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Angular Velocity of Earth for Velocity at Surface Formula

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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. Check FAQs

Ω E = \frac{{(π \cdot \frac{τ}{V s})}^{2}}{2 \cdot D F \cdot ρ water \cdot \sin (L)}

Ω_E - Angular Speed of the Earth?τ - Shear Stress at the Water Surface?V_s - Velocity at the Surface?D_F - Depth of Frictional Influence?ρ_water - Water Density?L - Latitude of the Line?π - Archimedes' constant?

Angular Velocity of Earth for Velocity at Surface Example

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Here is how the Angular Velocity of Earth for Velocity at Surface equation looks like with Values.

Here is how the Angular Velocity of Earth for Velocity at Surface equation looks like with Units.

Here is how the Angular Velocity of Earth for Velocity at Surface equation looks like.

7.3E-5 = \frac{{(3.1416 \cdot \frac{0.6}{0.5})}^{2}}{2 \cdot 120 \cdot 1000 \cdot \sin (0.94)}

7.3E-5rad/s = \frac{{(3.1416 \cdot \frac{0.6N/m²}{0.5m/s})}^{2}}{2 \cdot 120m \cdot 1000kg/m³ \cdot \sin (0.94m)}

7.3E-5 = \frac{{(3.1416 \cdot \frac{0.6}{0.5})}^{2}}{2 \cdot 120 \cdot 1000 \cdot \sin (0.94)}

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Angular Velocity of Earth for Velocity at Surface Solution

Follow our step by step solution on how to calculate Angular Velocity of Earth for Velocity at Surface?

FIRST Step Consider the formula

Ω E = \frac{{(π \cdot \frac{τ}{V s})}^{2}}{2 \cdot D F \cdot ρ water \cdot \sin (L)}

Next Step Substitute values of Variables

∴

Ω E = \frac{{(π \cdot \frac{0.6N/m²}{0.5m/s})}^{2}}{2 \cdot 120m \cdot 1000kg/m³ \cdot \sin (0.94m)}

Next Step Substitute values of Constants

∴

Ω E = \frac{{(3.1416 \cdot \frac{0.6N/m²}{0.5m/s})}^{2}}{2 \cdot 120m \cdot 1000kg/m³ \cdot \sin (0.94m)}

Next Step Convert Units

∴

Ω E = \frac{{(3.1416 \cdot \frac{0.6Pa}{0.5m/s})}^{2}}{2 \cdot 120m \cdot 1000kg/m³ \cdot \sin (0.94m)}

Next Step Prepare to Evaluate

∴

Ω E = \frac{{(3.1416 \cdot \frac{0.6}{0.5})}^{2}}{2 \cdot 120 \cdot 1000 \cdot \sin (0.94)}

Next Step Evaluate

∴

Ω E = 7.3329245755605E-05rad/s

LAST Step Rounding Answer

∴

Ω E = 7.3E-5rad/s

Angular Velocity of Earth for Velocity at Surface Formula Elements

Variables

Constants

Functions

Angular Speed of the Earth

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.

Symbol: Ω_E

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed of the Earth

Shear Stress at the Water Surface

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.

Symbol: τ

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Shear Stress at the Water Surface

Velocity at the 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.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity at the Surface

Depth of Frictional Influence

Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.

Symbol: D_F

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Frictional Influence

Water Density

Water Density is mass per unit volume of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Latitude of the Line

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.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Latitude of the Line

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

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 in Mooring Forces category

Go Drag Force due to Wind

F D = 0.5 \cdot ρ air \cdot C D' \cdot A \cdot {V 10}^{2}

Go Mass Density of Air given Drag Force due to Wind

ρ air = \frac{F D}{0.5 \cdot C D' \cdot A \cdot {V 10}^{2}}

Go Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

C D' = \frac{F D}{0.5 \cdot ρ air \cdot A \cdot {V 10}^{2}}

Go Projected Area of Vessel above Waterline given Drag Force due to Wind

A = \frac{F D}{0.5 \cdot ρ air \cdot C D' \cdot {V 10}^{2}}

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

Angular Velocity of Earth for Velocity at Surface evaluator 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 evaluate 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 evaluate Angular Velocity of Earth for Velocity at Surface using this online evaluator? To use this online evaluator 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.

FAQs on Angular Velocity of Earth for Velocity at Surface

What is the formula to find Angular Velocity of Earth for Velocity at Surface?

The formula of Angular Velocity of Earth for Velocity at Surface is expressed as 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)). Here is an example- 7.3E-5 = (pi*0.6/0.5)^2/(2*120*1000*sin(0.94)).

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

With 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) we can find Angular Velocity of Earth for Velocity at Surface using the formula - 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)). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Angular Velocity of Earth for Velocity at Surface be negative?

No, the Angular Velocity of Earth for Velocity at Surface, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Velocity of Earth for Velocity at Surface?

Angular Velocity of Earth for Velocity at Surface is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Velocity of Earth for Velocity at Surface can be measured.

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Angular Velocity of Earth for Velocity at Surface Formula

Angular Velocity of Earth for Velocity at Surface Example

Angular Velocity of Earth for Velocity at Surface Solution

Angular Velocity of Earth for Velocity at Surface Formula Elements

Other formulas in Mooring Forces category

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

FAQs on Angular Velocity of Earth for Velocity at Surface

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