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

STEP 0: Pre-Calculation Summary
Formula Used
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))
θc = acos(-Fc, form/(0.5*ρwater*Cc, form*B*T*Vc^2))
This formula uses 2 Functions, 7 Variables
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., acos(Number)
Variables Used
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.
Form Drag of a Vessel - (Measured in Newton) - Form Drag of a Vessel refers to the resistance experienced by the vessel due to its shape and the flow of water around it.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit volume of water.
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.
Vessel Beam - (Measured in Meter) - Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point.
Vessel Draft - (Measured in Meter) - 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).
Average Current Speed - (Measured in Meter per Second) - 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.
STEP 1: Convert Input(s) to Base Unit
Form Drag of a Vessel: 0.15 Kilonewton --> 150 Newton (Check conversion ​here)
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Form Drag Coefficient: 5 --> No Conversion Required
Vessel Beam: 2 Meter --> 2 Meter No Conversion Required
Vessel Draft: 1.68 Meter --> 1.68 Meter No Conversion Required
Average Current Speed: 728.2461 Meter per Hour --> 0.202290583333333 Meter per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
θc = acos(-Fc, form/(0.5*ρwater*Cc, form*B*T*Vc^2)) --> acos(-150/(0.5*1000*5*2*1.68*0.202290583333333^2))
Evaluating ... ...
θc = 2.02236308371623
STEP 3: Convert Result to Output's Unit
2.02236308371623 --> No Conversion Required
FINAL ANSWER
2.02236308371623 2.022363 <-- Angle of the Current
(Calculation completed in 00.004 seconds)

Credits

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Created by Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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National Institute of Technology (NIT), Warangal
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Form Drag Calculators

Form Drag Coefficient given Form Drag of Vessel
​ LaTeX ​ Go Form Drag Coefficient = Form Drag of a Vessel/(0.5*Water Density*Vessel Beam*Vessel Draft*Average Current Speed^2*cos(Angle of the Current))
Vessel Draft given Form Drag of Vessel
​ LaTeX ​ Go Vessel Draft = Form Drag of a Vessel/(0.5*Water Density*Form Drag Coefficient*Vessel Beam*Average Current Speed^2*cos(Angle of the Current))
Vessel Beam given Form Drag of Vessel
​ LaTeX ​ Go Vessel Beam = Form Drag of a Vessel/(0.5*Water Density*Form Drag Coefficient*Vessel Draft*Average Current Speed^2*cos(Angle of the Current))
Form Drag of Vessel given Total Longitudinal Current Load on Vessel
​ LaTeX ​ Go Form Drag of a Vessel = Total Longitudinal Current Load on a Vessel-Skin Friction of a Vessel-Vessel Propeller Drag

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

​LaTeX ​Go
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))
θc = acos(-Fc, form/(0.5*ρwater*Cc, form*B*T*Vc^2))

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How to Calculate 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 calculator 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 calculate 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 θc symbol.

How to calculate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel using this online calculator? To use this online calculator for Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel, enter Form Drag of a Vessel (Fc, form), Water Density water), Form Drag Coefficient (Cc, form), Vessel Beam (B), Vessel Draft (T) & Average Current Speed (Vc) and hit the calculate button. Here is how the Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel calculation can be explained with given input values -> 2.022363 = acos(-150/(0.5*1000*5*2*1.68*0.202290583333333^2)).

FAQ

What is Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel?
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 and is represented as θc = acos(-Fc, form/(0.5*ρwater*Cc, form*B*T*Vc^2)) or 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)). Form Drag of a Vessel refers to the resistance experienced by the vessel due to its shape and the flow of water around it, Water Density is mass per unit volume of water, Form Drag Coefficient is a dimensionless number that quantifies the resistance experienced by an object, such as a coastal structure or seabed feature, Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point, 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) & 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.
How to calculate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel?
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 is calculated using 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 calculate Angle of Current Relative to Longitudinal Axis of Vessel for Form Drag of Vessel, you need Form Drag of a Vessel (Fc, form), Water Density water), Form Drag Coefficient (Cc, form), Vessel Beam (B), Vessel Draft (T) & Average Current Speed (Vc). With our tool, you need to enter the respective value for Form Drag of a Vessel, Water Density, Form Drag Coefficient, Vessel Beam, Vessel Draft & Average Current Speed 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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