Diameter of Propeller given Thrust on Propeller Calculator

✖Thrust Force acting perpendicular to the job piece.ⓘ Thrust Force [Ft]			+10% -10%
✖Change in Pressure is defined as the difference between final pressure and initial pressure.ⓘ Change in Pressure [dP]			+10% -10%

✖Diameter of Turbine is a typical turbine with a 600 kW electrical generator will typically have a rotor diameter of some 44 meters.ⓘ Diameter of Propeller given Thrust on Propeller [D]

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Diameter of Propeller given Thrust on Propeller

Formula

`"D" = sqrt((4/pi)*"Ft"/"dP")`

Example

`"14.56731m"=sqrt((4/pi)*"0.5kN"/"3Pa")`

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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)

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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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