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Variation of y with x in Free Liquid Jet Formula

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The Length y is the vertical distance measured from a reference point to the location of a liquid jet in fluid mechanics applications. Check FAQs

y = x \cdot \tan (Θ) - \frac{g \cdot x^{2} \cdot \sec (Θ)}{2 \cdot {V o}^{2}}

y - Length y?x - Length x?Θ - Angle of Liquid Jet?g - Acceleration Due to Gravity?V_o - Initial Velocity of Liquid Jet?

Variation of y with x in Free Liquid Jet Example

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Here is how the Variation of y with x in Free Liquid Jet equation looks like with Values.

Here is how the Variation of y with x in Free Liquid Jet equation looks like with Units.

Here is how the Variation of y with x in Free Liquid Jet equation looks like.

0.1999 = 0.2 \cdot \tan (45) - \frac{9.8 \cdot {0.2}^{2} \cdot \sec (45)}{2 \cdot {51.2}^{2}}

0.1999m = 0.2m \cdot \tan (45°) - \frac{9.8m/s² \cdot {0.2m}^{2} \cdot \sec (45°)}{2 \cdot {51.2m/s}^{2}}

0.1999 = 0.2 \cdot \tan (45) - \frac{9.8 \cdot {0.2}^{2} \cdot \sec (45)}{2 \cdot {51.2}^{2}}

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Variation of y with x in Free Liquid Jet Solution

Follow our step by step solution on how to calculate Variation of y with x in Free Liquid Jet?

FIRST Step Consider the formula

y = x \cdot \tan (Θ) - \frac{g \cdot x^{2} \cdot \sec (Θ)}{2 \cdot {V o}^{2}}

Next Step Substitute values of Variables

∴

y = 0.2m \cdot \tan (45°) - \frac{9.8m/s² \cdot {0.2m}^{2} \cdot \sec (45°)}{2 \cdot {51.2m/s}^{2}}

Next Step Convert Units

∴

y = 0.2m \cdot \tan (0.7854rad) - \frac{9.8m/s² \cdot {0.2m}^{2} \cdot \sec (0.7854rad)}{2 \cdot {51.2m/s}^{2}}

Next Step Prepare to Evaluate

∴

y = 0.2 \cdot \tan (0.7854) - \frac{9.8 \cdot {0.2}^{2} \cdot \sec (0.7854)}{2 \cdot {51.2}^{2}}

Next Step Evaluate

∴

y = 0.199894261986397m

LAST Step Rounding Answer

∴

y = 0.1999m

Variation of y with x in Free Liquid Jet Formula Elements

Variables

Functions

Length y

The Length y is the vertical distance measured from a reference point to the location of a liquid jet in fluid mechanics applications.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length y

Length x

The Length x is the measurement of the horizontal distance in a fluid jet system, crucial for analyzing flow dynamics and performance in mechanical applications.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length x

Angle of Liquid Jet

The Angle of Liquid Jet is the angle formed between the direction of the liquid jet and a reference line, influencing the jet's trajectory and dispersion.

Symbol: Θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Liquid Jet

Acceleration Due to Gravity

Acceleration Due to Gravity is the rate at which an object accelerates towards the Earth due to gravitational force, influencing the behavior of liquid jets in fluid mechanics.

Symbol: g

Measurement: AccelerationUnit: m/s²

Note: Value should be greater than 0.

Formulas to find Acceleration Due to Gravity

Initial Velocity of Liquid Jet

The Initial Velocity of Liquid Jet is the speed at which a liquid exits a nozzle, influencing the jet's behavior and performance in fluid dynamics applications.

Symbol: V_o

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Initial Velocity of Liquid Jet

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

sec

Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine.

Syntax: sec(Angle)

Other formulas in Liquid Jet category

Go Angle of Jet given Maximum Vertical Elevation

Θ = a \sin (\sqrt{\frac{H \cdot 2 \cdot g}{{V o}^{2}}})

Go Angle of Jet given Time of Flight of Liquid Jet

Θ = a \sin (T \cdot \frac{g}{2 \cdot V o})

Go Angle of Jet given Time to Reach Highest Point

Θ = a \sin (T \cdot \frac{g}{V o})

Go Initial Velocity given Time of Flight of Liquid Jet

V o = T \cdot \frac{g}{\sin (Θ)}

How to Evaluate Variation of y with x in Free Liquid Jet?

Variation of y with x in Free Liquid Jet evaluator uses Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2) to evaluate the Length y, Variation of y with x in Free Liquid Jet formula is defined as a relationship that describes how the vertical position of a liquid jet changes with horizontal distance, influenced by gravitational forces and the initial velocity of the jet, providing insights into fluid behavior in jet dynamics. Length y is denoted by y symbol.

How to evaluate Variation of y with x in Free Liquid Jet using this online evaluator? To use this online evaluator for Variation of y with x in Free Liquid Jet, enter Length x (x), Angle of Liquid Jet (Θ), Acceleration Due to Gravity (g) & Initial Velocity of Liquid Jet (V_o) and hit the calculate button.

FAQs on Variation of y with x in Free Liquid Jet

What is the formula to find Variation of y with x in Free Liquid Jet?

The formula of Variation of y with x in Free Liquid Jet is expressed as Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2). Here is an example- 0.199894 = 0.2*tan(0.785398163397301)-(9.8*0.2^2*sec(0.785398163397301))/(2*51.2^2).

How to calculate Variation of y with x in Free Liquid Jet?

With Length x (x), Angle of Liquid Jet (Θ), Acceleration Due to Gravity (g) & Initial Velocity of Liquid Jet (V_o) we can find Variation of y with x in Free Liquid Jet using the formula - Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2). This formula also uses Tangent (tan), Secant (sec) function(s).

Can the Variation of y with x in Free Liquid Jet be negative?

Yes, the Variation of y with x in Free Liquid Jet, measured in Length can be negative.

Which unit is used to measure Variation of y with x in Free Liquid Jet?

Variation of y with x in Free Liquid Jet is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Variation of y with x in Free Liquid Jet can be measured.

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Variation of y with x in Free Liquid Jet Formula

Variation of y with x in Free Liquid Jet Example

Variation of y with x in Free Liquid Jet Solution

Variation of y with x in Free Liquid Jet Formula Elements

Other formulas in Liquid Jet category

How to Evaluate Variation of y with x in Free Liquid Jet?

FAQs on Variation of y with x in Free Liquid Jet

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