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Variation of y with x in Free Liquid Jet Formula

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Length y is the vertical distance from the origin to the y coordinate. 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

Length y is the vertical distance from the origin to the y coordinate.

Symbol: y

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Length y

Length x

Length x is simply the distance from the origin to the x coordinate.

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 defined as the angle between the horizontal x-axis and the free liquid jet.

Symbol: Θ

Measurement: AngleUnit: °

Note: Value can be positive or negative.

Formulas to find Angle of Liquid Jet

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.

Formulas to find Acceleration due to Gravity

Initial Velocity of Liquid Jet

The initial velocity of liquid jet is defined as the velocity possed by the liquid jet at time T=0.

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 simply discribes the variation of the vertical displacement of liquid jet with respective to the horizontal displacement. 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, Secant Function 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

Variable Name