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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. Check FAQs
AJet=Fy⋅gγf⋅vjet2⋅(sin(θ)-sin(∠D))
AJet - Cross Sectional Area of Jet?Fy - Force Exerted by Fluid Jet in Y?g - Acceleration due to Gravity?γf - Specific Weight of Liquid?vjet - Fluid Jet Velocity?θ - Theta?∠D - Angle between Jet and Plate?

Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction Example

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Here is how the Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction equation looks like with Values.

Here is how the Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction equation looks like with Units.

Here is how the Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction equation looks like.

1.2789Edit=57Edit⋅9.8Edit9.81Edit⋅12Edit2⋅(sin(30Edit)-sin(11Edit))
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Home » Engineering » Civil » Hydraulics and Waterworks » Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction

Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction Solution

Follow our step by step solution on how to calculate Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction?

FIRST Step Consider the formula
AJet=Fy⋅gγf⋅vjet2⋅(sin(θ)-sin(∠D))
Next Step Substitute values of Variables
∴ AJet=57N⋅9.8m/s²9.81kN/m³⋅12m/s2⋅(sin(30°)-sin(11°))
Next Step Convert Units
∴ AJet=57N⋅9.8m/s²9.81kN/m³⋅12m/s2⋅(sin(0.5236rad)-sin(0.192rad))
Next Step Prepare to Evaluate
∴ AJet=57⋅9.89.81⋅122⋅(sin(0.5236)-sin(0.192))
Next Step Evaluate
∴AJet=1.27891765151691m²
LAST Step Rounding Answer
∴AJet=1.2789m²

Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction Formula Elements

Variables
Functions
Cross Sectional Area of Jet
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.
Symbol: AJet
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Force Exerted by Fluid Jet in Y
Force Exerted by Fluid Jet in Y is the impact of jet on plates or vanes, its momentum is changed and a hydrodynamic force is exerted and liquid comes out from nozzle with a high velocity.
Symbol: Fy
Measurement: ForceUnit: N
Note: Value can be positive or negative.
Acceleration due to Gravity
The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Symbol: g
Measurement: AccelerationUnit: m/s²
Note: Value should be greater than 0.
Specific Weight of Liquid
The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Symbol: γf
Measurement: Specific WeightUnit: kN/m³
Note: Value should be greater than 0.
Fluid Jet Velocity
Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Symbol: vjet
Measurement: SpeedUnit: m/s
Note: Value should be greater than 0.
Theta
Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Symbol: θ
Measurement: AngleUnit: °
Note: Value can be positive or negative.
Angle between Jet and Plate
Angle between Jet and Plate is the space between two intersecting lines or surfaces at or close to the point where they meet.
Symbol: ∠D
Measurement: AngleUnit: °
Note: Value can be positive or negative.
sin
Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.
Syntax: sin(Angle)

Credits

Creator Image
Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Formula and 500+ more formulas!
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Formula and 2500+ more formulas!

Other Formulas to find Cross Sectional Area of Jet

​Go Area of Cross Section for Force Exerted by Jet on Vane in x Direction
AJet=Fx⋅gγf⋅vjet2⋅(cos(θ)+cos(∠D))

Other formulas in Jet Striking an Unsymmetrical Stationary Curved Vane Tangentially at one of the Tips category

​Go Force exerted by jet on vane in x direction
Fx=(γf⋅AJet⋅(vjet2)g)⋅(cos(θ)+cos(∠D))
​Go Specific weight for force exerted by jet on vane in x direction
γf=Fx⋅gAJet⋅(vjet2)⋅(cos(θ)+cos(∠D))

How to Evaluate Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction?

Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction evaluator uses Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in Y*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(sin(Theta)-sin(Angle between Jet and Plate))) to evaluate the Cross Sectional Area of Jet, The Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction is defined as 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 evaluate Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction using this online evaluator? To use this online evaluator for Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction, enter Force Exerted by Fluid Jet in Y (Fy), Acceleration due to Gravity (g), Specific Weight of Liquid (γf), Fluid Jet Velocity (vjet), Theta (θ) & Angle between Jet and Plate (∠D) and hit the calculate button.

FAQs on Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction

What is the formula to find Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction?
The formula of Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction is expressed as Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in Y*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(sin(Theta)-sin(Angle between Jet and Plate))). Here is an example- 0.001279 = (57*9.8)/(9810*12^2*(sin(0.5235987755982)-sin(0.19198621771934))).
How to calculate Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction?
With Force Exerted by Fluid Jet in Y (Fy), Acceleration due to Gravity (g), Specific Weight of Liquid (γf), Fluid Jet Velocity (vjet), Theta (θ) & Angle between Jet and Plate (∠D) we can find Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction using the formula - Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in Y*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(sin(Theta)-sin(Angle between Jet and Plate))). This formula also uses Sine (sin) function(s).
What are the other ways to Calculate Cross Sectional Area of Jet?
Here are the different ways to Calculate Cross Sectional Area of Jet-
  • Cross Sectional Area of Jet=(Force Exerted by Fluid Jet in X*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(cos(Theta)+cos(Angle between Jet and Plate)))
Can the Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction be negative?
No, the Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction, measured in Area cannot be negative.
Which unit is used to measure Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction?
Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction can be measured.
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