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))
λe = asin(aC/(2*ΩE*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
λe = asin(aC/(2*ΩE*U)) --> asin(4/(2*7.2921159E-05*39992.1984))
Evaluating ... ...
λe = 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 00.004 seconds)

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Latitude given Magnitude of Horizontal Component of Coriolis Acceleration
Go Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface))
Horizontal Speed across Earth's Surface given Horizontal Component of Coriolis Acceleration
Go Horizontal Speed across the Earth’s Surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(Earth Station Latitude))
Magnitude of Horizontal Component of Coriolis Acceleration
Go Horizontal Component of Coriolis Acceleration = 2*Angular Speed of the Earth*sin(Earth Station Latitude)*Horizontal Speed across the Earth’s Surface
Wind Speed at Height 10 m given Wind Stress
Go Wind Speed at Height of 10 m = sqrt(Wind Stress/(Drag Coefficient*Density of Air))
Coriolis Frequency given Horizontal Component of Coriolis Acceleration
Go Coriolis Frequency = Horizontal Component of Coriolis Acceleration/Horizontal Speed across the Earth’s Surface
Horizontal Speed across Earth's Surface given Coriolis Frequency
Go Horizontal Speed across the Earth’s Surface = Horizontal Component of Coriolis Acceleration/Coriolis Frequency
Horizontal Component of Coriolis Acceleration
Go Horizontal Component of Coriolis Acceleration = Coriolis Frequency*Horizontal Speed across the Earth’s Surface
Latitude given Coriolis Frequency
Go Earth Station Latitude = asin(Coriolis Frequency/(2*Angular Speed of the Earth))
Angular Speed of Earth for given Coriolis Frequency
Go Angular Speed of the Earth = Coriolis Frequency/(2*sin(Earth Station Latitude))
Drag Coefficient given Wind Stress
Go Drag Coefficient = Wind Stress/(Density of Air*Wind Speed at Height of 10 m^2)
Coriolis Frequency
Go Coriolis Frequency = 2*Angular Speed of the Earth*sin(Earth Station Latitude)
Wind Stress
Go Wind Stress = Drag Coefficient*Density of Air*Wind Speed at Height of 10 m^2
Wind Speed at Height 10 m for Drag Coefficient
Go Wind Speed at Height of 10 m = (Drag Coefficient-0.00075)/0.000067
Drag Coefficient
Go Drag Coefficient = 0.00075+(0.000067*Wind Speed at Height of 10 m)

Latitude given Magnitude of Horizontal Component of Coriolis Acceleration Formula

Earth Station Latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface))
λe = asin(aC/(2*ΩE*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 λe 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 (aC), Angular Speed of the Earth 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 λe = asin(aC/(2*ΩE*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 (aC), Angular Speed of the Earth 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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