Waterline Length of Vessel given Expanded or Developed Blade Area Calculator

✖Expanded or Developed Blade Area of a Propeller refers to the surface area of the propeller blades when they are "unwrapped" and laid flat on a plane.ⓘ Expanded or Developed Blade Area of a Propeller [A_p]			+10% -10%
✖Area Ratio is a parameter used to describe the proportion of a specific area relative to another reference area.ⓘ Area Ratio [A_r]			+10% -10%
✖Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point.ⓘ Vessel Beam [B]			+10% -10%

✖Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.ⓘ Waterline Length of Vessel given Expanded or Developed Blade Area [l_wl]

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Formula

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Waterline Length of Vessel given Expanded or Developed Blade Area

Formula

`"l"_{"wl"} = ("A"_{"p"}*0.838*"A"_{"r"})/"B"`

Example

`"7.2906m"=("15m²"*0.838*"1.16")/"2m"`

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Waterline Length of Vessel given Expanded or Developed Blade Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam
l_wl = (A_p*0.838*A_r)/B
This formula uses 4 Variables

Variables Used

Waterline Length of a Vessel - (Measured in Meter) - Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.
Expanded or Developed Blade Area of a Propeller - (Measured in Square Meter) - Expanded or Developed Blade Area of a Propeller refers to the surface area of the propeller blades when they are "unwrapped" and laid flat on a plane.
Area Ratio - Area Ratio is a parameter used to describe the proportion of a specific area relative to another reference area.
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.

STEP 1: Convert Input(s) to Base Unit

Expanded or Developed Blade Area of a Propeller: 15 Square Meter --> 15 Square Meter No Conversion Required
Area Ratio: 1.16 --> No Conversion Required
Vessel Beam: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_wl = (A_p*0.838*A_r)/B --> (15*0.838*1.16)/2

Evaluating ... ...

l_wl = 7.2906

STEP 3: Convert Result to Output's Unit

7.2906 Meter --> No Conversion Required

FINAL ANSWER

7.2906 Meter <-- Waterline Length of a Vessel

(Calculation completed in 00.020 seconds)

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Created by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 25 Mooring Forces Calculators

Latitude given Velocity at Surface

Go Latitude of the line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*Angular Speed of the Earth))

Angular velocity of Earth for velocity at surface

Go Angular Speed of the Earth = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Density of Water*sin(Latitude of the line))

Density of Water given Velocity at Surface

Go Density of Water = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Angular Speed of the Earth*sin(Latitude of the line))

Depth given Velocity at Surface

Go Depth of Frictional Influence = (pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Density of Water*Angular Speed of the Earth*sin(Latitude of the line))

Velocity at Surface given Shear Stress at Water Surface

Go Velocity at the Surface = pi*Shear Stress at the Water Surface/(2*Depth of Frictional Influence*Water Density*Angular Speed of the Earth*sin(Latitude of the line))

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

Go Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed in meter/second*Waterline Length of a Vessel))

Waterline Length of Vessel given Reynolds Number

Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds Number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/Waterline Length of a Vessel*cos(Angle of the Current)

Kinematic Viscosity of Water given Reynolds Number

Go Kinematic Viscosity = (Average Current Speed*Waterline Length of a Vessel*cos(Angle of the Current))/Reynolds Number

Wind Speed at Standard Elevation of 10 m above Water's Surface using Drag Force due to Wind

Go Wind Speed at Height of 10 m = sqrt(Drag Force/(0.5*Air Density*Drag Coefficient*Projected Area of the Vessel))

Waterline Length of Vessel for Wetted Surface Area of Vessel

Go Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel

Displacement of Vessel for Wetted Surface Area of Vessel

Go Displacement of a Vessel = (Vessel Draft*(Wetted Surface Area of Vessel-(1.7*Vessel Draft*Waterline Length of a Vessel)))/35

Wetted Surface Area of Vessel

Go Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

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

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

Go Density of Air = Drag Force/(0.5*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

Go Drag Force = 0.5*Air Density*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

Total Longitudinal Current Load on Vessel

Go Total Longitudinal Current Load on a Vessel = Form Drag of a Vessel+Skin Friction of a Vessel+Vessel Propeller Drag

Waterline Length of Vessel given Expanded or Developed Blade Area

Go Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam

Vessel Beam given Expanded or Developed Blade Area of Propeller

Go Vessel Beam = (Expanded or Developed blade area of a propeller*0.838*Area Ratio)/Waterline Length of a Vessel

Area Ratio given Expanded or Developed Blade Area of Propeller

Go Area Ratio = Waterline Length of a Vessel*Vessel Beam/(Expanded or Developed Blade Area of a Propeller*0.838)

Expanded or Developed Blade Area of Propeller

Go Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio

Elevation given Velocity at Desired Elevation

Go Desired Elevation = 10*(Velocity at the desired elevation z/Wind Speed at Height of 10 m)^1/0.11

Wind Speed at Standard Elevation of 10 m given Velocity at Desired Elevation

Go Wind Speed at Height of 10 m = Velocity at the Desired Elevation z/(Desired Elevation/10)^0.11

Velocity at Desired Elevation Z

Go Velocity at the Desired Elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

< 25 Important Formulas of Mooring Forces Calculators

Average Current Speed for Form Drag of Vessel

Go Longshore Current Speed = sqrt(Form Drag of a Vessel/0.5*Density of Water*Form Drag Coefficient*Vessel Beam*Vessel Draft*cos(Angle of the Current))

Vessel Draft given Form Drag of Vessel

Go Vessel Draft = Form Drag of a Vessel/(-0.5*Density of Water*Form Drag Coefficient*Vessel Beam*Average Current Speed^2*cos(Angle of the Current))

Form Drag Coefficient given Form Drag of Vessel

Go Form Drag Coefficient = Form Drag of a Vessel/(0.5*Density of Water*Vessel Beam*Vessel Draft*Average Current Speed^2*cos(Angle of the Current))

Propeller Drag Coefficient given Propeller Drag

Go Propeller Drag Coefficient = Vessel Propeller Drag/(-0.5*Density of Water*Expanded or Developed Blade Area of a Propeller*Average Current Speed^2*cos(Angle of the Current))

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

Go Angle of the Current = acos((Reynolds Number(pb)*Kinematic Viscosity)/(Average Current Speed in meter/second*Waterline Length of a Vessel))

Waterline Length of Vessel given Reynolds Number

Go Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)

Average Current Speed given Reynolds Number

Go Average Current Speed = (Reynolds Number*Kinematic Viscosity in Stokes)/Waterline Length of a Vessel*cos(Angle of the Current)

Waterline Length of Vessel for Wetted Surface Area of Vessel

Go Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel

Displacement of Vessel for Wetted Surface Area of Vessel

Go Displacement of a Vessel = (Vessel Draft*(Wetted Surface Area of Vessel-(1.7*Vessel Draft*Waterline Length of a Vessel)))/35

Wetted Surface Area of Vessel

Go Wetted Surface Area of Vessel = (1.7*Vessel Draft*Waterline Length of a Vessel)+((35*Displacement of a Vessel)/Vessel Draft)

Coefficient of Drag for Winds Measured at 10 m given Drag Force due to Wind

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

Go Projected Area of the Vessel = Drag Force/(0.5*Air Density*Coefficient of Drag*Wind Speed at Height of 10 m^2)

Drag Force due to Wind

Go Drag Force = 0.5*Air Density*Drag Coefficient*Projected Area of the Vessel*Wind Speed at Height of 10 m^2

Undamped Natural Period of Vessel

Go Undamped Natural Period of a Vessel = 2*pi*(sqrt(Virtual Mass of the Ship/Effective Spring Constant))

Waterline Length of Vessel given Expanded or Developed Blade Area

Go Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam

Area Ratio given Expanded or Developed Blade Area of Propeller

Go Area Ratio = Waterline Length of a Vessel*Vessel Beam/(Expanded or Developed Blade Area of a Propeller*0.838)

Expanded or Developed Blade Area of Propeller

Go Expanded or Developed Blade Area of a Propeller = (Waterline Length of a Vessel*Vessel Beam)/0.838*Area Ratio

Individual Stiffness of Mooring Line

Go Individual Mooring Line Stiffness = Axial Tension or Load on a Mooring Line/Elongation in the Mooring Line

Elongation in Mooring Line given Individual Stiffness of Mooring Line

Go Mooring Line Elongation = Axial Tension or Load on a Mooring Line/Individual Stiffness of a Mooring Line

Axial Tension or Load given Individual Stiffness of Mooring Line

Go Axial Tension or Load on a Mooring Line = Mooring Line Elongation*Individual Stiffness of a Mooring Line

Elongation in Mooring Line given Percent Elongation in Mooring Line

Go Elongation in the Mooring Line = Length of Mooring Line*(Percent Elongation in a Mooring Line/100)

Wind Speed at Standard Elevation of 10 m given Velocity at Desired Elevation

Go Wind Speed at Height of 10 m = Velocity at the Desired Elevation z/(Desired Elevation/10)^0.11

Velocity at Desired Elevation Z

Go Velocity at the Desired Elevation z = Wind Speed at Height of 10 m*(Desired Elevation/10)^0.11

Mass of Vessel given Virtual Mass of Vessel

Go Mass of a Vessel = Virtual Mass of the Ship-Mass of Vessel due to Inertial Effects

Virtual Mass of Vessel

Go Virtual Mass of the Ship = Mass of a Vessel+Mass of Vessel due to Inertial Effects

Waterline Length of Vessel given Expanded or Developed Blade Area Formula

Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam
l_wl = (A_p*0.838*A_r)/B

What causes Skin Friction?

Skin friction drag is caused by the viscosity of fluids and is developed from laminar drag to turbulent drag as a fluid moves on the surface of an object. Skin friction drag is generally expressed in terms of the Reynolds number, which is the ratio between inertial force and viscous force.

How to Calculate Waterline Length of Vessel given Expanded or Developed Blade Area?

Waterline Length of Vessel given Expanded or Developed Blade Area calculator uses Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam to calculate the Waterline Length of a Vessel, The Waterline length of vessel given expanded or developed blade Area is defined as the length of the ship measured at the waterline, which is the line where the hull of the ship meets the water surface. Waterline Length of a Vessel is denoted by l_wl symbol.

How to calculate Waterline Length of Vessel given Expanded or Developed Blade Area using this online calculator? To use this online calculator for Waterline Length of Vessel given Expanded or Developed Blade Area, enter Expanded or Developed Blade Area of a Propeller (A_p), Area Ratio (A_r) & Vessel Beam (B) and hit the calculate button. Here is how the Waterline Length of Vessel given Expanded or Developed Blade Area calculation can be explained with given input values -> 31.425 = (15*0.838*1.16)/2.

FAQ

What is Waterline Length of Vessel given Expanded or Developed Blade Area?

The Waterline length of vessel given expanded or developed blade Area is defined as the length of the ship measured at the waterline, which is the line where the hull of the ship meets the water surface and is represented as l_wl = (A_p*0.838*A_r)/B or Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam. Expanded or Developed Blade Area of a Propeller refers to the surface area of the propeller blades when they are "unwrapped" and laid flat on a plane, Area Ratio is a parameter used to describe the proportion of a specific area relative to another reference area & Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point.

How to calculate Waterline Length of Vessel given Expanded or Developed Blade Area?

The Waterline length of vessel given expanded or developed blade Area is defined as the length of the ship measured at the waterline, which is the line where the hull of the ship meets the water surface is calculated using Waterline Length of a Vessel = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Vessel Beam. To calculate Waterline Length of Vessel given Expanded or Developed Blade Area, you need Expanded or Developed Blade Area of a Propeller (A_p), Area Ratio (A_r) & Vessel Beam (B). With our tool, you need to enter the respective value for Expanded or Developed Blade Area of a Propeller, Area Ratio & Vessel Beam and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Waterline Length of a Vessel?

In this formula, Waterline Length of a Vessel uses Expanded or Developed Blade Area of a Propeller, Area Ratio & Vessel Beam. We can use 4 other way(s) to calculate the same, which is/are as follows -

Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)
Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel
Waterline Length of a Vessel = (Wetted Surface Area of Vessel-(35*Displacement of a Vessel/Draft in Vessel))/1.7*Draft in Vessel
Waterline Length of a Vessel = (Reynolds Number*Kinematic Viscosity in Stokes)/Average Current Speed*cos(Angle of the Current)

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