Output Power given Rate of Flow through Propeller Calculator

✖Water Density is mass per unit of water.ⓘ Water Density [ρ_Water]			+10% -10%
✖Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.ⓘ Rate of Flow [q_flow]			+10% -10%
✖Flow Velocity is the velocity of the flow of any fluid.ⓘ Flow Velocity [V_f]			+10% -10%
✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [V]			+10% -10%

✖Output Power is the power supplied by the electrical machine to the load connected across it.ⓘ Output Power given Rate of Flow through Propeller [P_out]

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Formula

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Output Power given Rate of Flow through Propeller

Formula

`"P"_{"out"} = "ρ"_{"Water"}*"q"_{"flow"}*"V"_{"f"}*("V"-"V"_{"f"})`

Example

`"120000W"="1000kg/m³"*"24m³/s"*"5m/s"*("6m/s"-"5m/s")`

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Output Power given Rate of Flow through Propeller Solution

STEP 0: Pre-Calculation Summary

Formula Used

Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity)
P_out = ρ_Water*q_flow*V_f*(V-V_f)
This formula uses 5 Variables

Variables Used

Output Power - (Measured in Watt) - Output Power is the power supplied by the electrical machine to the load connected across it.
Water Density - (Measured in Kilogram per Cubic Meter) - Water Density is mass per unit of water.
Rate of Flow - (Measured in Cubic Meter per Second) - Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc.
Flow Velocity - (Measured in Meter per Second) - Flow Velocity is the velocity of the flow of any fluid.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

STEP 1: Convert Input(s) to Base Unit

Water Density: 1000 Kilogram per Cubic Meter --> 1000 Kilogram per Cubic Meter No Conversion Required
Rate of Flow: 24 Cubic Meter per Second --> 24 Cubic Meter per Second No Conversion Required
Flow Velocity: 5 Meter per Second --> 5 Meter per Second No Conversion Required
Absolute Velocity of Issuing Jet: 6 Meter per Second --> 6 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_out = ρ_Water*q_flow*V_f*(V-V_f) --> 1000*24*5*(6-5)

Evaluating ... ...

P_out = 120000

STEP 3: Convert Result to Output's Unit

120000 Watt --> No Conversion Required

FINAL ANSWER

120000 Watt <-- Output Power

(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

Output Power given Rate of Flow through Propeller Formula

Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity)
P_out = ρ_Water*q_flow*V_f*(V-V_f)

What is Power?

Power is the amount of energy transferred or converted per unit time. In the International System of Units, the unit of power is the watt, equal to one joule per second. In older works, power is sometimes called activity. Power is a scalar quantity.

How to Calculate Output Power given Rate of Flow through Propeller?

Output Power given Rate of Flow through Propeller calculator uses Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity) to calculate the Output Power, The Output Power given Rate of Flow through Propeller is defined as total power generated by propeller. Output Power is denoted by P_out symbol.

How to calculate Output Power given Rate of Flow through Propeller using this online calculator? To use this online calculator for Output Power given Rate of Flow through Propeller, enter Water Density (ρ_Water), Rate of Flow (q_flow), Flow Velocity (V_f) & Absolute Velocity of Issuing Jet (V) and hit the calculate button. Here is how the Output Power given Rate of Flow through Propeller calculation can be explained with given input values -> 120000 = 1000*24*5*(6-5).

FAQ

What is Output Power given Rate of Flow through Propeller?

The Output Power given Rate of Flow through Propeller is defined as total power generated by propeller and is represented as P_out = ρ_Water*q_flow*V_f*(V-V_f) or Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity). Water Density is mass per unit of water, Rate of Flow is the rate at which a liquid or other substance flows through a particular channel, pipe, etc, Flow Velocity is the velocity of the flow of any fluid & Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

How to calculate Output Power given Rate of Flow through Propeller?

The Output Power given Rate of Flow through Propeller is defined as total power generated by propeller is calculated using Output Power = Water Density*Rate of Flow*Flow Velocity*(Absolute Velocity of Issuing Jet-Flow Velocity). To calculate Output Power given Rate of Flow through Propeller, you need Water Density (ρ_Water), Rate of Flow (q_flow), Flow Velocity (V_f) & Absolute Velocity of Issuing Jet (V). With our tool, you need to enter the respective value for Water Density, Rate of Flow, Flow Velocity & Absolute Velocity of Issuing Jet 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 Output Power?

In this formula, Output Power uses Water Density, Rate of Flow, Flow Velocity & Absolute Velocity of Issuing Jet. We can use 1 other way(s) to calculate the same, which is/are as follows -

Output Power = Total Input Power-Power Loss

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