Diameter of Propeller given Thrust on Propeller Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure)
D = sqrt((4/pi)*Ft/dP)
This formula uses 1 Constants, 1 Functions, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diameter of Turbine - (Measured in Meter) - Diameter of Turbine is a typical turbine with a 600 kW electrical generator will typically have a rotor diameter of some 44 meters.
Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.
Change in Pressure - (Measured in Pascal) - Change in Pressure is defined as the difference between final pressure and initial pressure.
STEP 1: Convert Input(s) to Base Unit
Thrust Force: 0.5 Kilonewton --> 500 Newton (Check conversion here)
Change in Pressure: 3 Pascal --> 3 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
D = sqrt((4/pi)*Ft/dP) --> sqrt((4/pi)*500/3)
Evaluating ... ...
D = 14.5673124078944
STEP 3: Convert Result to Output's Unit
14.5673124078944 Meter --> No Conversion Required
FINAL ANSWER
14.5673124078944 14.56731 Meter <-- Diameter of Turbine
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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14 Momentum Theory of Propellers Calculators

Output Power given Rate of Flow through Propeller
Go Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity)
Flow Velocity given Power Lost
Go Flow Velocity = Absolute Velocity of Issuing Jet-sqrt((Power Loss/(Density of Fluid*Rate of Flow*0.5)))
Rate of Flow through Propeller
Go Rate of Flow through Propeller = (pi/8)*(Diameter of Turbine^2)*(Absolute Velocity of Issuing Jet+Flow Velocity)
Rate of Flow given Power Lost
Go Rate of Flow = Power Loss/Density of Fluid*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2
Power Lost
Go Power Loss = Density of Fluid*Rate of Flow*0.5*(Absolute Velocity of Issuing Jet-Flow Velocity)^2
Flow Velocity given Rate of Flow through Propeller
Go Flow Velocity = (8*Rate of Flow/(pi*Diameter of Turbine^2))-Absolute Velocity of Issuing Jet
Flow Velocity given Thrust on Propeller
Go Flow Velocity = -(Thrust Force/(Water Density*Rate of Flow))+Absolute Velocity of Issuing Jet
Diameter of Propeller given Thrust on Propeller
Go Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure)
Thrust on Propeller
Go Thrust Force = (pi/4)*(Diameter of Turbine^2)*Change in Pressure
Theoretical Propulsive Efficiency
Go Efficiency of Jet = 2/(1+(Absolute Velocity of Issuing Jet/Flow Velocity))
Flow Velocity given Theoretical Propulsive efficiency
Go Flow Velocity = Absolute Velocity of Issuing Jet/(2/Efficiency of Jet-1)
Output Power given Input Power
Go Output Power = Total Input Power-Power Loss
Power Lost given Input Power
Go Power Loss = Total Input Power-Output Power
Input Power
Go Total Input Power = Output Power+Power Loss

Diameter of Propeller given Thrust on Propeller Formula

Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure)
D = sqrt((4/pi)*Ft/dP)

What is Propeller?

A propeller is a device with a rotating hub and radiating blades that are set at a pitch to form a helical spiral, that, when rotated, performs an action which is similar to Archimedes' screw. It transforms rotational power into linear thrust by acting upon a working fluid, such as water or air.

How to Calculate Diameter of Propeller given Thrust on Propeller?

Diameter of Propeller given Thrust on Propeller calculator uses Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure) to calculate the Diameter of Turbine, The Diameter of Propeller given Thrust on Propeller formula is defined as diameter of a section in jet engine. Diameter of Turbine is denoted by D symbol.

How to calculate Diameter of Propeller given Thrust on Propeller using this online calculator? To use this online calculator for Diameter of Propeller given Thrust on Propeller, enter Thrust Force (Ft) & Change in Pressure (dP) and hit the calculate button. Here is how the Diameter of Propeller given Thrust on Propeller calculation can be explained with given input values -> 14.56731 = sqrt((4/pi)*500/3).

FAQ

What is Diameter of Propeller given Thrust on Propeller?
The Diameter of Propeller given Thrust on Propeller formula is defined as diameter of a section in jet engine and is represented as D = sqrt((4/pi)*Ft/dP) or Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure). Thrust Force acting perpendicular to the job piece & Change in Pressure is defined as the difference between final pressure and initial pressure.
How to calculate Diameter of Propeller given Thrust on Propeller?
The Diameter of Propeller given Thrust on Propeller formula is defined as diameter of a section in jet engine is calculated using Diameter of Turbine = sqrt((4/pi)*Thrust Force/Change in Pressure). To calculate Diameter of Propeller given Thrust on Propeller, you need Thrust Force (Ft) & Change in Pressure (dP). With our tool, you need to enter the respective value for Thrust Force & Change in Pressure 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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