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

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Projected Area of the Vessel refers to the horizontal cross-sectional area that the vessel presents to the flow of water. Check FAQs

A = \frac{F D}{0.5 \cdot ρ air \cdot C D' \cdot {V 10}^{2}}

A - Projected Area of the Vessel?F_D - Drag Force?ρ_air - Air Density?C_D' - Coefficient of Drag?V₁₀ - Wind Speed at Height of 10 m?

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

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Here is how the Projected Area of Vessel above Waterline given Drag Force due to Wind equation looks like with Values.

Here is how the Projected Area of Vessel above Waterline given Drag Force due to Wind equation looks like with Units.

Here is how the Projected Area of Vessel above Waterline given Drag Force due to Wind equation looks like.

49.9241 = \frac{37}{0.5 \cdot 1.225 \cdot 0.0025 \cdot 22^{2}}

49.9241m² = \frac{37N}{0.5 \cdot 1.225kg/m³ \cdot 0.0025 \cdot {22m/s}^{2}}

49.9241 = \frac{37}{0.5 \cdot 1.225 \cdot 0.0025 \cdot 22^{2}}

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

Follow our step by step solution on how to calculate Projected Area of Vessel above Waterline given Drag Force due to Wind?

FIRST Step Consider the formula

A = \frac{F D}{0.5 \cdot ρ air \cdot C D' \cdot {V 10}^{2}}

Next Step Substitute values of Variables

∴

A = \frac{37N}{0.5 \cdot 1.225kg/m³ \cdot 0.0025 \cdot {22m/s}^{2}}

Next Step Prepare to Evaluate

∴

A = \frac{37}{0.5 \cdot 1.225 \cdot 0.0025 \cdot 22^{2}}

Next Step Evaluate

∴

A = 49.9241018721538m²

LAST Step Rounding Answer

∴

A = 49.9241m²

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

Variables

Projected Area of the Vessel

Projected Area of the Vessel refers to the horizontal cross-sectional area that the vessel presents to the flow of water.

Symbol: A

Measurement: AreaUnit: m²

Note: Value can be positive or negative.

Formulas to find Projected Area of the Vessel

Drag Force

Drag Force is the resisting force experienced by an object moving through a fluid.

Symbol: F_D

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Drag Force

Air Density

Air Density refers to the mass of air per unit volume, typically measured in kilograms per cubic meter (kg/m³).

Symbol: ρ_air

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Air Density

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.

Symbol: C_D'

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Coefficient of Drag

Wind Speed at Height of 10 m

Wind Speed at Height of 10 m is the ten-meter wind speed measured ten meters above the top of the datum of consideration.

Symbol: V₁₀

Measurement: SpeedUnit: m/s

Note: Value should be greater than 0.

Formulas to find Wind Speed at Height of 10 m

Other formulas in Mooring Forces category

Go Undamped Natural Period of Vessel

T n = 2 \cdot π \cdot (\sqrt{\frac{m v}{k tot}})

Go Virtual Mass of Vessel

m v = m + m a

Go Mass of Vessel given Virtual Mass of Vessel

m = m v - m a

Go Individual Stiffness of Mooring Line

k n' = \frac{T n'}{Δl η'}

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

Projected Area of Vessel above Waterline given Drag Force due to Wind evaluator uses Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2) to evaluate 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 evaluate Projected Area of Vessel above Waterline given Drag Force due to Wind using this online evaluator? To use this online evaluator for Projected Area of Vessel above Waterline given Drag Force due to Wind, enter Drag Force (F_D), Air Density (ρ_air), Coefficient of Drag (C_D') & Wind Speed at Height of 10 m (V₁₀) and hit the calculate button.

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

What is the formula to find Projected Area of Vessel above Waterline given Drag Force due to Wind?

The formula of Projected Area of Vessel above Waterline given Drag Force due to Wind is expressed as Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2). Here is an example- 47.29855 = 37/(0.5*1.225*0.0025*22^2).

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

With Drag Force (F_D), Air Density (ρ_air), Coefficient of Drag (C_D') & Wind Speed at Height of 10 m (V₁₀) we can find Projected Area of Vessel above Waterline given Drag Force due to Wind using the formula - Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2).

Can the Projected Area of Vessel above Waterline given Drag Force due to Wind be negative?

Yes, the Projected Area of Vessel above Waterline given Drag Force due to Wind, measured in Area can be negative.

Which unit is used to measure Projected Area of Vessel above Waterline given Drag Force due to Wind?

Projected Area of Vessel above Waterline given Drag Force due to Wind is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Projected Area of Vessel above Waterline given Drag Force due to Wind can be measured.

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

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

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

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

Other formulas in Mooring Forces category

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

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

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