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Current Velocity given Coriolis Acceleration Formula

GoCurrent Velocity given Pressure Gradient Normal to Current Formula

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

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

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

Current Velocity given Coriolis Acceleration Example

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

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

Here is how the Current Velocity given Coriolis Acceleration equation looks like.

49.8283 = \frac{4}{2 \cdot 7.3E-5 \cdot \sin (20)}

49.8283mi/s = \frac{4}{2 \cdot 7.3E-5rad/s \cdot \sin (20°)}

49.8283 = \frac{4}{2 \cdot 7.3E-5 \cdot \sin (20)}

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Current Velocity given Coriolis Acceleration Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{4}{2 \cdot 7.3E-5rad/s \cdot \sin (20°)}

Next Step Convert Units

∴

V = \frac{4}{2 \cdot 7.3E-5rad/s \cdot \sin (0.3491rad)}

Next Step Prepare to Evaluate

∴

V = \frac{4}{2 \cdot 7.3E-5 \cdot \sin (0.3491)}

Next Step Evaluate

∴

V = 80190.8373443054m/s

Next Step Convert to Output's Unit

∴

V = 49.8282762071412mi/s

LAST Step Rounding Answer

∴

V = 49.8283mi/s

Current Velocity given Coriolis Acceleration Formula Elements

Variables

Functions

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

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

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

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 to find Current Velocity

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)}

Other formulas in Dynamics of Ocean Currents category

Go Coriolis Acceleration

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

Go Latitude given Coriolis Acceleration

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

Go Pressure Gradient Normal to Current

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

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})

How to Evaluate Current Velocity given Coriolis Acceleration?

Current Velocity given Coriolis Acceleration evaluator uses Current Velocity = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)) to evaluate the Current Velocity, The Current Velocity given Coriolis Acceleration is defined as the current moving with constant speed along "straight" path.(" Straight" means that it follows great circle path). Current Velocity is denoted by V symbol.

How to evaluate Current Velocity given Coriolis Acceleration using this online evaluator? To use this online evaluator for Current Velocity given Coriolis Acceleration, enter Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Latitude of a Position on Earth Surface (L) and hit the calculate button.

FAQs on Current Velocity given Coriolis Acceleration

What is the formula to find Current Velocity given Coriolis Acceleration?

The formula of Current Velocity given Coriolis Acceleration is expressed as Current Velocity = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)). Here is an example- 0.030962 = 4/(2*7.2921159E-05*sin(0.3490658503988)).

How to calculate Current Velocity given Coriolis Acceleration?

With Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Latitude of a Position on Earth Surface (L) we can find Current Velocity given Coriolis Acceleration using the formula - Current Velocity = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)). This formula also uses Sine function(s).

What are the other ways to Calculate Current Velocity?

Here are the different ways to Calculate Current Velocity-

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

Can the Current Velocity given Coriolis Acceleration be negative?

Yes, the Current Velocity given Coriolis Acceleration, measured in Speed can be negative.

Which unit is used to measure Current Velocity given Coriolis Acceleration?

Current Velocity given Coriolis Acceleration is usually measured using the Mile per Second[mi/s] for Speed. Meter per Second[mi/s], Meter per Minute[mi/s], Meter per Hour[mi/s] are the few other units in which Current Velocity given Coriolis Acceleration can be measured.

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Current Velocity given Coriolis Acceleration Formula

​GoCurrent Velocity given Pressure Gradient Normal to Current Formula

Current Velocity given Coriolis Acceleration Example

Current Velocity given Coriolis Acceleration Solution

Current Velocity given Coriolis Acceleration Formula Elements

Other Formulas to find Current Velocity

Other formulas in Dynamics of Ocean Currents category

How to Evaluate Current Velocity given Coriolis Acceleration?

FAQs on Current Velocity given Coriolis Acceleration

Variable Name

GoCurrent Velocity given Pressure Gradient Normal to Current Formula