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

STEP 0: Pre-Calculation Summary
Formula Used
Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2)
A = FD/(0.5*ρair*CD'*V10^2)
This formula uses 5 Variables
Variables Used
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.
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.
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.
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
Wind Speed at Height of 10 m: 22 Meter per Second --> 22 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = FD/(0.5*ρair*CD'*V10^2) --> 37/(0.5*1.225*0.0025*22^2)
Evaluating ... ...
A = 49.9241018721538
STEP 3: Convert Result to Output's Unit
49.9241018721538 Square Meter --> No Conversion Required
FINAL ANSWER
49.9241018721538 49.9241 Square Meter <-- Projected Area of the Vessel
(Calculation completed in 00.020 seconds)

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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

Important Formulas of Mooring Forces Calculators

Undamped Natural Period of Vessel
​ LaTeX ​ Go Undamped Natural Period of a Vessel = 2*pi*(sqrt(Virtual Mass of the Ship/Effective Spring Constant))
Individual Stiffness of Mooring Line
​ LaTeX ​ Go Individual Mooring Line Stiffness = Axial Tension or Load on a Mooring Line/Elongation in the Mooring Line
Mass of Vessel given Virtual Mass of Vessel
​ LaTeX ​ Go Mass of a Vessel = Virtual Mass of the Ship-Mass of Vessel due to Inertial Effects
Virtual Mass of Vessel
​ LaTeX ​ Go Virtual Mass of the Ship = Mass of a Vessel+Mass of Vessel due to Inertial Effects

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

​LaTeX ​Go
Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2)
A = FD/(0.5*ρair*CD'*V10^2)

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

Projected Area of Vessel above Waterline given Drag Force due to Wind calculator uses Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2) to calculate the Projected Area of the Vessel, The Projected Area of Vessel above Waterline given Drag Force due to Wind formula is defined as the surface area of the part of the ship that is exposed to the wind. This area is significant because it directly affects the drag force exerted by the wind on the vessel. It is the parameter influencing the wind load the usual drag equation. Projected Area of the Vessel is denoted by A symbol.

How to calculate Projected Area of Vessel above Waterline given Drag Force due to Wind using this online calculator? To use this online calculator for Projected Area of Vessel above Waterline given Drag Force due to Wind, enter Drag Force (FD), Air Density air), Coefficient of Drag (CD') & Wind Speed at Height of 10 m (V10) and hit the calculate button. Here is how the Projected Area of Vessel above Waterline given Drag Force due to Wind calculation can be explained with given input values -> 47.29855 = 37/(0.5*1.225*0.0025*22^2).

FAQ

What is Projected Area of Vessel above Waterline given Drag Force due to Wind?
The Projected Area of Vessel above Waterline given Drag Force due to Wind formula is defined as the surface area of the part of the ship that is exposed to the wind. This area is significant because it directly affects the drag force exerted by the wind on the vessel. It is the parameter influencing the wind load the usual drag equation and is represented as A = FD/(0.5*ρair*CD'*V10^2) or Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2). 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 & Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.
How to calculate Projected Area of Vessel above Waterline given Drag Force due to Wind?
The Projected Area of Vessel above Waterline given Drag Force due to Wind formula is defined as the surface area of the part of the ship that is exposed to the wind. This area is significant because it directly affects the drag force exerted by the wind on the vessel. It is the parameter influencing the wind load the usual drag equation is calculated using Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2). To calculate Projected Area of Vessel above Waterline given Drag Force due to Wind, you need Drag Force (FD), Air Density air), Coefficient of Drag (CD') & Wind Speed at Height of 10 m (V10). With our tool, you need to enter the respective value for Drag Force, Air Density, Coefficient of Drag & Wind Speed at Height of 10 m 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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