Cross Sectional Area for given Normal Thrust Normal to Direction of Jet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta))
AJet = (Ft*G)/(γf*(Vabsolute-v)^2*(∠D*(180/pi))*cos(θ))
This formula uses 1 Constants, 1 Functions, 8 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.
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 Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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.
Angle between Jet and Plate - (Measured in Radian) - Angle between Jet and Plate is the space between two intersecting lines or surfaces at or close to the point where they meet.
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
Thrust Force: 0.5 Kilonewton --> 500 Newton (Check conversion here)
Specific Gravity of Fluid: 10 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion here)
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
Angle between Jet and Plate: 11 Degree --> 0.19198621771934 Radian (Check conversion here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AJet = (Ft*G)/(γf*(Vabsolute-v)^2*(∠D*(180/pi))*cos(θ)) --> (500*10)/(9810*(10.1-9.69)^2*(0.19198621771934*(180/pi))*cos(0.5235987755982))
Evaluating ... ...
AJet = 0.318280452379613
STEP 3: Convert Result to Output's Unit
0.318280452379613 Square Meter --> No Conversion Required
FINAL ANSWER
0.318280452379613 0.31828 Square Meter <-- Cross Sectional Area of Jet
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
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4 Cross Sectional Area Calculators

Cross Sectional Area for given Normal Thrust Normal to Direction of Jet
Go Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta))
Cross Sectional Area for given Work Done by Jet per Second
Go Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2*Jet Velocity*Angle between Jet and Plate^2)
Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate
Go Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Angle between Jet and Plate*(180/pi))*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2)
Cross Section Area for Mass of Fluid Striking Plate
Go 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 for given Normal Thrust Normal to Direction of Jet Formula

Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta))
AJet = (Ft*G)/(γf*(Vabsolute-v)^2*(∠D*(180/pi))*cos(θ))

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 Cross Sectional Area for given Normal Thrust Normal to Direction of Jet?

Cross Sectional Area for given Normal Thrust Normal to Direction of Jet calculator uses Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta)) to calculate the Cross Sectional Area of Jet, The Cross Sectional Area for given Normal Thrust Normal to Direction of Jet 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 Cross Sectional Area for given Normal Thrust Normal to Direction of Jet using this online calculator? To use this online calculator for Cross Sectional Area for given Normal Thrust Normal to Direction of Jet, enter Thrust Force (Ft), Specific Gravity of Fluid (G), Specific Weight of Liquid f), Absolute Velocity of Issuing Jet (Vabsolute), Velocity of Jet (v), Angle between Jet and Plate (∠D) & Theta (θ) and hit the calculate button. Here is how the Cross Sectional Area for given Normal Thrust Normal to Direction of Jet calculation can be explained with given input values -> 0.556742 = (500*10)/(9810*(10.1-9.69)^2*(0.19198621771934*(180/pi))*cos(0.5235987755982)).

FAQ

What is Cross Sectional Area for given Normal Thrust Normal to Direction of Jet?
The Cross Sectional Area for given Normal Thrust Normal to Direction of Jet 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 = (Ft*G)/(γf*(Vabsolute-v)^2*(∠D*(180/pi))*cos(θ)) or Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta)). Thrust Force acting perpendicular to the job piece, 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 represents the force exerted by gravity on a unit volume of a fluid, 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, Angle between Jet and Plate is the space between two intersecting lines or surfaces at or close to the point where they meet & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Cross Sectional Area for given Normal Thrust Normal to Direction of Jet?
The Cross Sectional Area for given Normal Thrust Normal to Direction of Jet 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 = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta)). To calculate Cross Sectional Area for given Normal Thrust Normal to Direction of Jet, you need Thrust Force (Ft), Specific Gravity of Fluid (G), Specific Weight of Liquid f), Absolute Velocity of Issuing Jet (Vabsolute), Velocity of Jet (v), Angle between Jet and Plate (∠D) & Theta (θ). With our tool, you need to enter the respective value for Thrust Force, Specific Gravity of Fluid, Specific Weight of Liquid, Absolute Velocity of Issuing Jet, Velocity of Jet, Angle between Jet and Plate & 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 Thrust Force, Specific Gravity of Fluid, Specific Weight of Liquid, Absolute Velocity of Issuing Jet, Velocity of Jet, Angle between Jet and Plate & 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 = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Angle between Jet and Plate*(180/pi))*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2)
  • Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2*Jet Velocity*Angle between Jet and Plate^2)
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