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Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Formula

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Angle of the Current refers to the direction at which ocean currents or tidal flows approach a coastline or a coastal structure, relative to a defined reference direction. Check FAQs

θ c = a \cos (- \frac{F c, form}{0.5 \cdot ρ water \cdot C c, form \cdot B \cdot T \cdot {V c}^{2}})

θ_c - Angle of the Current?F_{c, form} - Form Drag of a Vessel?ρ_water - Water Density?C_{c, form} - Form Drag Coefficient?B - Vessel Beam?T - Vessel Draft?V_c - Average Current Speed?

Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Example

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Here is how the Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel equation looks like with Values.

Here is how the Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel equation looks like with Units.

Here is how the Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel equation looks like.

2.0224 = a \cos (- \frac{0.15}{0.5 \cdot 1000 \cdot 5 \cdot 2 \cdot 1.68 \cdot {728.2461}^{2}})

2.0224 = a \cos (- \frac{0.15kN}{0.5 \cdot 1000kg/m³ \cdot 5 \cdot 2m \cdot 1.68m \cdot {728.2461m/h}^{2}})

2.0224 = a \cos (- \frac{0.15}{0.5 \cdot 1000 \cdot 5 \cdot 2 \cdot 1.68 \cdot {728.2461}^{2}})

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Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Solution

Follow our step by step solution on how to calculate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel?

FIRST Step Consider the formula

θ c = a \cos (- \frac{F c, form}{0.5 \cdot ρ water \cdot C c, form \cdot B \cdot T \cdot {V c}^{2}})

Next Step Substitute values of Variables

∴

θ c = a \cos (- \frac{0.15kN}{0.5 \cdot 1000kg/m³ \cdot 5 \cdot 2m \cdot 1.68m \cdot {728.2461m/h}^{2}})

Next Step Convert Units

∴

θ c = a \cos (- \frac{150N}{0.5 \cdot 1000kg/m³ \cdot 5 \cdot 2m \cdot 1.68m \cdot {0.2023m/s}^{2}})

Next Step Prepare to Evaluate

∴

θ c = a \cos (- \frac{150}{0.5 \cdot 1000 \cdot 5 \cdot 2 \cdot 1.68 \cdot {0.2023}^{2}})

Next Step Evaluate

∴

θ c = 2.02236308371623

LAST Step Rounding Answer

∴

θ c = 2.0224

Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Formula Elements

Variables

Functions

Angle of the Current

Angle of the Current refers to the direction at which ocean currents or tidal flows approach a coastline or a coastal structure, relative to a defined reference direction.

Symbol: θ_c

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Angle of the Current

Form Drag of a Vessel

Form Drag of a Vessel refers to the resistance experienced by the vessel due to its shape and the flow of water around it.

Symbol: F_{c, form}

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Form Drag of a Vessel

Water Density

Water Density is mass per unit volume of water.

Symbol: ρ_water

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Water Density

Form Drag Coefficient

Form Drag Coefficient is a dimensionless number that quantifies the resistance experienced by an object, such as a coastal structure or seabed feature.

Symbol: C_{c, form}

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Form Drag Coefficient

Vessel Beam

Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point.

Symbol: B

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Vessel Beam

Vessel Draft

Vessel Draft refers to the vertical distance between the waterline and the lowest point of a ship's hull, usually measured amidships (in the middle of the ship).

Symbol: T

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Vessel Draft

Average Current Speed

Average Current Speed for propeller drag refers to calculating propeller drag in water depending on factors, including the type of vessel, size and shape of propeller, and operating conditions.

Symbol: V_c

Measurement: SpeedUnit: m/h

Note: Value can be positive or negative.

Formulas to find Average Current Speed

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

acos

The inverse cosine function, is the inverse function of the cosine function. It is the function that takes a ratio as an input and returns the angle whose cosine is equal to that ratio.

Syntax: acos(Number)

Other formulas in Form Drag category

Go Form Drag of Vessel given Total Longitudinal Current Load on Vessel

F c, form = F c, tot - F c,fric - F c, prop

Go Form Drag Coefficient given Form Drag of Vessel

C c, form = \frac{F c, form}{0.5 \cdot ρ water \cdot B \cdot T \cdot {V c}^{2} \cdot \cos (θ c)}

How to Evaluate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel?

Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel evaluator uses Angle of the Current = acos(-Form Drag of a Vessel/(0.5*Water Density*Form Drag Coefficient*Vessel Beam*Vessel Draft*Average Current Speed^2)) to evaluate the Angle of the Current, The Angle of Current relative to longitudinal axis of vessel for Form Drag of Vessel formula is defined as parameter influencing Longitudinal current loads on ships and Form drag is due to flow of water past vessel's cross-sectional area. Angle of the Current is denoted by θ_c symbol.

How to evaluate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel using this online evaluator? To use this online evaluator for Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel, enter Form Drag of a Vessel (F_{c, form}), Water Density (ρ_water), Form Drag Coefficient (C_{c, form}), Vessel Beam (B), Vessel Draft (T) & Average Current Speed (V_c) and hit the calculate button.

FAQs on Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel

What is the formula to find Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel?

The formula of Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel is expressed as Angle of the Current = acos(-Form Drag of a Vessel/(0.5*Water Density*Form Drag Coefficient*Vessel Beam*Vessel Draft*Average Current Speed^2)). Here is an example- 2.022363 = acos(-150/(0.5*1000*5*2*1.68*0.202290583333333^2)).

How to calculate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel?

With Form Drag of a Vessel (F_{c, form}), Water Density (ρ_water), Form Drag Coefficient (C_{c, form}), Vessel Beam (B), Vessel Draft (T) & Average Current Speed (V_c) we can find Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel using the formula - Angle of the Current = acos(-Form Drag of a Vessel/(0.5*Water Density*Form Drag Coefficient*Vessel Beam*Vessel Draft*Average Current Speed^2)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

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Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Formula

Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Example

Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Solution

Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel Formula Elements

Other formulas in Form Drag category

How to Evaluate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel?

FAQs on Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel

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