Latitude given Velocity at Surface Calculator

✖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 of an object or fluid at the immediate boundary with another medium.ⓘ Velocity at the Surface [V_s]			+10% -10%
✖Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.ⓘ Depth of Frictional Influence [D]			+10% -10%
✖Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together.ⓘ Density of Water [ρ]			+10% -10%
✖Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.ⓘ Angular Speed of the Earth [Ω_E]			+10% -10%

✖Latitude of the line is the projection of the specific line in north-south direction.ⓘ Latitude given Velocity at Surface [L]

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Formula

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Latitude given Velocity at Surface

Formula

`"L" = asin((pi*"τ"/"V"_{"s"})^2/(2*"D"*"ρ"*"Ω"_{"E"}))`

Example

`"0.947703m"=asin((pi*"0.6N/m²"/"0.5m/s")^2/(2*"120m"*"1000kg/m³"*"7.2921159E^-05rad/s"))`

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Latitude given Velocity at Surface Solution

STEP 0: Pre-Calculation Summary

Formula Used

Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth))
L = asin((pi*τ/V_s)^2/(2*D*ρ*Ω_E))
This formula uses 1 Constants, 2 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

Latitude of the line - (Measured in Meter) - Latitude of the line is the projection of the specific line in north-south direction.
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 of an object or fluid at the immediate boundary with another medium.
Depth of Frictional Influence - (Measured in Meter) - Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important.
Density of Water - (Measured in Kilogram per Cubic Meter) - Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together.
Angular Speed of the Earth - (Measured in Radian per Second) - Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

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
Depth of Frictional Influence: 120 Meter --> 120 Meter No Conversion Required
Density of Water: 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = asin((pi*τ/V_s)^2/(2*D*ρ*Ω_E)) --> asin((pi*0.6/0.5)^2/(2*120*1000*7.2921159E-05))

Evaluating ... ...

L = 0.947703312627697

STEP 3: Convert Result to Output's Unit

0.947703312627697 Meter --> No Conversion Required

FINAL ANSWER

0.947703312627697 ≈ 0.947703 Meter <-- Latitude of the line

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Coastal and Ocean Engineering » Surf Zone Hydrodynamics » Harbor Hydrodynamics » Mooring » Mooring Forces » Latitude given Velocity at Surface

Credits

Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

Mithila Muthamma PA has created this Calculator and 2000+ more calculators!

Verified by Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has verified this Calculator and 1700+ more calculators!

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Latitude given Velocity at Surface

Go Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth))

Angular velocity of Earth for velocity at surface

Go Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*sin(Latitude of the line))

Density of Water given Velocity at Surface

Go Density of Water = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Angular Speed of the Earth*sin(Latitude of the line))

Depth given Velocity at Surface

Go Depth of Frictional Influence = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Density of Water*Angular Speed of the Earth*sin(Latitude of the line))

Velocity at Surface given Shear Stress at Water Surface

Go 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))

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number

Go Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed*Waterline Length of a Vessel))

Kinematic Viscosity of Water given Reynolds Number

Go Kinematic Viscosity = (Average Current Speed*Waterline Length of a Vessel*cos(Angle of the Current))/Reynolds Number

Waterline Length of Vessel given Reynolds Number

Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity)/Waterline Length of a Vessel*cos(Angle of the Current)

Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind

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

Displacement of Vessel for Wetted Surface Area of Vessel

Go Displacement of a Vessel = (Vessel Draft*(Wetted Surface Area of Vessel-(1.7*Vessel Draft*Waterline Length of a Vessel)))/35

Wetted Surface Area of Vessel

Go Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)

Waterline Length of Vessel for Wetted Surface Area of Vessel

Go Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Vessel Draft))/1.7*Vessel Draft

Mass Density of Air given Drag Force due to Wind

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

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

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

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

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

Drag Force due to Wind

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

Total Longitudinal Current Load on Vessel

Go Total Longitudinal Current Load on a Vessel = Form Drag of a Vessel+Skin Friction of a Vessel+Vessel Propeller Drag

Waterline Length of Vessel given Expanded or Developed Blade Area

Go Waterline Length of a Vessel = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Vessel Beam

Vessel Beam given Expanded or Developed Blade Area of Propeller

Go Vessel Beam = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Waterline Length of a Vessel

Area Ratio given Expanded or Developed Blade Area of Propeller

Go Area Ratio = Waterline Length of a Vessel*Vessel Beam/(Expanded or Developed blade area of a propeller*0.838)

Expanded or Developed Blade Area of Propeller

Go Expanded or Developed blade area of a propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio

Elevation given Velocity at Desired Elevation

Go Desired Elevation = 10*(Velocity at the desired elevation z/Wind Speed at Height of 10 m)^1/0.11

Wind Speed at Standard Elevation of 10 m given Velocity at Desired Elevation

Go Wind Speed at Height of 10 m = Velocity at the desired elevation z/(Desired Elevation/10)^0.11

Velocity at Desired Elevation Z

Go Velocity at the desired elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

Latitude 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 Latitude given Velocity at Surface?

Latitude given Velocity at Surface calculator uses Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth)) to calculate the Latitude of the line, Latitude given Velocity at Surface is defined as measurement of distance north or south of Equator. A circle of latitude is imaginary ring linking all points sharing parallel. Latitude of the line is denoted by L symbol.

How to calculate Latitude given Velocity at Surface using this online calculator? To use this online calculator for Latitude given Velocity at Surface, enter Shear Stress at the Water Surface (τ), Velocity at the Surface (V_s), Depth of Frictional Influence (D), Density of Water (ρ) & Angular Speed of the Earth (Ω_E) and hit the calculate button. Here is how the Latitude given Velocity at Surface calculation can be explained with given input values -> 0.599152 = asin((pi*0.6/0.5)^2/(2*120*1000*7.2921159E-05)).

FAQ

What is Latitude given Velocity at Surface?

Latitude given Velocity at Surface is defined as measurement of distance north or south of Equator. A circle of latitude is imaginary ring linking all points sharing parallel and is represented as L = asin((pi*τ/V_s)^2/(2*D*ρ*Ω_E)) or Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth)). 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 of an object or fluid at the immediate boundary with another medium, Depth of Frictional Influence is the depth over which the turbulent eddy viscosity is important, Density of Water is its mass per unit volume. It’s a measurement of how tightly matter is packed together & Angular Speed of the Earth is the measure of how fast the central angle of a rotating body changes with respect to time.

How to calculate Latitude given Velocity at Surface?

Latitude given Velocity at Surface is defined as measurement of distance north or south of Equator. A circle of latitude is imaginary ring linking all points sharing parallel is calculated using Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth)). To calculate Latitude given Velocity at Surface, you need Shear Stress at the Water Surface (τ), Velocity at the Surface (V_s), Depth of Frictional Influence (D), Density of Water (ρ) & Angular Speed of the Earth (Ω_E). With our tool, you need to enter the respective value for Shear Stress at the Water Surface, Velocity at the Surface, Depth of Frictional Influence, Density of Water & Angular Speed of the Earth 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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