Latitude given Coriolis Acceleration Calculator

✖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.ⓘ Horizontal Component of Coriolis Acceleration [a_C]			+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%
✖Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.ⓘ Current Velocity [V]			+10% -10%

✖The Latitude of a Position on Earth Surface is the measurement of distance north or south of the Equator.ⓘ Latitude given Coriolis Acceleration [L]

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Latitude given Coriolis Acceleration

Formula

`"L" = asin("a"_{"C"}/(2*"Ω"_{"E"}*"V"))`

Example

`"20.01184°"=asin("4"/(2*"7.2921159E^-05rad/s"*"49.8mi/s"))`

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Latitude given Coriolis Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity))
L = asin(a_C/(2*Ω_E*V))
This formula uses 2 Functions, 4 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
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.
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.
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

Horizontal Component of Coriolis Acceleration: 4 --> No Conversion Required
Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second No Conversion Required
Current Velocity: 49.8 Mile per Second --> 80145.3312 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = asin(a_C/(2*Ω_E*V)) --> asin(4/(2*7.2921159E-05*80145.3312))

Evaluating ... ...

L = 0.349272518770321

STEP 3: Convert Result to Output's Unit

0.349272518770321 Radian -->20.011841225447 Degree (Check conversion here)

FINAL ANSWER

20.011841225447 ≈ 20.01184 Degree <-- Latitude of a Position on Earth Surface

(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

Latitude given Coriolis Acceleration Formula

Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity))
L = asin(a_C/(2*Ω_E*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 Latitude given Coriolis Acceleration?

Latitude given Coriolis Acceleration calculator uses Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity)) to calculate the Latitude of a Position on Earth Surface, The Latitude given Coriolis Acceleration is defined as geographic coordinate that specifies north–south position of point on Earth's surface. Latitude of a Position on Earth Surface is denoted by L symbol.

How to calculate Latitude given Coriolis Acceleration using this online calculator? To use this online calculator for Latitude given Coriolis Acceleration, enter Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Current Velocity (V) and hit the calculate button. Here is how the Latitude given Coriolis Acceleration calculation can be explained with given input values -> 3775.646 = asin(4/(2*7.2921159E-05*80145.3312)).

FAQ

What is Latitude given Coriolis Acceleration?

The Latitude given Coriolis Acceleration is defined as geographic coordinate that specifies north–south position of point on Earth's surface and is represented as L = asin(a_C/(2*Ω_E*V)) or Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity)). 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, Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time & Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.

How to calculate Latitude given Coriolis Acceleration?

The Latitude given Coriolis Acceleration is defined as geographic coordinate that specifies north–south position of point on Earth's surface is calculated using Latitude of a Position on Earth Surface = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Current Velocity)). To calculate Latitude given Coriolis Acceleration, you need Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Current Velocity (V). With our tool, you need to enter the respective value for Horizontal Component of Coriolis Acceleration, Angular Speed of the Earth & Current Velocity 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 Latitude of a Position on Earth Surface?

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

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

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