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Area of Cross Section for Force Exerted by Jet with relative velocity Formula

GoArea of Cross Section for Mass of Fluid Striking moving Vane per Second Formula

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

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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

A Jet = \frac{F \cdot G}{(1 + a \cdot \cos (θ)) \cdot γ f \cdot V absolute \cdot (V absolute - v)}

A_Jet - Cross Sectional Area of Jet?F - Force exerted by Jet?G - Specific Gravity of Fluid?a - Numerical Coefficient a?θ - Theta?γ_f - Specific Weight of Liquid?V_absolute - Absolute Velocity of Issuing Jet?v - Velocity of Jet?

Area of Cross Section for Force Exerted by Jet with relative velocity Example

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Here is how the Area of Cross Section for Force Exerted by Jet with relative velocity equation looks like with Values.

Here is how the Area of Cross Section for Force Exerted by Jet with relative velocity equation looks like with Units.

Here is how the Area of Cross Section for Force Exerted by Jet with relative velocity equation looks like.

0.3283 = \frac{2.5 \cdot 10}{(1 + 1.01 \cdot \cos (30)) \cdot 9.81 \cdot 10.1 \cdot (10.1 - 9.69)}

0.3283m² = \frac{2.5N \cdot 10}{(1 + 1.01 \cdot \cos (30°)) \cdot 9.81kN/m³ \cdot 10.1m/s \cdot (10.1m/s - 9.69m/s)}

0.3283 = \frac{2.5 \cdot 10}{(1 + 1.01 \cdot \cos (30)) \cdot 9.81 \cdot 10.1 \cdot (10.1 - 9.69)}

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Area of Cross Section for Force Exerted by Jet with relative velocity Solution

Follow our step by step solution on how to calculate Area of Cross Section for Force Exerted by Jet with relative velocity?

FIRST Step Consider the formula

A Jet = \frac{F \cdot G}{(1 + a \cdot \cos (θ)) \cdot γ f \cdot V absolute \cdot (V absolute - v)}

Next Step Substitute values of Variables

∴

A Jet = \frac{2.5N \cdot 10}{(1 + 1.01 \cdot \cos (30°)) \cdot 9.81kN/m³ \cdot 10.1m/s \cdot (10.1m/s - 9.69m/s)}

Next Step Convert Units

∴

A Jet = \frac{2.5N \cdot 10}{(1 + 1.01 \cdot \cos (0.5236rad)) \cdot 9.81kN/m³ \cdot 10.1m/s \cdot (10.1m/s - 9.69m/s)}

Next Step Prepare to Evaluate

∴

A Jet = \frac{2.5 \cdot 10}{(1 + 1.01 \cdot \cos (0.5236)) \cdot 9.81 \cdot 10.1 \cdot (10.1 - 9.69)}

Next Step Evaluate

∴

A Jet = 0.328274625030831m²

LAST Step Rounding Answer

∴

A Jet = 0.3283m²

Area of Cross Section for Force Exerted by Jet with relative velocity 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: A_Jet

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Jet

Force exerted by Jet

Force exerted by Jet on the surface is equal and opposite to this force.

Symbol: F

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Force exerted by Jet

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.

Symbol: G

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Specific Gravity of Fluid

Numerical Coefficient a

Numerical Coefficient a is a constant multiplier of the variables in a term.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Numerical Coefficient a

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.

Formulas to find Theta

Specific Weight of Liquid

The Specific Weight of Liquid refers to the weight per unit volume of that substance.

Symbol: γ_f

Measurement: Specific WeightUnit: kN/m³

Note: Value should be greater than 0.

Formulas to find Specific Weight of Liquid

Absolute Velocity of Issuing Jet

Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

Symbol: V_absolute

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Absolute Velocity of Issuing Jet

Velocity of Jet

Velocity of Jet can be described as the movement of the plate in meters per second.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity of Jet

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Cross Sectional Area of Jet

Go Area of Cross Section for Mass of Fluid Striking moving Vane per Second

A Jet = \frac{m f \cdot G}{γ f \cdot (V absolute - v)}

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

A Jet = \frac{w \cdot G}{γ f \cdot {(V absolute - v)}^{2} \cdot (1 + \cos (θ)) \cdot v}

How to Evaluate Area of Cross Section for Force Exerted by Jet with relative velocity?

Area of Cross Section for Force Exerted by Jet with relative velocity evaluator uses 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)) to evaluate the Cross Sectional Area of Jet, The Area of Cross Section for Force Exerted by Jet with relative velocity is 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 A_Jet symbol.

How to evaluate Area of Cross Section for Force Exerted by Jet with relative velocity using this online evaluator? To use this online evaluator for Area of Cross Section for Force Exerted by Jet with relative velocity, enter Force exerted by Jet (F), Specific Gravity of Fluid (G), Numerical Coefficient a (a), Theta (θ), Specific Weight of Liquid (γ_f), Absolute Velocity of Issuing Jet (V_absolute) & Velocity of Jet (v) and hit the calculate button.

FAQs on Area of Cross Section for Force Exerted by Jet with relative velocity

What is the formula to find Area of Cross Section for Force Exerted by Jet with relative velocity?

The formula of Area of Cross Section for Force Exerted by Jet with relative velocity is expressed as 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)). Here is an example- 0.438511 = (2.5*10)/((1+1.01*cos(0.5235987755982))*9810*10.1*(10.1-9.69)).

How to calculate Area of Cross Section for Force Exerted by Jet with relative velocity?

With Force exerted by Jet (F), Specific Gravity of Fluid (G), Numerical Coefficient a (a), Theta (θ), Specific Weight of Liquid (γ_f), Absolute Velocity of Issuing Jet (V_absolute) & Velocity of Jet (v) we can find Area of Cross Section for Force Exerted by Jet with relative velocity using the formula - 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)). This formula also uses Cosine 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=(Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet))
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)
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))

Can the Area of Cross Section for Force Exerted by Jet with relative velocity be negative?

No, the Area of Cross Section for Force Exerted by Jet with relative velocity, measured in Area cannot be negative.

Which unit is used to measure Area of Cross Section for Force Exerted by Jet with relative velocity?

Area of Cross Section for Force Exerted by Jet with relative velocity 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 Force Exerted by Jet with relative velocity can be measured.

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Area of Cross Section for Force Exerted by Jet with relative velocity Formula

​GoArea of Cross Section for Mass of Fluid Striking moving Vane per Second Formula

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

Area of Cross Section for Force Exerted by Jet with relative velocity Example

Area of Cross Section for Force Exerted by Jet with relative velocity Solution

Area of Cross Section for Force Exerted by Jet with relative velocity Formula Elements

Other Formulas to find Cross Sectional Area of Jet

How to Evaluate Area of Cross Section for Force Exerted by Jet with relative velocity?

FAQs on Area of Cross Section for Force Exerted by Jet with relative velocity

Variable Name

GoArea of Cross Section for Mass of Fluid Striking moving Vane per Second Formula

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