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Pressure Gradient Normal to Current Formula

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Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location. Check FAQs

δp /δn = 2 \cdot Ω E \cdot \sin (L) \cdot \frac{V}{\frac{1}{ρ water}}

δp_/δn - Pressure Gradient?Ω_E - Angular Speed of the Earth?L - Latitude of a Position on Earth Surface?V - Current Velocity?ρ_water - Water Density?

Pressure Gradient Normal to Current Example

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Here is how the Pressure Gradient Normal to Current equation looks like with Values.

Here is how the Pressure Gradient Normal to Current equation looks like with Units.

Here is how the Pressure Gradient Normal to Current equation looks like.

3997.7301 = 2 \cdot 7.3E-5 \cdot \sin (20) \cdot \frac{49.8}{\frac{1}{1000}}

3997.7301 = 2 \cdot 7.3E-5rad/s \cdot \sin (20°) \cdot \frac{49.8mi/s}{\frac{1}{1000kg/m³}}

3997.7301 = 2 \cdot 7.3E-5 \cdot \sin (20) \cdot \frac{49.8}{\frac{1}{1000}}

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Pressure Gradient Normal to Current Solution

Follow our step by step solution on how to calculate Pressure Gradient Normal to Current?

FIRST Step Consider the formula

δp /δn = 2 \cdot Ω E \cdot \sin (L) \cdot \frac{V}{\frac{1}{ρ water}}

Next Step Substitute values of Variables

∴

δp /δn = 2 \cdot 7.3E-5rad/s \cdot \sin (20°) \cdot \frac{49.8mi/s}{\frac{1}{1000kg/m³}}

Next Step Convert Units

∴

δp /δn = 2 \cdot 7.3E-5rad/s \cdot \sin (0.3491rad) \cdot \frac{80145.3312m/s}{\frac{1}{1000kg/m³}}

Next Step Prepare to Evaluate

∴

δp /δn = 2 \cdot 7.3E-5 \cdot \sin (0.3491) \cdot \frac{80145.3312}{\frac{1}{1000}}

Next Step Evaluate

∴

δp /δn = 3997.73010753785

LAST Step Rounding Answer

∴

δp /δn = 3997.7301

Pressure Gradient Normal to Current Formula Elements

Variables

Functions

Pressure Gradient

Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location.

Symbol: δp_/δn

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Pressure Gradient

Angular Speed of the Earth

Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

Symbol: Ω_E

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of the Earth

Latitude of a Position on Earth Surface

The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.

Symbol: L

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Latitude of a Position on Earth Surface

Current Velocity

Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.

Symbol: V

Measurement: SpeedUnit: mi/s

Note: Value can be positive or negative.

Formulas to find Current Velocity

Water Density

Water Density is mass per unit of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

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.

Syntax: sin(Angle)

Other formulas in Dynamics of Ocean Currents category

Go Coriolis Acceleration

a C = 2 \cdot Ω E \cdot \sin (L) \cdot V

Go Current Velocity given Coriolis Acceleration

V = \frac{a C}{2 \cdot Ω E \cdot \sin (L)}

Go Latitude given Coriolis Acceleration

L = a \sin (\frac{a C}{2 \cdot Ω E \cdot V})

Go Current Velocity given Pressure Gradient Normal to Current

V = \frac{(\frac{1}{ρ water}) \cdot (δp /δn)}{2 \cdot Ω E \cdot \sin (L)}

How to Evaluate Pressure Gradient Normal to Current?

Pressure Gradient Normal to Current evaluator uses Pressure Gradient = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity/(1/Water Density) to evaluate 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 evaluate Pressure Gradient Normal to Current using this online evaluator? To use this online evaluator 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.

FAQs on Pressure Gradient Normal to Current

What is the formula to find Pressure Gradient Normal to Current?

The formula of Pressure Gradient Normal to Current is expressed as Pressure Gradient = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity/(1/Water Density). Here is an example- 1498.747 = 2*7.2921159E-05*sin(0.3490658503988)*80145.3312/(1/1000).

How to calculate Pressure Gradient Normal to Current?

With Angular Speed of the Earth (Ω_E), Latitude of a Position on Earth Surface (L), Current Velocity (V) & Water Density (ρ_water) we can find Pressure Gradient Normal to Current using the formula - Pressure Gradient = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity/(1/Water Density). This formula also uses Sine (sin) function(s).

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Pressure Gradient Normal to Current Formula

Pressure Gradient Normal to Current Example

Pressure Gradient Normal to Current Solution

Pressure Gradient Normal to Current Formula Elements

Other formulas in Dynamics of Ocean Currents category

How to Evaluate Pressure Gradient Normal to Current?

FAQs on Pressure Gradient Normal to Current

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