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Angular Velocity of Earth for Velocity at Surface Calculator

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✖Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface.ⓘ Shear Stress at the Water Surface [τ]			+10% -10%
✖Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc.ⓘ Velocity at the Surface [V_s]			+10% -10%
✖Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.ⓘ Depth of Frictional Influence [D_F]			+10% -10%
✖Water Density is mass per unit volume of water.ⓘ Water Density [ρ_water]			+10% -10%
✖Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.ⓘ Latitude of the Line [L]			+10% -10%

✖Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time.ⓘ Angular Velocity of Earth for Velocity at Surface [Ω_E]

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Angular Velocity of Earth for Velocity at Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*sin(Latitude of the Line))
Ω_E = (pi*τ/V_s)^2/(2*D_F*ρ_water*sin(L))
This formula uses 1 Constants, 1 Functions, 6 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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)

Variables Used

Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the rate at which the Earth rotates around its own axis. It is the angle through which the Earth rotates in a unit of time.
Shear Stress at the Water Surface - (Measured in Pascal) - Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface.
Velocity at the Surface - (Measured in Meter per Second) - Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc.
Depth of Frictional Influence - (Measured in Meter) - Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit volume of water.
Latitude of the Line - (Measured in Meter) - Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.

STEP 1: Convert Input(s) to Base Unit

Shear Stress at the Water Surface: 0.6 Newton per Square Meter --> 0.6 Pascal (Check conversion here)
Velocity at the Surface: 0.5 Meter per Second --> 0.5 Meter per Second No Conversion Required
Depth of Frictional Influence: 120 Meter --> 120 Meter No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Latitude of the Line: 0.94 Meter --> 0.94 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Ω_E = (pi*τ/V_s)^2/(2*D_F*ρ_water*sin(L)) --> (pi*0.6/0.5)^2/(2*120*1000*sin(0.94))

Evaluating ... ...

Ω_E = 7.3329245755605E-05

STEP 3: Convert Result to Output's Unit

7.3329245755605E-05 Radian per Second --> No Conversion Required

FINAL ANSWER

7.3329245755605E-05 ≈ 7.3E-5 Radian per Second <-- Angular Speed of the Earth

(Calculation completed in 00.004 seconds)

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Angular Velocity of Earth for Velocity at Surface Formula

LaTeX Go

What is Ocean Dynamics?

The Ocean Dynamics define and describe the motion of water within the oceans. Ocean temperature and motion fields can be separated into three distinct layers: mixed (surface) layer, upper ocean (above the thermocline), and deep ocean. Ocean dynamics has traditionally been investigated by sampling from instruments in situ.

How to Calculate Angular Velocity of Earth for Velocity at Surface?

Angular Velocity of Earth for Velocity at Surface calculator uses Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*sin(Latitude of the Line)) to calculate the Angular Speed of the Earth, The Angular Velocity of Earth for Velocity at Surface formula is defined as the rotational speed of the Earth at its surface, the angular velocity of the Earth affects various aspects of coastal and ocean engineering by influencing the Coriolis effect, geostrophic currents, tidal dynamics, and other oceanographic phenomena. Angular Speed of the Earth is denoted by Ω_E symbol.

How to calculate Angular Velocity of Earth for Velocity at Surface using this online calculator? To use this online calculator for Angular Velocity of Earth for Velocity at Surface, enter Shear Stress at the Water Surface (τ), Velocity at the Surface (V_s), Depth of Frictional Influence (D_F), Water Density (ρ_water) & Latitude of the Line (L) and hit the calculate button. Here is how the Angular Velocity of Earth for Velocity at Surface calculation can be explained with given input values -> 7.3E-5 = (pi*0.6/0.5)^2/(2*120*1000*sin(0.94)).

FAQ

What is Angular Velocity of Earth for Velocity at Surface?

The Angular Velocity of Earth for Velocity at Surface formula is defined as the rotational speed of the Earth at its surface, the angular velocity of the Earth affects various aspects of coastal and ocean engineering by influencing the Coriolis effect, geostrophic currents, tidal dynamics, and other oceanographic phenomena and is represented as Ω_E = (pi*τ/V_s)^2/(2*D_F*ρ_water*sin(L)) or Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*sin(Latitude of the Line)). Shear Stress at the Water Surface referred to as the “tractive force” is a measure of the internal resistance of a fluid to deformation when subjected to a force acting parallel to its surface, Velocity at the Surface is the speed and direction of water flow at the very top layer of the ocean or coastal water body. This velocity is influenced by various factors, including wind, waves etc, Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water, Water Density is mass per unit volume of water & Latitude of the Line is the point at which a specific line or structure is located, this term often pertains to the position of coastal features relative to the Earth's equatorial plane.

How to calculate Angular Velocity of Earth for Velocity at Surface?

The Angular Velocity of Earth for Velocity at Surface formula is defined as the rotational speed of the Earth at its surface, the angular velocity of the Earth affects various aspects of coastal and ocean engineering by influencing the Coriolis effect, geostrophic currents, tidal dynamics, and other oceanographic phenomena is calculated using Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*sin(Latitude of the Line)). To calculate Angular Velocity of Earth for Velocity at Surface, you need Shear Stress at the Water Surface (τ), Velocity at the Surface (V_s), Depth of Frictional Influence (D_F), Water Density (ρ_water) & Latitude of the Line (L). With our tool, you need to enter the respective value for Shear Stress at the Water Surface, Velocity at the Surface, Depth of Frictional Influence, Water Density & Latitude of the Line and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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