be explained with given input values -> 1498.747 = 2*7.2921159E-05*sin(0.3490658503988)*80145.3312/(1/1000).

FAQ

What is Pressure Gradient Normal to Current?

The Pressure Gradient Normal to Current is defined as horizontal gradient also perpendicular to current direction and counteracting Coriolis acceleration and is represented as δp_/δn = 2*Ω_E*sin(L)*V/(1/ρ_water) or Pressure Gradient = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity/(1/Water Density). Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time, The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator, Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water & Water Density is mass per unit of water.

How to calculate Pressure Gradient Normal to Current?

The Pressure Gradient Normal to Current is defined as horizontal gradient also perpendicular to current direction and counteracting Coriolis acceleration is calculated using Pressure Gradient = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity/(1/Water Density). To calculate Pressure Gradient Normal to Current, you need Angular Speed of the Earth (Ω_E), Latitude of a Position on Earth Surface (L), Current Velocity (V) & Water Density (ρ_water). With our tool, you need to enter the respective value for Angular Speed of the Earth, Latitude of a Position on Earth Surface, Current Velocity & Water Density 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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