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Coriolis Acceleration Formula

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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. Check FAQs

a C = 2 \cdot Ω E \cdot \sin (L) \cdot V

a_C - Horizontal Component of Coriolis Acceleration?Ω_E - Angular Speed of the Earth?L - Latitude of a Position on Earth Surface?V - Current Velocity?

Coriolis Acceleration Example

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Here is how the Coriolis Acceleration equation looks like with Values.

Here is how the Coriolis Acceleration equation looks like with Units.

Here is how the Coriolis Acceleration equation looks like.

3.9977 = 2 \cdot 7.3E-5 \cdot \sin (20) \cdot 49.8

3.9977 = 2 \cdot 7.3E-5rad/s \cdot \sin (20°) \cdot 49.8mi/s

3.9977 = 2 \cdot 7.3E-5 \cdot \sin (20) \cdot 49.8

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Coriolis Acceleration Solution

Follow our step by step solution on how to calculate Coriolis Acceleration?

FIRST Step Consider the formula

a C = 2 \cdot Ω E \cdot \sin (L) \cdot V

Next Step Substitute values of Variables

∴

a C = 2 \cdot 7.3E-5rad/s \cdot \sin (20°) \cdot 49.8mi/s

Next Step Convert Units

∴

a C = 2 \cdot 7.3E-5rad/s \cdot \sin (0.3491rad) \cdot 80145.3312m/s

Next Step Prepare to Evaluate

∴

a C = 2 \cdot 7.3E-5 \cdot \sin (0.3491) \cdot 80145.3312

Next Step Evaluate

∴

a C = 3.99773010753785

LAST Step Rounding Answer

∴

a C = 3.9977

Coriolis Acceleration Formula Elements

Variables

Functions

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.

Symbol: a_C

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Horizontal Component of Coriolis Acceleration

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

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 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}}

Go Current Velocity given Pressure Gradient Normal to Current

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

How to Evaluate Coriolis Acceleration?

Coriolis Acceleration evaluator uses Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity to evaluate 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 evaluate Coriolis Acceleration using this online evaluator? To use this online evaluator 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.

FAQs on Coriolis Acceleration

What is the formula to find Coriolis Acceleration?

The formula of Coriolis Acceleration is expressed as Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity. Here is an example- 1.498747 = 2*7.2921159E-05*sin(0.3490658503988)*80145.3312.

How to calculate Coriolis Acceleration?

With Angular Speed of the Earth (Ω_E), Latitude of a Position on Earth Surface (L) & Current Velocity (V) we can find Coriolis Acceleration using the formula - Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Latitude of a Position on Earth Surface)*Current Velocity. This formula also uses Sine (sin) function(s).

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Coriolis Acceleration Formula

Coriolis Acceleration Example

Coriolis Acceleration Solution

Coriolis Acceleration Formula Elements

Other formulas in Dynamics of Ocean Currents category

How to Evaluate Coriolis Acceleration?

FAQs on Coriolis Acceleration

Variable Name