Coriolis Acceleration Calculator

✖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 [V]			+10% -10%

✖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.ⓘ Coriolis Acceleration [a_C]

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Formula

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Coriolis Acceleration

Formula

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

Example

`"3.99773"=2*"7.2921159E^-05rad/s"*sin("20°")*"49.8mi/s"`

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Coriolis Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity
a_C = 2*Ω_E*sin(L)*V
This formula uses 1 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)

Variables Used

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.
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

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)
Current Velocity: 49.8 Mile per Second --> 80145.3312 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_C = 2*Ω_E*sin(L)*V --> 2*7.2921159E-05*sin(0.3490658503988)*80145.3312

Evaluating ... ...

a_C = 3.99773010753785

STEP 3: Convert Result to Output's Unit

3.99773010753785 --> No Conversion Required

FINAL ANSWER

3.99773010753785 ≈ 3.99773 <-- Horizontal Component of Coriolis Acceleration

(Calculation completed in 00.004 seconds)

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Coorg Institute of Technology (CIT), Coorg

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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

Coriolis Acceleration Formula

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

Coriolis Acceleration calculator uses Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity to calculate the Horizontal Component of Coriolis Acceleration, The Coriolis Acceleration is defined as acceleration due to rotation of earth, experienced by particles (water parcels, for example) moving along earth's surface. Ocean currents are influenced by Coriolis acceleration. Horizontal Component of Coriolis Acceleration is denoted by a_C symbol.

How to calculate Coriolis Acceleration using this online calculator? To use this online calculator for Coriolis Acceleration, enter Angular Speed of the Earth (Ω_E), Latitude of a Position on Earth Surface (L) & Current Velocity (V) and hit the calculate button. Here is how the Coriolis Acceleration calculation can be explained with given input values -> 1.498747 = 2*7.2921159E-05*sin(0.3490658503988)*80145.3312.

FAQ

What is Coriolis Acceleration?

The Coriolis Acceleration is defined as acceleration due to rotation of earth, experienced by particles (water parcels, for example) moving along earth's surface. Ocean currents are influenced by Coriolis acceleration and is represented as a_C = 2*Ω_E*sin(L)*V or Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity. 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 & Current Velocity is the speed and direction of water flow in a river, ocean, or other bodies of water.

How to calculate Coriolis Acceleration?

The Coriolis Acceleration is defined as acceleration due to rotation of earth, experienced by particles (water parcels, for example) moving along earth's surface. Ocean currents are influenced by Coriolis acceleration is calculated using Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity. To calculate Coriolis Acceleration, you need Angular Speed of the Earth (Ω_E), Latitude of a Position on Earth Surface (L) & Current Velocity (V). With our tool, you need to enter the respective value for Angular Speed of the Earth, 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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