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Depth given Velocity at Surface Formula

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

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

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

Depth given Velocity at Surface Example

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Here is how the Depth given Velocity at Surface equation looks like with Values.

Here is how the Depth given Velocity at Surface equation looks like with Units.

Here is how the Depth given Velocity at Surface equation looks like.

120.6716 = \frac{{(3.1416 \cdot \frac{0.6}{0.5})}^{2}}{2 \cdot 1000 \cdot 7.3E-5 \cdot \sin (0.94)}

120.6716m = \frac{{(3.1416 \cdot \frac{0.6N/m²}{0.5m/s})}^{2}}{2 \cdot 1000kg/m³ \cdot 7.3E-5rad/s \cdot \sin (0.94m)}

120.6716 = \frac{{(3.1416 \cdot \frac{0.6}{0.5})}^{2}}{2 \cdot 1000 \cdot 7.3E-5 \cdot \sin (0.94)}

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Depth given Velocity at Surface Solution

Follow our step by step solution on how to calculate Depth given Velocity at Surface?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

D F = 120.671552829716m

LAST Step Rounding Answer

∴

D F = 120.6716m

Depth given Velocity at Surface Formula Elements

Variables

Constants

Functions

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

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

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 Depth given Velocity at Surface?

Depth given Velocity at Surface evaluator uses Depth of Frictional Influence = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Water Density*Angular Speed of the Earth*sin(Latitude of the Line)) to evaluate the Depth of Frictional Influence, The Depth given Velocity at Surface formula is defined as depth of frictional influence or depth over which turbulent eddy viscosity becomes important. DVS is essential in developing accurate hydrodynamic models, which are used to predict water movement, wave propagation, and sediment transport. Depth of Frictional Influence is denoted by D_F symbol.

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

FAQs on Depth given Velocity at Surface

What is the formula to find Depth given Velocity at Surface?

The formula of Depth given Velocity at Surface is expressed as Depth of Frictional Influence = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Water Density*Angular Speed of the Earth*sin(Latitude of the Line)). Here is an example- 120.6716 = (pi*0.6/0.5)^2/(2*1000*7.2921159E-05*sin(0.94)).

How to calculate Depth given Velocity at Surface?

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

Can the Depth given Velocity at Surface be negative?

No, the Depth given Velocity at Surface, measured in Length cannot be negative.

Which unit is used to measure Depth given Velocity at Surface?

Depth given Velocity at Surface is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Depth given Velocity at Surface can be measured.

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Depth given Velocity at Surface Formula

Depth given Velocity at Surface Example

Depth given Velocity at Surface Solution

Depth given Velocity at Surface Formula Elements

Other formulas in Mooring Forces category

How to Evaluate Depth given Velocity at Surface?

FAQs on Depth given Velocity at Surface

Variable Name