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Current Velocity given Pressure Gradient Normal to Current Formula

GoCurrent Velocity given Coriolis Acceleration 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{(\frac{1}{ρ water}) \cdot (δp /δn)}{2 \cdot Ω E \cdot \sin (L)}

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

Current Velocity given Pressure Gradient Normal to Current Example

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

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

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

49.8283 = \frac{(\frac{1}{1000}) \cdot (4000)}{2 \cdot 7.3E-5 \cdot \sin (20)}

49.8283mi/s = \frac{(\frac{1}{1000kg/m³}) \cdot (4000)}{2 \cdot 7.3E-5rad/s \cdot \sin (20°)}

49.8283 = \frac{(\frac{1}{1000}) \cdot (4000)}{2 \cdot 7.3E-5 \cdot \sin (20)}

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Current Velocity given Pressure Gradient Normal to Current Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{(\frac{1}{1000kg/m³}) \cdot (4000)}{2 \cdot 7.3E-5rad/s \cdot \sin (20°)}

Next Step Convert Units

∴

V = \frac{(\frac{1}{1000kg/m³}) \cdot (4000)}{2 \cdot 7.3E-5rad/s \cdot \sin (0.3491rad)}

Next Step Prepare to Evaluate

∴

V = \frac{(\frac{1}{1000}) \cdot (4000)}{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 Pressure Gradient Normal to Current 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

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

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 Coriolis Acceleration

V = \frac{a C}{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 Pressure Gradient Normal to Current?

Current Velocity given Pressure Gradient Normal to Current evaluator uses Current Velocity = ((1/Water Density)*(Pressure Gradient))/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)) to evaluate the Current Velocity, The Current Velocity given Pressure Gradient Normal to Current is defined as the speed of fluid flow resulting from a pressure gradient acting perpendicular to the direction of flow. Current Velocity is denoted by V symbol.

How to evaluate Current Velocity given Pressure Gradient Normal to Current using this online evaluator? To use this online evaluator for Current Velocity given Pressure Gradient Normal to Current, enter Water Density (ρ_water), Pressure Gradient (δp_/δn), 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 Pressure Gradient Normal to Current

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

The formula of Current Velocity given Pressure Gradient Normal to Current is expressed as Current Velocity = ((1/Water Density)*(Pressure Gradient))/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)). Here is an example- 0.030962 = ((1/1000)*(4000))/(2*7.2921159E-05*sin(0.3490658503988)).

How to calculate Current Velocity given Pressure Gradient Normal to Current?

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

What are the other ways to Calculate Current Velocity?

Here are the different ways to Calculate Current Velocity-

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

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

Yes, the Current Velocity given Pressure Gradient Normal to Current, measured in Speed can be negative.

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

Current Velocity given Pressure Gradient Normal to Current 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 Pressure Gradient Normal to Current can be measured.

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Current Velocity given Pressure Gradient Normal to Current Formula

​GoCurrent Velocity given Coriolis Acceleration Formula

Current Velocity given Pressure Gradient Normal to Current Example

Current Velocity given Pressure Gradient Normal to Current Solution

Current Velocity given Pressure Gradient Normal to Current Formula Elements

Other Formulas to find Current Velocity

Other formulas in Dynamics of Ocean Currents category

How to Evaluate Current Velocity given Pressure Gradient Normal to Current?

FAQs on Current Velocity given Pressure Gradient Normal to Current

Variable Name

GoCurrent Velocity given Coriolis Acceleration Formula