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Angular Velocity given Pressure Gradient Normal to Current Formula

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

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

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

Angular Velocity given Pressure Gradient Normal to Current Example

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

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

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

7.3E-5 = \frac{(\frac{1}{1000}) \cdot (4000)}{2 \cdot \sin (20) \cdot 49.8}

7.3E-5rad/s = \frac{(\frac{1}{1000kg/m³}) \cdot (4000)}{2 \cdot \sin (20°) \cdot 49.8mi/s}

7.3E-5 = \frac{(\frac{1}{1000}) \cdot (4000)}{2 \cdot \sin (20) \cdot 49.8}

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Angular Velocity given Pressure Gradient Normal to Current Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Ω E = \frac{(\frac{1}{1000kg/m³}) \cdot (4000)}{2 \cdot \sin (20°) \cdot 49.8mi/s}

Next Step Convert Units

∴

Ω E = \frac{(\frac{1}{1000kg/m³}) \cdot (4000)}{2 \cdot \sin (0.3491rad) \cdot 80145.3312m/s}

Next Step Prepare to Evaluate

∴

Ω E = \frac{(\frac{1}{1000}) \cdot (4000)}{2 \cdot \sin (0.3491) \cdot 80145.3312}

Next Step Evaluate

∴

Ω E = 7.29625632931096E-05rad/s

LAST Step Rounding Answer

∴

Ω E = 7.3E-5rad/s

Angular Velocity given Pressure Gradient Normal to Current Formula Elements

Variables

Functions

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

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

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

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 Pressure Gradient Normal to Current

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

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

Angular Velocity given Pressure Gradient Normal to Current evaluator uses Angular Speed of the Earth = ((1/Water Density)*(Pressure Gradient))/(2*sin(Latitude of a Position on Earth Surface)*Current Velocity) to evaluate the Angular Speed of the Earth, The Angular Velocity given Pressure Gradient Normal to Current is defined as the rate of rotation around axis usually expressed in radians or revolutions per second or per minute. Angular Speed of the Earth is denoted by Ω_E symbol.

How to evaluate Angular Velocity given Pressure Gradient Normal to Current using this online evaluator? To use this online evaluator for Angular Velocity given Pressure Gradient Normal to Current, enter Water Density (ρ_water), Pressure Gradient (δp_/δn), Latitude of a Position on Earth Surface (L) & Current Velocity (V) and hit the calculate button.

FAQs on Angular Velocity given Pressure Gradient Normal to Current

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

The formula of Angular Velocity given Pressure Gradient Normal to Current is expressed as Angular Speed of the Earth = ((1/Water Density)*(Pressure Gradient))/(2*sin(Latitude of a Position on Earth Surface)*Current Velocity). Here is an example- 0.000195 = ((1/1000)*(4000))/(2*sin(0.3490658503988)*80145.3312).

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

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

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

No, the Angular Velocity given Pressure Gradient Normal to Current, measured in Angular Velocity cannot be negative.

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

Angular Velocity given Pressure Gradient Normal to Current is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity given Pressure Gradient Normal to Current can be measured.

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Angular Velocity given Pressure Gradient Normal to Current Formula

Angular Velocity given Pressure Gradient Normal to Current Example

Angular Velocity given Pressure Gradient Normal to Current Solution

Angular Velocity given Pressure Gradient Normal to Current Formula Elements

Other formulas in Dynamics of Ocean Currents category

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

FAQs on Angular Velocity given Pressure Gradient Normal to Current

Variable Name