Expanded or Developed Blade Area of Propeller given Propeller Drag Solution

STEP 0: Pre-Calculation Summary
Formula Used
Expanded or Developed blade area of a propeller = Vessel Propeller Drag/(0.5*Water Density*Propeller Drag Coefficient*Average Current Speed^2*cos(Angle of the Current))
Ap = Fc, prop/(0.5*ρwater*Cc, prop*Vc^2*cos(θc))
This formula uses 1 Functions, 6 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)
Variables Used
Expanded or Developed blade area of a propeller - (Measured in Square Meter) - Expanded or Developed blade area of a propeller [length^2] Propeller is a mechanical device for propelling a boat or aircraft, consisting of revolving shaft with angled blades attached to it.
Vessel Propeller Drag - (Measured in Newton) - Vessel Propeller Drag [Force]. The incremental drag due to slipstream of running propeller is shown to decrease with air speed and increase with propeller pitch angles.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Propeller Drag Coefficient - Propeller Drag Coefficient [dimensionless] is used to quantify the drag or resistance of an object in a fluid environment, such as air or water.
Average Current Speed - (Measured in Meter per Second) - Average Current Speed [length/time] defined as the speed of Ocean currents that are continuous, predictable, directional movement of seawater.
Angle of the Current - Angle of the Current Relative to the Longitudinal Axis of the Vessel.
STEP 1: Convert Input(s) to Base Unit
Vessel Propeller Drag: 54 Newton --> 54 Newton No Conversion Required
Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Propeller Drag Coefficient: 2 --> No Conversion Required
Average Current Speed: 25 Meter per Hour --> 0.00694444444444444 Meter per Second (Check conversion here)
Angle of the Current: 20 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Ap = Fc, prop/(0.5*ρwater*Cc, prop*Vc^2*cos(θc)) --> 54/(0.5*1000*2*0.00694444444444444^2*cos(20))
Evaluating ... ...
Ap = 2743.91869866615
STEP 3: Convert Result to Output's Unit
2743.91869866615 Square Meter --> No Conversion Required
FINAL ANSWER
2743.91869866615 2743.919 Square Meter <-- Expanded or Developed blade area of a propeller
(Calculation completed in 00.020 seconds)

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Coorg Institute of Technology (CIT), Coorg
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3 Propeller Drag Calculators

Propeller Drag Coefficient given Propeller Drag
Go Propeller Drag Coefficient = Vessel Propeller Drag/(-0.5*Water Density*Expanded or Developed blade area of a propeller*Average Current Speed^2*cos(Angle of the Current))
Expanded or Developed Blade Area of Propeller given Propeller Drag
Go Expanded or Developed blade area of a propeller = Vessel Propeller Drag/(0.5*Water Density*Propeller Drag Coefficient*Average Current Speed^2*cos(Angle of the Current))
Propeller Drag due to Form Drag of Propeller with Locked Shaft
Go Vessel Propeller Drag = -0.5*Water Density*Propeller Drag Coefficient*Expanded or Developed blade area of a propeller*Average Current Speed^2*cos(Angle of the Current)

Expanded or Developed Blade Area of Propeller given Propeller Drag Formula

Expanded or Developed blade area of a propeller = Vessel Propeller Drag/(0.5*Water Density*Propeller Drag Coefficient*Average Current Speed^2*cos(Angle of the Current))
Ap = Fc, prop/(0.5*ρwater*Cc, prop*Vc^2*cos(θc))

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 Expanded or Developed Blade Area of Propeller given Propeller Drag?

Expanded or Developed Blade Area of Propeller given Propeller Drag calculator uses Expanded or Developed blade area of a propeller = Vessel Propeller Drag/(0.5*Water Density*Propeller Drag Coefficient*Average Current Speed^2*cos(Angle of the Current)) to calculate the Expanded or Developed blade area of a propeller, The Expanded or developed blade area of propeller given propeller drag is defined as a parameter influencing the propeller drag due to the form drag of the propeller with a locked shaft. Expanded or Developed blade area of a propeller is denoted by Ap symbol.

How to calculate Expanded or Developed Blade Area of Propeller given Propeller Drag using this online calculator? To use this online calculator for Expanded or Developed Blade Area of Propeller given Propeller Drag, enter Vessel Propeller Drag (Fc, prop), Water Density water), Propeller Drag Coefficient (Cc, prop), Average Current Speed (Vc) & Angle of the Current c) and hit the calculate button. Here is how the Expanded or Developed Blade Area of Propeller given Propeller Drag calculation can be explained with given input values -> 2743.919 = 54/(0.5*1000*2*0.00694444444444444^2*cos(20)).

FAQ

What is Expanded or Developed Blade Area of Propeller given Propeller Drag?
The Expanded or developed blade area of propeller given propeller drag is defined as a parameter influencing the propeller drag due to the form drag of the propeller with a locked shaft and is represented as Ap = Fc, prop/(0.5*ρwater*Cc, prop*Vc^2*cos(θc)) or Expanded or Developed blade area of a propeller = Vessel Propeller Drag/(0.5*Water Density*Propeller Drag Coefficient*Average Current Speed^2*cos(Angle of the Current)). Vessel Propeller Drag [Force]. The incremental drag due to slipstream of running propeller is shown to decrease with air speed and increase with propeller pitch angles, Water Density is mass per unit of water, Propeller Drag Coefficient [dimensionless] is used to quantify the drag or resistance of an object in a fluid environment, such as air or water, Average Current Speed [length/time] defined as the speed of Ocean currents that are continuous, predictable, directional movement of seawater & Angle of the Current Relative to the Longitudinal Axis of the Vessel.
How to calculate Expanded or Developed Blade Area of Propeller given Propeller Drag?
The Expanded or developed blade area of propeller given propeller drag is defined as a parameter influencing the propeller drag due to the form drag of the propeller with a locked shaft is calculated using Expanded or Developed blade area of a propeller = Vessel Propeller Drag/(0.5*Water Density*Propeller Drag Coefficient*Average Current Speed^2*cos(Angle of the Current)). To calculate Expanded or Developed Blade Area of Propeller given Propeller Drag, you need Vessel Propeller Drag (Fc, prop), Water Density water), Propeller Drag Coefficient (Cc, prop), Average Current Speed (Vc) & Angle of the Current c). With our tool, you need to enter the respective value for Vessel Propeller Drag, Water Density, Propeller Drag Coefficient, Average Current Speed & Angle of the Current 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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