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

✖Drag Force is the resisting force experienced by an object moving through a fluid.ⓘ Drag Force [F_D]			+10% -10%
✖Air Density is the density of wind or air in the atmosphere.ⓘ Air Density [ρ_air]			+10% -10%
✖Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.ⓘ Drag Coefficient [C_D]			+10% -10%
✖Projected Area of the Vessel above the Waterline.ⓘ Projected Area of the Vessel [A]			+10% -10%

✖Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.ⓘ Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind [V₁₀]

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

Formula

`"V"_{"10"} = sqrt("F"_{"D"}/(0.5*"ρ"_{"air"}*"C"_{"D"}*"A"))`

Example

`"0.295084m/s"=sqrt("80N"/(0.5*"1.225kg/m³"*"30"*"50m²"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel))
V₁₀ = sqrt(F_D/(0.5*ρ_air*C_D*A))
This formula uses 1 Functions, 5 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Wind Speed at Height of 10 m - (Measured in Meter per Second) - Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.
Drag Force - (Measured in Newton) - Drag Force is the resisting force experienced by an object moving through a fluid.
Air Density - (Measured in Kilogram per Cubic Meter) - Air Density is the density of wind or air in the atmosphere.
Drag Coefficient - Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Projected Area of the Vessel - (Measured in Square Meter) - Projected Area of the Vessel above the Waterline.

STEP 1: Convert Input(s) to Base Unit

Drag Force: 80 Newton --> 80 Newton No Conversion Required
Air Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Drag Coefficient: 30 --> No Conversion Required
Projected Area of the Vessel: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V₁₀ = sqrt(F_D/(0.5*ρ_air*C_D*A)) --> sqrt(80/(0.5*1.225*30*50))

Evaluating ... ...

V₁₀ = 0.295084445425327

STEP 3: Convert Result to Output's Unit

0.295084445425327 Meter per Second --> No Conversion Required

FINAL ANSWER

0.295084445425327 ≈ 0.295084 Meter per Second <-- Wind Speed at Height of 10 m

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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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

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

Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel))
V₁₀ = sqrt(F_D/(0.5*ρ_air*C_D*A))

What factors affect drag?

Drag is influenced by other factors including shape, texture, viscosity (which results in viscous drag or skin friction ), compressibility, lift (which causes induced drag ), boundary layer separation, and so on.

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

Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind calculator uses Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel)) to calculate the Wind Speed at Height of 10 m, The Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind is defined as the parameter influencing the wind load in the usual drag equation. Wind Speed at Height of 10 m is denoted by V₁₀ symbol.

How to calculate Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind using this online calculator? To use this online calculator for Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind, enter Drag Force (F_D), Air Density (ρ_air), Drag Coefficient (C_D) & Projected Area of the Vessel (A) and hit the calculate button. Here is how the Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind calculation can be explained with given input values -> 0.295084 = sqrt(80/(0.5*1.225*30*50)).

FAQ

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

The Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind is defined as the parameter influencing the wind load in the usual drag equation and is represented as V₁₀ = sqrt(F_D/(0.5*ρ_air*C_D*A)) or Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel)). Drag Force is the resisting force experienced by an object moving through a fluid, Air Density is the density of wind or air in the atmosphere, Drag Coefficient is a dimensionless quantity that is used to quantify the drag or resistance of an object in a fluid environment, such as air or water & Projected Area of the Vessel above the Waterline.

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

The Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind is defined as the parameter influencing the wind load in the usual drag equation is calculated using Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel)). To calculate Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind, you need Drag Force (F_D), Air Density (ρ_air), Drag Coefficient (C_D) & Projected Area of the Vessel (A). With our tool, you need to enter the respective value for Drag Force, Air Density, Drag Coefficient & Projected Area of the Vessel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Wind Speed at Height of 10 m?

In this formula, Wind Speed at Height of 10 m uses Drag Force, Air Density, Drag Coefficient & Projected Area of the Vessel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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