Angular Velocity given Pressure Gradient Normal to Current Calculator

✖Water Density is mass per unit of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location.ⓘ Pressure Gradient [δp_/δn]			+10% -10%
✖The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.ⓘ Latitude of a Position on Earth Surface [L]			+10% -10%
✖Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.ⓘ Current Velocity [V]			+10% -10%

✖Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.ⓘ Angular Velocity given Pressure Gradient Normal to Current [Ω_E]

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Angular Velocity given Pressure Gradient Normal to Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed of the Earth = ((1/Water Density)*(Pressure Gradient))/(2*sin(Latitude of a Position on Earth Surface)*Current Velocity)
Ω_E = ((1/ρ_water)*(δp_/δn))/(2*sin(L)*V)
This formula uses 1 Functions, 5 Variables

Functions Used

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., sin(Angle)

Variables Used

Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Pressure Gradient - Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location.
Latitude of a Position on Earth Surface - (Measured in Radian) - The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.
Current Velocity - (Measured in Meter per Second) - Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.

STEP 1: Convert Input(s) to Base Unit

Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Pressure Gradient: 4000 --> No Conversion Required
Latitude of a Position on Earth Surface: 20 Degree --> 0.3490658503988 Radian (Check conversion here)
Current Velocity: 49.8 Mile per Second --> 80145.3312 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω_E = ((1/ρ_water)*(δp_/δn))/(2*sin(L)*V) --> ((1/1000)*(4000))/(2*sin(0.3490658503988)*80145.3312)

Evaluating ... ...

Ω_E = 7.29625632931096E-05

STEP 3: Convert Result to Output's Unit

7.29625632931096E-05 Radian per Second --> No Conversion Required

FINAL ANSWER

7.29625632931096E-05 ≈ 7.3E-5 Radian per Second <-- Angular Speed of the Earth

(Calculation completed in 00.004 seconds)

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< Dynamics of Ocean Currents Calculators

Pressure Gradient Normal to Current

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

Latitude given Coriolis Acceleration

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

Current Velocity given Coriolis Acceleration

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

Coriolis Acceleration

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

Angular Velocity given Pressure Gradient Normal to Current Formula

LaTeX Go

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

What is Ocean dynamics?

Ocean dynamics define and describe the motion of water within the oceans. Ocean temperature and motion fields can be separated into three distinct layers: mixed (surface) layer, upper ocean (above the thermocline), and deep ocean. Ocean dynamics has traditionally been investigated by sampling from instruments in situ.

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

Angular Velocity given Pressure Gradient Normal to Current calculator uses Angular Speed of the Earth = ((1/Water Density)*(Pressure Gradient))/(2*sin(Latitude of a Position on Earth Surface)*Current Velocity) to calculate 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 calculate Angular Velocity given Pressure Gradient Normal to Current using this online calculator? To use this online calculator 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. Here is how the Angular Velocity given Pressure Gradient Normal to Current calculation can be explained with given input values -> 0.000195 = ((1/1000)*(4000))/(2*sin(0.3490658503988)*80145.3312).

FAQ

What is Angular Velocity given Pressure Gradient Normal to Current?

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 and is represented as Ω_E = ((1/ρ_water)*(δp_/δn))/(2*sin(L)*V) or Angular Speed of the Earth = ((1/Water Density)*(Pressure Gradient))/(2*sin(Latitude of a Position on Earth Surface)*Current Velocity). Water Density is mass per unit of water, Pressure Gradient describes in which direction and at what rate the pressure increases most rapidly around a particular location, The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator & Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.

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

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 is calculated using Angular Speed of the Earth = ((1/Water Density)*(Pressure Gradient))/(2*sin(Latitude of a Position on Earth Surface)*Current Velocity). To calculate Angular Velocity given Pressure Gradient Normal to Current, you need Water Density (ρ_water), Pressure Gradient (δp_/δn), Latitude of a Position on Earth Surface (L) & Current Velocity (V). With our tool, you need to enter the respective value for Water Density, Pressure Gradient, Latitude of a Position on Earth Surface & Current Velocity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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