Work Done by Jet on Vane per Second Calculator

✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.ⓘ Cross Sectional Area of Jet [A_Jet]			+10% -10%
✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [V_absolute]			+10% -10%
✖Velocity of Jet can be described as the movement of the plate in meters per second.ⓘ Velocity of Jet [v]			+10% -10%
✖Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.ⓘ Specific Gravity of Fluid [G]			+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%

✖Work done by/on a system is energy transferred by/to the system to/from its surroundings.ⓘ Work Done by Jet on Vane per Second [w]

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Formula

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Work Done by Jet on Vane per Second

Formula

`"w" = (("γ"_{"f"}*"A"_{"Jet"}*("V"_{"absolute"}-"v")^2)/ "G")*(1+cos("θ"))*"v"`

Example

`"3.578156KJ"= (("9.81kN/m³"*"1.2m²"*("10.1m/s"-"9.69m/s")^2)/ "10")*(1+cos("30°"))*"9.69m/s"`

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Download Force Exerted by Fluid Jet on Moving Curved Vane Formulas PDF

Work Done by Jet on Vane per Second Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
w = ((γ_f*A_Jet*(V_absolute-v)^2)/ G)*(1+cos(θ))*v
This formula uses 1 Functions, 7 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

Work Done - (Measured in Kilojoule) - Work done by/on a system is energy transferred by/to the system to/from its surroundings.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
Cross Sectional Area of Jet - (Measured in Square Meter) - Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Specific Gravity of Fluid - Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.
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

Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Cross Sectional Area of Jet: 1.2 Square Meter --> 1.2 Square Meter No Conversion Required
Absolute Velocity of Issuing Jet: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Velocity of Jet: 9.69 Meter per Second --> 9.69 Meter per Second No Conversion Required
Specific Gravity of Fluid: 10 --> No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = ((γ_f*A_Jet*(V_absolute-v)^2)/ G)*(1+cos(θ))*v --> ((9.81*1.2*(10.1-9.69)^2)/ 10)*(1+cos(0.5235987755982))*9.69

Evaluating ... ...

w = 3.57815620454409

STEP 3: Convert Result to Output's Unit

3578.15620454409 Joule -->3.57815620454409 Kilojoule (Check conversion here)

FINAL ANSWER

3.57815620454409 ≈ 3.578156 Kilojoule <-- Work Done

(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 » Work Done by Jet on Vane per Second

Credits

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

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 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)

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))

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

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))

Work Done by Jet on Vane per Second 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 Work Done by Jet on Vane per Second?

Work Done by Jet on Vane per Second calculator uses 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 to calculate the Work Done, The Work Done by Jet on Vane per Second is defined as a quantity of energy transferred by force to move an object is termed as work done. Work Done is denoted by w symbol.

How to calculate Work Done by Jet on Vane per Second using this online calculator? To use this online calculator for Work Done by Jet on Vane per Second, enter Specific Weight of Liquid (γ_f), Cross Sectional Area of Jet (A_Jet), Absolute Velocity of Issuing Jet (V_absolute), Velocity of Jet (v), Specific Gravity of Fluid (G) & Theta (θ) and hit the calculate button. Here is how the Work Done by Jet on Vane per Second calculation can be explained with given input values -> 0.002046 = ((9810*1.2*(10.1-9.69)^2)/ 10)*(1+cos(0.5235987755982))*9.69.

FAQ

What is Work Done by Jet on Vane per Second?

The Work Done by Jet on Vane per Second is defined as a quantity of energy transferred by force to move an object is termed as work done and is represented as w = ((γ_f*A_Jet*(V_absolute-v)^2)/ G)*(1+cos(θ))*v or 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. Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller, Velocity of Jet can be described as the movement of the plate in meters per second, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.

How to calculate Work Done by Jet on Vane per Second?

The Work Done by Jet on Vane per Second is defined as a quantity of energy transferred by force to move an object is termed as work done is calculated using 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. To calculate Work Done by Jet on Vane per Second, you need Specific Weight of Liquid (γ_f), Cross Sectional Area of Jet (A_Jet), Absolute Velocity of Issuing Jet (V_absolute), Velocity of Jet (v), Specific Gravity of Fluid (G) & Theta (θ). With our tool, you need to enter the respective value for Specific Weight of Liquid, Cross Sectional Area of Jet, Absolute Velocity of Issuing Jet, Velocity of Jet, Specific Gravity of Fluid & Theta 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 Work Done?

In this formula, Work Done uses Specific Weight of Liquid, Cross Sectional Area of Jet, Absolute Velocity of Issuing Jet, Velocity of Jet, Specific Gravity of Fluid & Theta. We can use 1 other way(s) to calculate the same, which is/are as follows -

Work Done = Efficiency of Jet*Kinetic Energy

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