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Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Formula

GoVelocity at Surface given Velocity Component along Horizontal x Axis Formula

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Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium. Check FAQs

V s = \frac{v}{e^{π \cdot \frac{z}{D F}}}

V_s - Velocity at the Surface?v - Current Profile Velocity?z - Vertical Coordinate?D_F - Depth of Frictional Influence?π - Archimedes' constant?

Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Example

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Here is how the Velocity at Surface given Velocity detail of Current Profile in Three Dimensions equation looks like with Values.

Here is how the Velocity at Surface given Velocity detail of Current Profile in Three Dimensions equation looks like with Units.

Here is how the Velocity at Surface given Velocity detail of Current Profile in Three Dimensions equation looks like.

0.9099 = \frac{60}{e^{3.1416 \cdot \frac{160}{120}}}

0.9099m/s = \frac{60m/s}{e^{3.1416 \cdot \frac{160}{120m}}}

0.9099 = \frac{60}{e^{3.1416 \cdot \frac{160}{120}}}

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Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Solution

Follow our step by step solution on how to calculate Velocity at Surface given Velocity detail of Current Profile in Three Dimensions?

FIRST Step Consider the formula

V s = \frac{v}{e^{π \cdot \frac{z}{D F}}}

Next Step Substitute values of Variables

∴

V s = \frac{60m/s}{e^{π \cdot \frac{160}{120m}}}

Next Step Substitute values of Constants

∴

V s = \frac{60m/s}{e^{3.1416 \cdot \frac{160}{120m}}}

Next Step Prepare to Evaluate

∴

V s = \frac{60}{e^{3.1416 \cdot \frac{160}{120}}}

Next Step Evaluate

∴

V s = 0.909877191872795m/s

LAST Step Rounding Answer

∴

V s = 0.9099m/s

Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Formula Elements

Variables

Constants

Velocity at the Surface

Velocity at the Surface is the speed of an object or fluid at the immediate boundary with another medium.

Symbol: V_s

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity at the Surface

Current Profile Velocity

Current Profile Velocity is the rate of change of position with respect to time for a specific user or entity.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Current Profile Velocity

Vertical Coordinate

Vertical Coordinate measure aligned with the Earth's gravitational force, indicating height or depth in a perpendicular direction.

Symbol: z

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Vertical Coordinate

Depth of Frictional Influence

Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.

Symbol: D_F

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Depth of Frictional Influence

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

Other Formulas to find Velocity at the Surface

Go Velocity at Surface given Velocity Component along Horizontal x Axis

V s = \frac{u x}{e^{π \cdot \frac{z}{D F}} \cdot \cos (45 + (π \cdot \frac{z}{D F}))}

Other formulas in Eckman Wind Drift category

Go Velocity Component along Horizontal x Axis

u x = V s \cdot e^{π \cdot \frac{z}{D F}} \cdot \cos (45 + (π \cdot \frac{z}{D F}))

Go Depth of Frictional Influence by Eckman

D Eddy = π \cdot \sqrt{\frac{ε v}{ρ water \cdot Ω E \cdot \sin (L)}}

Go Vertical Eddy Viscosity Coefficient given Depth of Frictional Influence by Eckman

ε v = \frac{{D Eddy}^{2} \cdot ρ water \cdot Ω E \cdot \sin (L)}{π^{2}}

Go Latitude given Depth of Frictional Influence by Eckman

L = a \sin (\frac{ε v}{ρ water \cdot Ω E \cdot {(\frac{D Eddy}{π})}^{2}})

How to Evaluate Velocity at Surface given Velocity detail of Current Profile in Three Dimensions?

Velocity at Surface given Velocity detail of Current Profile in Three Dimensions evaluator uses Velocity at the Surface = Current Profile Velocity/(e^(pi*Vertical Coordinate/Depth of Frictional Influence)) to evaluate the Velocity at the Surface, The Velocity at Surface given Velocity detail of Current Profile in Three Dimensions is defined as speed parameter at surface influencing current profile. Velocity at the Surface is denoted by V_s symbol.

How to evaluate Velocity at Surface given Velocity detail of Current Profile in Three Dimensions using this online evaluator? To use this online evaluator for Velocity at Surface given Velocity detail of Current Profile in Three Dimensions, enter Current Profile Velocity (v), Vertical Coordinate (z) & Depth of Frictional Influence (D_F) and hit the calculate button.

FAQs on Velocity at Surface given Velocity detail of Current Profile in Three Dimensions

What is the formula to find Velocity at Surface given Velocity detail of Current Profile in Three Dimensions?

The formula of Velocity at Surface given Velocity detail of Current Profile in Three Dimensions is expressed as Velocity at the Surface = Current Profile Velocity/(e^(pi*Vertical Coordinate/Depth of Frictional Influence)). Here is an example- 0.909877 = 60/(e^(pi*160/120)).

How to calculate Velocity at Surface given Velocity detail of Current Profile in Three Dimensions?

With Current Profile Velocity (v), Vertical Coordinate (z) & Depth of Frictional Influence (D_F) we can find Velocity at Surface given Velocity detail of Current Profile in Three Dimensions using the formula - Velocity at the Surface = Current Profile Velocity/(e^(pi*Vertical Coordinate/Depth of Frictional Influence)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Velocity at the Surface?

Here are the different ways to Calculate Velocity at the Surface-

Velocity at the Surface=Velocity Component along a Horizontal x Axis/(e^(pi*Vertical Coordinate/Depth of Frictional Influence)*cos(45+(pi*Vertical Coordinate/Depth of Frictional Influence)))

Can the Velocity at Surface given Velocity detail of Current Profile in Three Dimensions be negative?

Yes, the Velocity at Surface given Velocity detail of Current Profile in Three Dimensions, measured in Speed can be negative.

Which unit is used to measure Velocity at Surface given Velocity detail of Current Profile in Three Dimensions?

Velocity at Surface given Velocity detail of Current Profile in Three Dimensions 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 Velocity detail of Current Profile in Three Dimensions can be measured.

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Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Formula

​GoVelocity at Surface given Velocity Component along Horizontal x Axis Formula

Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Example

Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Solution

Velocity at Surface given Velocity detail of Current Profile in Three Dimensions Formula Elements

Other Formulas to find Velocity at the Surface

Other formulas in Eckman Wind Drift category

How to Evaluate Velocity at Surface given Velocity detail of Current Profile in Three Dimensions?

FAQs on Velocity at Surface given Velocity detail of Current Profile in Three Dimensions

Variable Name

GoVelocity at Surface given Velocity Component along Horizontal x Axis Formula