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Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(earth-station latitude))
U = aC/(2*ΩE*sin(λe))
This formula uses 1 Functions, 3 Variables
Functions Used
sin - Trigonometric sine function, sin(Angle)
Variables Used
Horizontal Component of Coriolis Acceleration- Horizontal Component of Coriolis Acceleration of magnitude
Angular Speed of the Earth - Angular Speed of the Earth's Rotation (Measured in Radian per Second)
earth-station latitude - earth-station latitude is the coordinates of earth-station (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Horizontal Component of Coriolis Acceleration: 100 --> No Conversion Required
Angular Speed of the Earth: 100 Radian per Second --> 100 Radian per Second No Conversion Required
earth-station latitude: 10 Degree --> 0.1745329251994 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
U = aC/(2*ΩE*sin(λe)) --> 100/(2*100*sin(0.1745329251994))
Evaluating ... ...
U = 2.87938524157236
STEP 3: Convert Result to Output's Unit
2.87938524157236 Meter per Second --> No Conversion Required
FINAL ANSWER
2.87938524157236 Meter per Second <-- Horizontal Speed across the Earth’s Surface
(Calculation completed in 00.031 seconds)

10 Other formulas that you can solve using the same Inputs

Latitude when Magnitude of the Horizontal Component of Coriolis Acceleration is Given
earth_station_latitude = asin(Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*Horizontal Speed across the Earth’s Surface)) Go
Magnitude of the Horizontal Component of Coriolis Acceleration
coriolis_acceleration = 2*Angular Speed of the Earth*sin(earth-station latitude)*Horizontal Speed across the Earth’s Surface Go
Coriolis Frequency when Horizontal Component of Coriolis Acceleration is Given
coriolis_frequency = Horizontal Component of Coriolis Acceleration/Horizontal Speed across the Earth’s Surface Go
Latitude when Coriolis Frequency is Given
earth_station_latitude = asin(Coriolis Frequency/2*Angular Speed of the Earth) Go
Coriolis Frequency
coriolis_frequency = 2*Angular Speed of the Earth*sin(earth-station latitude) Go
Angular Speed of Earth when Coriolis Frequency is Given
angular_speed_of_earth = Coriolis Frequency/2*sin(earth-station latitude) Go
Angle Of Elevation
angle_of_elevation = Right angle-Angle of tilt-earth-station latitude Go
Angle Of Tilt
angle_of_tilt = Right angle-angle of elevation-earth-station latitude Go
Horizontal Speed Across Earth’s Surface when Coriolis Frequency is Given
speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/Coriolis Frequency Go
Horizontal Component of Coriolis Acceleration when Coriolis Frequency is Given
coriolis_acceleration = Coriolis Frequency*Angular Speed of the Earth Go

1 Other formulas that calculate the same Output

Horizontal Speed Across Earth’s Surface when Coriolis Frequency is Given
speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/Coriolis Frequency Go

Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given Formula

speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(earth-station latitude))
U = aC/(2*ΩE*sin(λe))

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.

How to Calculate Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given?

Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given calculator uses speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(earth-station latitude)) to calculate the Horizontal Speed across the Earth’s Surface, The Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given is defined as the velocity of a motion problem deals with motion in the x direction; that is, side to side, not up and down. Horizontal Speed across the Earth’s Surface and is denoted by U symbol.

How to calculate Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given using this online calculator? To use this online calculator for Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given, enter Horizontal Component of Coriolis Acceleration (aC), Angular Speed of the Earth E) and earth-station latitude (λe) and hit the calculate button. Here is how the Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given calculation can be explained with given input values -> 2.879385 = 100/(2*100*sin(0.1745329251994)).

FAQ

What is Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given?
The Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given is defined as the velocity of a motion problem deals with motion in the x direction; that is, side to side, not up and down and is represented as U = aC/(2*ΩE*sin(λe)) or speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(earth-station latitude)). Horizontal Component of Coriolis Acceleration of magnitude, Angular Speed of the Earth's Rotation and earth-station latitude is the coordinates of earth-station.
How to calculate Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given?
The Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given is defined as the velocity of a motion problem deals with motion in the x direction; that is, side to side, not up and down is calculated using speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/(2*Angular Speed of the Earth*sin(earth-station latitude)). To calculate Horizontal Speed Across Earth’s Surface when Horizontal Component of Coriolis Acceleration is Given, you need Horizontal Component of Coriolis Acceleration (aC), Angular Speed of the Earth E) and earth-station latitude (λe). With our tool, you need to enter the respective value for Horizontal Component of Coriolis Acceleration, Angular Speed of the Earth and earth-station latitude 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 Horizontal Speed across the Earth’s Surface?
In this formula, Horizontal Speed across the Earth’s Surface uses Horizontal Component of Coriolis Acceleration, Angular Speed of the Earth and earth-station latitude. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • speed_across_earths_surface = Horizontal Component of Coriolis Acceleration/Coriolis Frequency
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