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

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Formula

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Current Velocity given Pressure Gradient Normal to Current

Formula

`"V" = ((1/"ρ"_{"water"})*("δp"_{"/δn"}))/(2*"Ω"_{"E"}*sin("L"))`

Example

`"49.82828mi/s"=((1/"1000kg/m³")*("4000"))/(2*"7.2921159E^-05rad/s"*sin("20°"))`

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Current Velocity given Pressure Gradient Normal to Current Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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.
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.

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
Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required
Latitude of a Position on Earth Surface: 20 Degree --> 0.3490658503988 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((1/ρ_water)*(δp_/δn))/(2*Ω_E*sin(L)) --> ((1/1000)*(4000))/(2*7.2921159E-05*sin(0.3490658503988))

Evaluating ... ...

V = 80190.8373443054

STEP 3: Convert Result to Output's Unit

80190.8373443054 Meter per Second -->49.8282762071412 Mile per Second (Check conversion here)

FINAL ANSWER

49.8282762071412 ≈ 49.82828 Mile per Second <-- Current Velocity

(Calculation completed in 00.004 seconds)

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< 7 Dynamics of Ocean Currents Calculators

Current Velocity given Pressure Gradient Normal to Current

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

Angular Velocity given Pressure Gradient Normal to Current

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

Latitude given Pressure Gradient Normal to Current

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

Pressure Gradient Normal to Current

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

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

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

Coriolis Acceleration

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

Current Velocity given Pressure Gradient Normal to Current Formula

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

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 Current Velocity given Pressure Gradient Normal to Current?

Current Velocity given Pressure Gradient Normal to Current calculator uses Current Velocity = ((1/Water Density)*(Pressure Gradient))/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)) to calculate 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 calculate Current Velocity given Pressure Gradient Normal to Current using this online calculator? To use this online calculator 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. Here is how the Current Velocity given Pressure Gradient Normal to Current calculation can be explained with given input values -> 0.030962 = ((1/1000)*(4000))/(2*7.2921159E-05*sin(0.3490658503988)).

FAQ

What is Current Velocity given Pressure Gradient Normal to Current?

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 and is represented as V = ((1/ρ_water)*(δp_/δn))/(2*Ω_E*sin(L)) or Current Velocity = ((1/Water Density)*(Pressure Gradient))/(2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)). 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, Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time & The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.

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

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

How many ways are there to calculate Current Velocity?

In this formula, Current Velocity uses Water Density, Pressure Gradient, Angular Speed of the Earth & Latitude of a Position on Earth Surface. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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