Efficiency of Jet Calculator

✖Velocity of Jet can be described as the movement of the plate in meters per second.ⓘ Velocity of Jet [v]			+10% -10%
✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [V_absolute]			+10% -10%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+10% -10%

✖Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.ⓘ Efficiency of Jet [η]

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Formula

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Efficiency of Jet

Formula

`"η" = ((2*"v")*("V"_{"absolute"}-"v")^2*(1+cos("θ")))*100/("V"_{"absolute"}^3)`

Example

`"0.590031"=((2*"9.69m/s")*("10.1m/s"-"9.69m/s")^2*(1+cos("30°")))*100/(("10.1m/s")^3)`

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Efficiency of Jet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Efficiency of Jet = ((2*Velocity of Jet)*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta)))*100/(Absolute Velocity of Issuing Jet^3)
η = ((2*v)*(V_absolute-v)^2*(1+cos(θ)))*100/(V_absolute^3)
This formula uses 1 Functions, 4 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

Efficiency of Jet - Efficiency of Jet is an electric motor is defined as the ratio of usable shaft power to electric input power.
Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

STEP 1: Convert Input(s) to Base Unit

Velocity of Jet: 9.69 Meter per Second --> 9.69 Meter per Second No Conversion Required
Absolute Velocity of Issuing Jet: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

η = ((2*v)*(V_absolute-v)^2*(1+cos(θ)))*100/(V_absolute^3) --> ((2*9.69)*(10.1-9.69)^2*(1+cos(0.5235987755982)))*100/(10.1^3)

Evaluating ... ...

η = 0.590031117885944

STEP 3: Convert Result to Output's Unit

0.590031117885944 --> No Conversion Required

FINAL ANSWER

0.590031117885944 ≈ 0.590031 <-- Efficiency of Jet

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Impact of Free Jets » Force Exerted by Fluid Jet on Moving Curved Vane » Jet Striking a Symmetrical Moving Curved Vane at Centre » Efficiency of Jet

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Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 10+ Jet Striking a Symmetrical Moving Curved Vane at Centre Calculators

Velocity of Vane given Exerted Force by Jet

Go Velocity of Jet = -(sqrt((Force exerted by Jet*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))-Absolute Velocity of Issuing Jet)

Work Done by Jet on Vane per Second

Go Work Done = ((Specific Weight of Liquid*Cross Sectional Area of Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2)/Specific Gravity of Fluid)*(1+cos(Theta))*Velocity of Jet

Absolute Velocity for Force Exerted by Jet in Direction of Flow of Incoming Jet

Go Absolute Velocity of Issuing Jet = (sqrt(Force exerted by Jet*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))+Velocity of Jet

Efficiency of Jet

Go Efficiency of Jet = ((2*Velocity of Jet)*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta)))*100/(Absolute Velocity of Issuing Jet^3)

Absolute Velocity for Mass of Fluid Striking Vane per Second

Go Absolute Velocity of Issuing Jet = ((Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet))+Velocity of Jet

Velocity of Vane for given Mass of Fluid

Go Velocity of Jet = Absolute Velocity of Issuing Jet-((Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet))

Mass of Fluid Striking Vane per Seconds

Go Fluid Mass = (Specific Weight of Liquid*Cross Sectional Area of Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet))/Specific Gravity of Fluid

Kinetic Energy of Jet per Second

Go Kinetic Energy = (Cross Sectional Area of Jet*Fluid Jet Velocity^3)/(2)

Work Done per Second given Efficiency of Wheel

Go Work Done = Efficiency of Jet*Kinetic Energy

Maximum Efficiency

Go Maximum Efficiency = (1/2)*(1+cos(Theta))

Efficiency of Jet Formula

What is meant by Velocity?

The Velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

How to Calculate Efficiency of Jet?

Efficiency of Jet calculator uses Efficiency of Jet = ((2*Velocity of Jet)*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta)))*100/(Absolute Velocity of Issuing Jet^3) to calculate the Efficiency of Jet, The Efficiency of Jet is defined as the peak level of performance that uses least amount of inputs to achieve highest amount of output. Efficiency of Jet is denoted by η symbol.

How to calculate Efficiency of Jet using this online calculator? To use this online calculator for Efficiency of Jet, enter Velocity of Jet (v), Absolute Velocity of Issuing Jet (V_absolute) & Theta (θ) and hit the calculate button. Here is how the Efficiency of Jet calculation can be explained with given input values -> 0.347532 = ((2*9.69)*(10.1-9.69)^2*(1+cos(0.5235987755982)))*100/(10.1^3).

FAQ

What is Efficiency of Jet?

The Efficiency of Jet is defined as the peak level of performance that uses least amount of inputs to achieve highest amount of output and is represented as η = ((2*v)*(V_absolute-v)^2*(1+cos(θ)))*100/(V_absolute^3) or Efficiency of Jet = ((2*Velocity of Jet)*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta)))*100/(Absolute Velocity of Issuing Jet^3). Velocity of Jet can be described as the movement of the plate in meters per second, Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Efficiency of Jet?

The Efficiency of Jet is defined as the peak level of performance that uses least amount of inputs to achieve highest amount of output is calculated using Efficiency of Jet = ((2*Velocity of Jet)*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta)))*100/(Absolute Velocity of Issuing Jet^3). To calculate Efficiency of Jet, you need Velocity of Jet (v), Absolute Velocity of Issuing Jet (V_absolute) & Theta (θ). With our tool, you need to enter the respective value for Velocity of Jet, Absolute Velocity of Issuing Jet & Theta 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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