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Depth given 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%
✖Water Density is mass per unit volume of water.ⓘ Water Density [ρ_water]			+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 Speed of the Earth [Ω_E]			+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%

✖Depth of Frictional Influence is the vertical extent in a water column where frictional forces from the seabed affect the flow of water.ⓘ Depth given Velocity at Surface [D_F]

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Formula

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Depth given Velocity at Surface

Formula

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

Example

120.6716 m = \frac{{(π \cdot \frac{0.6 N/m²}{0.5 m/s})}^{2}}{2 \cdot 1000 kg/m³ \cdot 7.2921159E-05 rad/s \cdot \sin (0.94 m)}

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Depth given Velocity at Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
D_F = (pi*τ/V_s)^2/(2*ρ_water*Ω_E*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

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.
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.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit volume of water.
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.
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
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Angular Speed of the Earth: 7.2921159E-05 Radian per Second --> 7.2921159E-05 Radian per Second 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

D_F = (pi*τ/V_s)^2/(2*ρ_water*Ω_E*sin(L)) --> (pi*0.6/0.5)^2/(2*1000*7.2921159E-05*sin(0.94))

Evaluating ... ...

D_F = 120.671552829716

STEP 3: Convert Result to Output's Unit

120.671552829716 Meter --> No Conversion Required

FINAL ANSWER

120.671552829716 ≈ 120.6716 Meter <-- Depth of Frictional Influence

(Calculation completed in 00.004 seconds)

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Go Air Density = Drag Force/(0.5*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

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Depth given Velocity at Surface Formula

What is Ocean Dynamics?

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 Depth given Velocity at Surface?

Depth given Velocity at Surface calculator 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 calculate 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 calculate Depth given Velocity at Surface using this online calculator? To use this online calculator 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. Here is how the Depth given Velocity at Surface calculation can be explained with given input values -> 120.6716 = (pi*0.6/0.5)^2/(2*1000*7.2921159E-05*sin(0.94)).

FAQ

What is Depth given Velocity at Surface?

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 and is represented as D_F = (pi*τ/V_s)^2/(2*ρ_water*Ω_E*sin(L)) or 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)). 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, Water Density is mass per unit volume of water, 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 & 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 Depth given Velocity at Surface?

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 is calculated using 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 calculate Depth given Velocity at Surface, you need 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). With our tool, you need to enter the respective value for Shear Stress at the Water Surface, Velocity at the Surface, Water Density, Angular Speed of the Earth & 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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