Area of Cross Section for work done by Jet on vane per second Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Area of Jet = (Work Done*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta))*Velocity of Jet)
AJet = (w*G)/(γf*(Vabsolute-v)^2*(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
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.
Work Done - (Measured in Kilojoule) - Work done by/on a system is energy transferred by/to the system to/from its surroundings.
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.
Specific Weight of Liquid - (Measured in Kilonewton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
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.
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
Work Done: 3.9 Kilojoule --> 3.9 Kilojoule No Conversion Required
Specific Gravity of Fluid: 10 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic 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
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AJet = (w*G)/(γf*(Vabsolute-v)^2*(1+cos(θ))*v) --> (3.9*10)/(9.81*(10.1-9.69)^2*(1+cos(0.5235987755982))*9.69)
Evaluating ... ...
AJet = 1.30793619184557
STEP 3: Convert Result to Output's Unit
1.30793619184557 Square Meter --> No Conversion Required
FINAL ANSWER
1.30793619184557 1.307936 Square Meter <-- Cross Sectional Area of Jet
(Calculation completed in 00.020 seconds)

Credits

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Created by M Naveen
National Institute of Technology (NIT), Warangal
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Verified by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Area of Cross Section Calculators

Area of Cross Section for Force Exerted by Jet with relative velocity
​ LaTeX ​ Go Cross Sectional Area of Jet = (Force exerted by Jet*Specific Gravity of Fluid)/((1+Numerical Coefficient a*cos(Theta))*Specific Weight of Liquid*Absolute Velocity of Issuing Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet))
Area of Cross Section for Force Exerted by Jet in Direction of Flow
​ LaTeX ​ Go Cross Sectional Area of Jet = (Force exerted by Jet*Specific Gravity of Fluid)/((1+cos(Theta))*Specific Weight of Liquid*Absolute Velocity of Issuing Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet))
Area of Cross Section for work done by Jet on vane per second
​ LaTeX ​ Go Cross Sectional Area of Jet = (Work Done*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta))*Velocity of Jet)
Area of Cross Section for Mass of Fluid Striking moving Vane per Second
​ LaTeX ​ Go Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet))

Area of Cross Section for work done by Jet on vane per second Formula

​LaTeX ​Go
Cross Sectional Area of Jet = (Work Done*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta))*Velocity of Jet)
AJet = (w*G)/(γf*(Vabsolute-v)^2*(1+cos(θ))*v)

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 Area of Cross Section for work done by Jet on vane per second?

Area of Cross Section for work done by Jet on vane per second calculator uses Cross Sectional Area of Jet = (Work Done*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta))*Velocity of Jet) to calculate the Cross Sectional Area of Jet, The Area of Cross Section for work done by Jet on vane per second is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder. Cross Sectional Area of Jet is denoted by AJet symbol.

How to calculate Area of Cross Section for work done by Jet on vane per second using this online calculator? To use this online calculator for Area of Cross Section for work done by Jet on vane per second, enter Work Done (w), Specific Gravity of Fluid (G), Specific Weight of Liquid f), Absolute Velocity of Issuing Jet (Vabsolute), Velocity of Jet (v) & Theta (θ) and hit the calculate button. Here is how the Area of Cross Section for work done by Jet on vane per second calculation can be explained with given input values -> 2.287868 = (3900*10)/(9810*(10.1-9.69)^2*(1+cos(0.5235987755982))*9.69).

FAQ

What is Area of Cross Section for work done by Jet on vane per second?
The Area of Cross Section for work done by Jet on vane per second is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder and is represented as AJet = (w*G)/(γf*(Vabsolute-v)^2*(1+cos(θ))*v) or Cross Sectional Area of Jet = (Work Done*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta))*Velocity of Jet). Work done by/on a system is energy transferred by/to the system to/from its surroundings, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid, The Specific Weight of Liquid refers to the weight per unit volume of that substance, 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 & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Area of Cross Section for work done by Jet on vane per second?
The Area of Cross Section for work done by Jet on vane per second is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder is calculated using Cross Sectional Area of Jet = (Work Done*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta))*Velocity of Jet). To calculate Area of Cross Section for work done by Jet on vane per second, you need Work Done (w), Specific Gravity of Fluid (G), Specific Weight of Liquid f), Absolute Velocity of Issuing Jet (Vabsolute), Velocity of Jet (v) & Theta (θ). With our tool, you need to enter the respective value for Work Done, Specific Gravity of Fluid, Specific Weight of Liquid, Absolute Velocity of Issuing Jet, Velocity of Jet & 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 Cross Sectional Area of Jet?
In this formula, Cross Sectional Area of Jet uses Work Done, Specific Gravity of Fluid, Specific Weight of Liquid, Absolute Velocity of Issuing Jet, Velocity of Jet & Theta. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet))
  • Cross Sectional Area of Jet = (Force exerted by Jet*Specific Gravity of Fluid)/((1+cos(Theta))*Specific Weight of Liquid*Absolute Velocity of Issuing Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet))
  • Cross Sectional Area of Jet = (Force exerted by Jet*Specific Gravity of Fluid)/((1+Numerical Coefficient a*cos(Theta))*Specific Weight of Liquid*Absolute Velocity of Issuing Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet))
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