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Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Formula

GoHorizontal Speed across Earth's Surface given Coriolis Frequency Formula

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Horizontal Speed across the Earth’s Surface is defined as the velocity of a motion problem deals with motion in the x direction. Check FAQs

U = \frac{a C}{2 \cdot Ω E \cdot \sin (λ e)}

U - Horizontal Speed across the Earth’s Surface?a_C - Horizontal Component of Coriolis Acceleration?Ω_E - Angular Speed of the Earth?λ_e - Earth Station Latitude?

Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Example

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Here is how the Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration equation looks like with Values.

Here is how the Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration equation looks like with Units.

Here is how the Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration equation looks like.

24.8541 = \frac{4}{2 \cdot 7.3E-5 \cdot \sin (43.29)}

24.8541mi/s = \frac{4}{2 \cdot 7.3E-5rad/s \cdot \sin (43.29°)}

24.8541 = \frac{4}{2 \cdot 7.3E-5 \cdot \sin (43.29)}

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Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Solution

Follow our step by step solution on how to calculate Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration?

FIRST Step Consider the formula

U = \frac{a C}{2 \cdot Ω E \cdot \sin (λ e)}

Next Step Substitute values of Variables

∴

U = \frac{4}{2 \cdot 7.3E-5rad/s \cdot \sin (43.29°)}

Next Step Convert Units

∴

U = \frac{4}{2 \cdot 7.3E-5rad/s \cdot \sin (0.7556rad)}

Next Step Prepare to Evaluate

∴

U = \frac{4}{2 \cdot 7.3E-5 \cdot \sin (0.7556)}

Next Step Evaluate

∴

U = 39998.875288287m/s

Next Step Convert to Output's Unit

∴

U = 24.8541488260353mi/s

LAST Step Rounding Answer

∴

U = 24.8541mi/s

Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Formula Elements

Variables

Functions

Horizontal Speed across the Earth’s Surface

Horizontal Speed across the Earth’s Surface is defined as the velocity of a motion problem deals with motion in the x direction.

Symbol: U

Measurement: SpeedUnit: mi/s

Note: Value should be greater than 0.

Formulas to find Horizontal Speed across the Earth’s Surface

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

Earth Station Latitude

Earth Station latitude is the coordinates of earth-station.

Symbol: λ_e

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Earth Station Latitude

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 to find Horizontal Speed across the Earth’s Surface

Go Horizontal Speed across Earth's Surface given Coriolis Frequency

U = \frac{a C}{f}

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τ o = C D \cdot ρ \cdot {V 10}^{2}

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C D = \frac{τ o}{ρ \cdot {V 10}^{2}}

Go Wind Speed at Height 10 m given Wind Stress

V 10 = \sqrt{\frac{τ o}{C D \cdot ρ}}

Go Drag Coefficient

C D = 0.00075 + (0.000067 \cdot V 10)

How to Evaluate Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration?

Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration evaluator uses Horizontal Speed across the Earth’s Surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Earth Station Latitude)) to evaluate the Horizontal Speed across the Earth’s Surface, The Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration is defined as the velocity of a motion problem that deals with motion in the x direction; that is, side to side, not up and down. Horizontal Speed across the Earth’s Surface is denoted by U symbol.

How to evaluate Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration using this online evaluator? To use this online evaluator for Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration, enter Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Earth Station Latitude (λ_e) and hit the calculate button.

FAQs on Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration

What is the formula to find Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration?

The formula of Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration is expressed as Horizontal Speed across the Earth’s Surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Earth Station Latitude)). Here is an example- 0.015444 = 4/(2*7.2921159E-05*sin(0.755553033188203)).

How to calculate Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration?

With Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Earth Station Latitude (λ_e) we can find Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration using the formula - Horizontal Speed across the Earth’s Surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Earth Station Latitude)). This formula also uses Sine function(s).

What are the other ways to Calculate Horizontal Speed across the Earth’s Surface?

Here are the different ways to Calculate Horizontal Speed across the Earth’s Surface-

Horizontal Speed across the Earth’s Surface=Horizontal Component of Coriolis Acceleration/Coriolis Frequency

Can the Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration be negative?

No, the Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration, measured in Speed cannot be negative.

Which unit is used to measure Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration?

Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration is usually measured using the Mile per Second[mi/s] for Speed. Meter per Second[mi/s], Meter per Minute[mi/s], Meter per Hour[mi/s] are the few other units in which Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration can be measured.

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Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Formula

​GoHorizontal Speed across Earth's Surface given Coriolis Frequency Formula

Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Example

Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Solution

Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration Formula Elements

Other Formulas to find Horizontal Speed across the Earth’s Surface

Other formulas in Forces Driving Ocean Currents category

How to Evaluate Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration?

FAQs on Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration

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GoHorizontal Speed across Earth's Surface given Coriolis Frequency Formula