Latitude given Magnitude of Horizontal Component of 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%
✖Horizontal Speed across the Earth’s Surface is defined as the velocity of a motion problem deals with motion in the x direction.ⓘ Horizontal Speed across the Earth’s Surface [U]			+10% -10%

✖Earth Station latitude is the coordinates of earth-station.ⓘ Latitude given Magnitude of Horizontal Component of Coriolis Acceleration [λ_e]

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Latitude given Magnitude of Horizontal Component of Coriolis Acceleration Solution

STEP 0: Pre-Calculation Summary

Formula Used

Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface))
λ_e = asin(a_C/(2*Ω_E*U))
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

Earth Station Latitude - (Measured in Radian) - Earth Station latitude is the coordinates of earth-station.
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.
Horizontal Speed across the Earth’s Surface - (Measured in Meter per Second) - Horizontal Speed across the Earth’s Surface is defined as the velocity of a motion problem deals with motion in the x direction.

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
Horizontal Speed across the Earth’s Surface: 24.85 Mile per Second --> 39992.1984 Meter per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

λ_e = asin(a_C/(2*Ω_E*U)) --> asin(4/(2*7.2921159E-05*39992.1984))

Evaluating ... ...

λ_e = 0.755710320051207

STEP 3: Convert Result to Output's Unit

0.755710320051207 Radian -->43.299011873423 Degree (Check conversion here)

FINAL ANSWER

43.299011873423 ≈ 43.29901 Degree <-- Earth Station Latitude

(Calculation completed in 00.020 seconds)

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Latitude given Magnitude of Horizontal Component of Coriolis Acceleration Formula

LaTeX Go

Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface))
λ_e = asin(a_C/(2*Ω_E*U))

What is Wind Stress?

In Physical Oceanography and Fluid Dynamics, the wind stress is the shear stress exerted by the wind on the surface of large bodies of water – such as oceans, seas, estuaries and lakes. It is the force component parallel to the surface, per unit area, as applied by the wind on the water surface.

What does Coriolis mean?

Coriolis is an apparent force that as a result of the earth's rotation deflects moving objects (such as projectiles or air currents) to the right in the northern hemisphere and to the left in the southern hemisphere.

How to Calculate Latitude given Magnitude of Horizontal Component of Coriolis Acceleration?

Latitude given Magnitude of Horizontal Component of Coriolis Acceleration calculator uses Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface)) to calculate the Earth Station Latitude, The Latitude given Magnitude of Horizontal Component of Coriolis Acceleration formula is defined as angular distance of place north or south of earth's equator. Earth Station Latitude is denoted by λ_e symbol.

How to calculate Latitude given Magnitude of Horizontal Component of Coriolis Acceleration using this online calculator? To use this online calculator for Latitude given Magnitude of Horizontal Component of Coriolis Acceleration, enter Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Horizontal Speed across the Earth’s Surface (U) and hit the calculate button. Here is how the Latitude given Magnitude of Horizontal Component of Coriolis Acceleration calculation can be explained with given input values -> 2480.851 = asin(4/(2*7.2921159E-05*39992.1984)).

FAQ

What is Latitude given Magnitude of Horizontal Component of Coriolis Acceleration?

The Latitude given Magnitude of Horizontal Component of Coriolis Acceleration formula is defined as angular distance of place north or south of earth's equator and is represented as λ_e = asin(a_C/(2*Ω_E*U)) or Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface)). 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 & Horizontal Speed across the Earth’s Surface is defined as the velocity of a motion problem deals with motion in the x direction.

How to calculate Latitude given Magnitude of Horizontal Component of Coriolis Acceleration?

The Latitude given Magnitude of Horizontal Component of Coriolis Acceleration formula is defined as angular distance of place north or south of earth's equator is calculated using Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface)). To calculate Latitude given Magnitude of Horizontal Component of Coriolis Acceleration, you need Horizontal Component of Coriolis Acceleration (a_C), Angular Speed of the Earth (Ω_E) & Horizontal Speed across the Earth’s Surface (U). With our tool, you need to enter the respective value for Horizontal Component of Coriolis Acceleration, Angular Speed of the Earth & Horizontal Speed across the Earth’s 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 Earth Station Latitude?

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

Earth Station Latitude = asin(Coriolis Frequency/(2*Angular Speed of the Earth))

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