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Velocity at Surface given Shear Stress at Water Surface Formula

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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. Check FAQs

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

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

Velocity at Surface given Shear Stress at Water Surface Example

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Here is how the Velocity at Surface given Shear Stress at Water Surface equation looks like with Values.

Here is how the Velocity at Surface given Shear Stress at Water Surface equation looks like with Units.

Here is how the Velocity at Surface given Shear Stress at Water Surface equation looks like.

0.1334 = 3.1416 \cdot \frac{0.6}{2 \cdot 120 \cdot 1000 \cdot 7.3E-5 \cdot \sin (0.94)}

0.1334m/s = 3.1416 \cdot \frac{0.6N/m²}{2 \cdot 120m \cdot 1000kg/m³ \cdot 7.3E-5rad/s \cdot \sin (0.94m)}

0.1334 = 3.1416 \cdot \frac{0.6}{2 \cdot 120 \cdot 1000 \cdot 7.3E-5 \cdot \sin (0.94)}

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Velocity at Surface given Shear Stress at Water Surface Solution

Follow our step by step solution on how to calculate Velocity at Surface given Shear Stress at Water Surface?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V s = 0.133371348079334m/s

LAST Step Rounding Answer

∴

V s = 0.1334m/s

Velocity at Surface given Shear Stress at Water Surface Formula Elements

Variables

Constants

Functions

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

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

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

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

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 Velocity at Surface given Shear Stress at Water Surface?

Velocity at Surface given Shear Stress at Water Surface evaluator uses Velocity at the Surface = pi*Shear Stress at the Water Surface/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line)) to evaluate the Velocity at the Surface, The Velocity at Surface given Shear Stress at Water Surface formula is defined as the determination of the velocity of water at the surface of a body of water based on the shear stress applied to the water surface. Shear stress at the water surface is typically generated by wind or other forces acting tangentially to the surface. It is speed parameter at the surface influencing the current profile. Velocity at the Surface is denoted by V_s symbol.

How to evaluate Velocity at Surface given Shear Stress at Water Surface using this online evaluator? To use this online evaluator for Velocity at Surface given Shear Stress at Water Surface, enter Shear Stress at the Water Surface (τ), Depth of Frictional Influence (D_F), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of the Line (L) and hit the calculate button.

FAQs on Velocity at Surface given Shear Stress at Water Surface

What is the formula to find Velocity at Surface given Shear Stress at Water Surface?

The formula of Velocity at Surface given Shear Stress at Water Surface is expressed as Velocity at the Surface = pi*Shear Stress at the Water Surface/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line)). Here is an example- 0.133371 = pi*0.6/(2*120*1000*7.2921159E-05*sin(0.94)).

How to calculate Velocity at Surface given Shear Stress at Water Surface?

With Shear Stress at the Water Surface (τ), Depth of Frictional Influence (D_F), Water Density (ρ_water), Angular Speed of the Earth (Ω_E) & Latitude of the Line (L) we can find Velocity at Surface given Shear Stress at Water Surface using the formula - Velocity at the Surface = pi*Shear Stress at the Water Surface/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the Line)). This formula also uses Archimedes' constant and Sine (sin) function(s).

Can the Velocity at Surface given Shear Stress at Water Surface be negative?

Yes, the Velocity at Surface given Shear Stress at Water Surface, measured in Speed can be negative.

Which unit is used to measure Velocity at Surface given Shear Stress at Water Surface?

Velocity at Surface given Shear Stress at Water Surface is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Velocity at Surface given Shear Stress at Water Surface can be measured.

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Velocity at Surface given Shear Stress at Water Surface Formula

Velocity at Surface given Shear Stress at Water Surface Example

Velocity at Surface given Shear Stress at Water Surface Solution

Velocity at Surface given Shear Stress at Water Surface Formula Elements

Other formulas in Mooring Forces category

How to Evaluate Velocity at Surface given Shear Stress at Water Surface?

FAQs on Velocity at Surface given Shear Stress at Water Surface

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