✖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%
✖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 a Vessel [l_wl]			+10% -10%

✖Vessel Beam refers to the width of a vessel, such as a ship or boat, measured at its widest point.ⓘ Vessel Beam given Expanded or Developed Blade Area of Propeller [B]

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Formula

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Vessel Beam given Expanded or Developed Blade Area of Propeller

Formula

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

Example

`"1.991967m"=("15m²"*0.838*"1.16")/"7.32m"`

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Vessel Beam given Expanded or Developed Blade Area of Propeller Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.

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
Waterline Length of a Vessel: 7.32 Meter --> 7.32 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (A_p*0.838*A_r)/l_wl --> (15*0.838*1.16)/7.32

Evaluating ... ...

B = 1.99196721311475

STEP 3: Convert Result to Output's Unit

1.99196721311475 Meter --> No Conversion Required

FINAL ANSWER

1.99196721311475 ≈ 1.991967 Meter <-- Vessel Beam

(Calculation completed in 00.004 seconds)

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Go Latitude of the Line = asin((pi*Shear Stress at the Water Surface/Velocity at the Surface)^2/(2*Depth of Frictional Influence*Water Density*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*Water Density*sin(Latitude of the Line))

Density of Water given Velocity at Surface

Go Water Density = (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*Water Density*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 for Mooring Forces*Kinematic Viscosity in Stokes)/(Average Current Speed*Waterline Length of a Vessel))

Kinematic Viscosity of Water given Reynolds Number

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

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)

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*Coefficient of Drag*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 Air Density = Drag Force/(0.5*Coefficient of Drag*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*Coefficient of Drag*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

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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

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

Vessel Beam given Expanded or Developed Blade Area of Propeller Formula

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

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 Vessel Beam given Expanded or Developed Blade Area of Propeller?

Vessel Beam given Expanded or Developed Blade Area of Propeller calculator uses Vessel Beam = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Waterline Length of a Vessel to calculate the Vessel Beam, The Vessel Beam given Expanded or Developed Blade Area of Propeller formula is defined as the vessel's beam (width) given the expanded or developed blade area of the propeller, we need to understand the relationship between the propeller dimensions and the vessel dimensions. This relationship isn't straightforward and typically involves empirical data and design principles rather than a direct formula. However, there are some guidelines and empirical relationships that can be used in the preliminary design stages. Vessel Beam is denoted by B symbol.

How to calculate Vessel Beam given Expanded or Developed Blade Area of Propeller using this online calculator? To use this online calculator for Vessel Beam given Expanded or Developed Blade Area of Propeller, enter Expanded or Developed Blade Area of a Propeller (A_p), Area Ratio (A_r) & Waterline Length of a Vessel (l_wl) and hit the calculate button. Here is how the Vessel Beam given Expanded or Developed Blade Area of Propeller calculation can be explained with given input values -> 1.991967 = (15*0.838*1.16)/7.32.

FAQ

What is Vessel Beam given Expanded or Developed Blade Area of Propeller?

The Vessel Beam given Expanded or Developed Blade Area of Propeller formula is defined as the vessel's beam (width) given the expanded or developed blade area of the propeller, we need to understand the relationship between the propeller dimensions and the vessel dimensions. This relationship isn't straightforward and typically involves empirical data and design principles rather than a direct formula. However, there are some guidelines and empirical relationships that can be used in the preliminary design stages and is represented as B = (A_p*0.838*A_r)/l_wl or Vessel Beam = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Waterline Length of a Vessel. 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 & Waterline Length of a Vessel is the length of a ship or boat at the level where it sits in the water.

How to calculate Vessel Beam given Expanded or Developed Blade Area of Propeller?

The Vessel Beam given Expanded or Developed Blade Area of Propeller formula is defined as the vessel's beam (width) given the expanded or developed blade area of the propeller, we need to understand the relationship between the propeller dimensions and the vessel dimensions. This relationship isn't straightforward and typically involves empirical data and design principles rather than a direct formula. However, there are some guidelines and empirical relationships that can be used in the preliminary design stages is calculated using Vessel Beam = (Expanded or Developed Blade Area of a Propeller*0.838*Area Ratio)/Waterline Length of a Vessel. To calculate Vessel Beam given Expanded or Developed Blade Area of Propeller, you need Expanded or Developed Blade Area of a Propeller (A_p), Area Ratio (A_r) & Waterline Length of a Vessel (l_wl). With our tool, you need to enter the respective value for Expanded or Developed Blade Area of a Propeller, Area Ratio & Waterline Length of a Vessel 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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