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*Coefficient of Drag*Projected Area of the Vessel))
V10 = sqrt(FD/(0.5*ρair*CD'*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 refers to the mass of air per unit volume, typically measured in kilograms per cubic meter (kg/m³).
Coefficient of Drag - Coefficient of Drag 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 refers to the horizontal cross-sectional area that the vessel presents to the flow of water.
STEP 1: Convert Input(s) to Base Unit
Drag Force: 37 Newton --> 37 Newton No Conversion Required
Air Density: 1.225 Kilogram per Cubic Meter --> 1.225 Kilogram per Cubic Meter No Conversion Required
Coefficient of Drag: 0.0025 --> No Conversion Required
Projected Area of the Vessel: 52 Square Meter --> 52 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V10 = sqrt(FD/(0.5*ρair*CD'*A)) --> sqrt(37/(0.5*1.225*0.0025*52))
Evaluating ... ...
V10 = 21.5563953147063
STEP 3: Convert Result to Output's Unit
21.5563953147063 Meter per Second --> No Conversion Required
FINAL ANSWER
21.5563953147063 21.5564 Meter per Second <-- Wind Speed at Height of 10 m
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
Mithila Muthamma PA has created this Calculator and 2000+ more calculators!
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Verified by Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
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Mooring Forces Calculators

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind
​ LaTeX ​ Go Coefficient of Drag = 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
​ LaTeX ​ Go Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2)
Mass Density of Air given Drag Force due to Wind
​ LaTeX ​ 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
​ LaTeX ​ Go Drag Force = 0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

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

​LaTeX ​Go
Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel))
V10 = sqrt(FD/(0.5*ρair*CD'*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*Coefficient of Drag*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 formula is defined as a specific method of estimating wind speed at a height of 10 meters above the surface of water, particularly in the context of coastal and ocean engineering. The standard measurement height for wind speed is 10 meters above ground level because it represents a height where wind effects are less influenced by surface roughness and local obstacles, providing a consistent reference point for comparison across different locations. 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 (FD), Air Density air), Coefficient of Drag (CD') & 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 -> 21.5564 = sqrt(37/(0.5*1.225*0.0025*52)).

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 formula is defined as a specific method of estimating wind speed at a height of 10 meters above the surface of water, particularly in the context of coastal and ocean engineering. The standard measurement height for wind speed is 10 meters above ground level because it represents a height where wind effects are less influenced by surface roughness and local obstacles, providing a consistent reference point for comparison across different locations and is represented as V10 = sqrt(FD/(0.5*ρair*CD'*A)) or Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Coefficient of Drag*Projected Area of the Vessel)). Drag Force is the resisting force experienced by an object moving through a fluid, Air Density refers to the mass of air per unit volume, typically measured in kilograms per cubic meter (kg/m³), Coefficient of Drag 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 refers to the horizontal cross-sectional area that the vessel presents to the flow of water.
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 formula is defined as a specific method of estimating wind speed at a height of 10 meters above the surface of water, particularly in the context of coastal and ocean engineering. The standard measurement height for wind speed is 10 meters above ground level because it represents a height where wind effects are less influenced by surface roughness and local obstacles, providing a consistent reference point for comparison across different locations is calculated using Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Coefficient of Drag*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 (FD), Air Density air), Coefficient of Drag (CD') & Projected Area of the Vessel (A). With our tool, you need to enter the respective value for Drag Force, Air Density, Coefficient of Drag & 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, Coefficient of Drag & 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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