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Latitude given Coriolis Acceleration Formula

GoLatitude given Pressure Gradient Normal to Current 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{a C}{2 \cdot Ω E \cdot V})

L - Latitude of a Position on Earth Surface?a_C - Horizontal Component of Coriolis Acceleration?Ω_E - Angular Speed of the Earth?V - Current Velocity?

Latitude given Coriolis Acceleration Example

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Here is how the Latitude given Coriolis Acceleration equation looks like with Values.

Here is how the Latitude given Coriolis Acceleration equation looks like with Units.

Here is how the Latitude given Coriolis Acceleration equation looks like.

20.0118 = a \sin (\frac{4}{2 \cdot 7.3E-5 \cdot 49.8})

20.0118° = a \sin (\frac{4}{2 \cdot 7.3E-5rad/s \cdot 49.8mi/s})

20.0118 = a \sin (\frac{4}{2 \cdot 7.3E-5 \cdot 49.8})

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Latitude given Coriolis Acceleration Solution

Follow our step by step solution on how to calculate Latitude given Coriolis Acceleration?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

L = a \sin (\frac{4}{2 \cdot 7.3E-5rad/s \cdot 49.8mi/s})

Next Step Convert Units

∴

L = a \sin (\frac{4}{2 \cdot 7.3E-5rad/s \cdot 80145.3312m/s})

Next Step Prepare to Evaluate

∴

L = a \sin (\frac{4}{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 Coriolis Acceleration 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

Horizontal Component of Coriolis Acceleration

Horizontal Component of Coriolis Acceleration is defined as the acceleration due to the rotation of the earth, experienced by particles (water parcels, for example) moving along the earth's surface.

Symbol: a_C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Horizontal Component of Coriolis Acceleration

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 Pressure Gradient Normal to Current

L = a \sin (\frac{(\frac{1}{ρ water}) \cdot δp /δn}{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 Coriolis Acceleration?

Latitude given Coriolis Acceleration evaluator uses Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity)) to evaluate the Latitude of a Position on Earth Surface, The Latitude given Coriolis Acceleration 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 Coriolis Acceleration using this online evaluator? To use this online evaluator for Latitude given Coriolis Acceleration, enter Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Current Velocity (V) and hit the calculate button.

FAQs on Latitude given Coriolis Acceleration

What is the formula to find Latitude given Coriolis Acceleration?

The formula of Latitude given Coriolis Acceleration is expressed as Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity)). Here is an example- 3775.646 = asin(4/(2*7.2921159E-05*80145.3312)).

How to calculate Latitude given Coriolis Acceleration?

With Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Current Velocity (V) we can find Latitude given Coriolis Acceleration using the formula - Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(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(((1/Water Density)*Pressure Gradient)/(2*Angular Speed of the Earth*Current Velocity))

Can the Latitude given Coriolis Acceleration be negative?

No, the Latitude given Coriolis Acceleration, measured in Angle cannot be negative.

Which unit is used to measure Latitude given Coriolis Acceleration?

Latitude given Coriolis Acceleration is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Latitude given Coriolis Acceleration can be measured.

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Latitude given Coriolis Acceleration Formula

​GoLatitude given Pressure Gradient Normal to Current Formula

Latitude given Coriolis Acceleration Example

Latitude given Coriolis Acceleration Solution

Latitude given Coriolis Acceleration 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 Coriolis Acceleration?

FAQs on Latitude given Coriolis Acceleration

Variable Name

GoLatitude given Pressure Gradient Normal to Current Formula