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Latitude given Pressure Gradient Normal to Current Formula

GoLatitude given Coriolis Acceleration Formula

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

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

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

Latitude given Pressure Gradient Normal to Current Example

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

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

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

20.0118 = a \sin (\frac{(\frac{1}{1000}) \cdot 4000}{2 \cdot 7.3E-5 \cdot 49.8})

20.0118° = a \sin (\frac{(\frac{1}{1000kg/m³}) \cdot 4000}{2 \cdot 7.3E-5rad/s \cdot 49.8mi/s})

20.0118 = a \sin (\frac{(\frac{1}{1000}) \cdot 4000}{2 \cdot 7.3E-5 \cdot 49.8})

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Latitude given Pressure Gradient Normal to Current Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = a \sin (\frac{(\frac{1}{1000kg/m³}) \cdot 4000}{2 \cdot 7.3E-5rad/s \cdot 49.8mi/s})

Next Step Convert Units

∴

L = a \sin (\frac{(\frac{1}{1000kg/m³}) \cdot 4000}{2 \cdot 7.3E-5rad/s \cdot 80145.3312m/s})

Next Step Prepare to Evaluate

∴

L = a \sin (\frac{(\frac{1}{1000}) \cdot 4000}{2 \cdot 7.3E-5 \cdot 80145.3312})

Next Step Evaluate

∴

L = 0.349272518770321rad

Next Step Convert to Output's Unit

∴

L = 20.011841225447°

LAST Step Rounding Answer

∴

L = 20.0118°

Latitude given Pressure Gradient Normal to Current Formula Elements

Variables

Functions

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

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

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

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

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)

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.

Syntax: asin(Number)

Other Formulas to find Latitude of a Position on Earth Surface

Go Latitude given Coriolis Acceleration

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

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 Pressure Gradient Normal to Current

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

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 Latitude given Pressure Gradient Normal to Current?

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

FAQs on Latitude given Pressure Gradient Normal to Current

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

The formula of Latitude given Pressure Gradient Normal to Current is expressed as Latitude of a Position on Earth Surface = asin(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity)). Here is an example- 3775.646 = asin(((1/1000)*4000)/(2*7.2921159E-05*80145.3312)).

How to calculate Latitude given Pressure Gradient Normal to Current?

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

What are the other ways to Calculate Latitude of a Position on Earth Surface?

Here are the different ways to Calculate Latitude of a Position on Earth Surface-

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

Can the Latitude given Pressure Gradient Normal to Current be negative?

No, the Latitude given Pressure Gradient Normal to Current, measured in Angle cannot be negative.

Which unit is used to measure Latitude given Pressure Gradient Normal to Current?

Latitude given Pressure Gradient Normal to Current is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Latitude given Pressure Gradient Normal to Current can be measured.

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Latitude given Pressure Gradient Normal to Current Formula

​GoLatitude given Coriolis Acceleration Formula

Latitude given Pressure Gradient Normal to Current Example

Latitude given Pressure Gradient Normal to Current Solution

Latitude given Pressure Gradient Normal to Current Formula Elements

Other Formulas to find Latitude of a Position on Earth Surface

Other formulas in Dynamics of Ocean Currents category

How to Evaluate Latitude given Pressure Gradient Normal to Current?

FAQs on Latitude given Pressure Gradient Normal to Current

Variable Name

GoLatitude given Coriolis Acceleration Formula