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Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number 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{Re m \cdot ν'}{V c \cdot l wl})

θ_c - Angle of the Current?Re_m - Reynolds Number for Mooring Forces?ν^' - Kinematic Viscosity in Stokes?V_c - Average Current Speed?l_wl - Waterline Length of a Vessel?

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Example

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Here is how the Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number equation looks like with Values.

Here is how the Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number equation looks like with Units.

Here is how the Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number equation looks like.

1.4727 = a \cos (\frac{200 \cdot 7.25}{728.2461 \cdot 7.32})

1.4727 = a \cos (\frac{200 \cdot 7.25St}{728.2461m/h \cdot 7.32m})

1.4727 = a \cos (\frac{200 \cdot 7.25}{728.2461 \cdot 7.32})

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Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Solution

Follow our step by step solution on how to calculate Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?

FIRST Step Consider the formula

θ c = a \cos (\frac{Re m \cdot ν'}{V c \cdot l wl})

Next Step Substitute values of Variables

∴

θ c = a \cos (\frac{200 \cdot 7.25St}{728.2461m/h \cdot 7.32m})

Next Step Convert Units

∴

θ c = a \cos (\frac{200 \cdot 0.0007m²/s}{0.2023m/s \cdot 7.32m})

Next Step Prepare to Evaluate

∴

θ c = a \cos (\frac{200 \cdot 0.0007}{0.2023 \cdot 7.32})

Next Step Evaluate

∴

θ c = 1.47271693471467

LAST Step Rounding Answer

∴

θ c = 1.4727

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number 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

Reynolds Number for Mooring Forces

The Reynolds Number for Mooring Forces refers to the number for mooring forces involved in understanding the flow conditions around mooring lines or structures.

Symbol: Re_m

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reynolds Number for Mooring Forces

Kinematic Viscosity in Stokes

Kinematic Viscosity in Stokes is defined as the ratio between the dynamic viscosity μ and the density ρ of the fluid.

Symbol: ν^'

Measurement: Kinematic ViscosityUnit: St

Note: Value should be greater than 0.

Formulas to find Kinematic Viscosity in Stokes

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

Waterline Length of a Vessel

Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.

Symbol: l_wl

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Waterline Length of a Vessel

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 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 Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number evaluator uses Angle of the Current = acos((Reynolds Number for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel)) to evaluate the Angle of the Current, The Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number formula is defined as a parameter influencing the skin friction coefficient as a function of Reynolds number. Angle of the Current is denoted by θ_c symbol.

How to evaluate Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number using this online evaluator? To use this online evaluator for Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number, enter Reynolds Number for Mooring Forces (Re_m), Kinematic Viscosity in Stokes (ν^'), Average Current Speed (V_c) & Waterline Length of a Vessel (l_wl) and hit the calculate button.

FAQs on Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number

What is the formula to find Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?

The formula of Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number is expressed as Angle of the Current = acos((Reynolds Number for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel)). Here is an example- 1.472717 = acos((200*0.000725)/(0.202290583333333*7.32)).

How to calculate Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?

With Reynolds Number for Mooring Forces (Re_m), Kinematic Viscosity in Stokes (ν^'), Average Current Speed (V_c) & Waterline Length of a Vessel (l_wl) we can find Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number using the formula - Angle of the Current = acos((Reynolds Number for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel)). This formula also uses Cosine (cos), Inverse Cosine (acos) function(s).

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Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Formula

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Example

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Solution

Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number Formula Elements

Other formulas in Mooring Forces category

How to Evaluate Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number?

FAQs on Angle of Current Relative to Longitudinal Axis of Vessel given Reynolds Number

Variable Name