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Maximum Vertical Elevation of Jet Profile Formula

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The Maximum Vertical Elevation is the highest point that a liquid jet can reach when projected vertically, reflecting the jet's potential energy and fluid dynamics. Check FAQs

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

H - Maximum Vertical Elevation?V_o - Initial Velocity of Liquid Jet?Θ - Angle of Liquid Jet?g - Acceleration Due to Gravity?

Maximum Vertical Elevation of Jet Profile Example

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Here is how the Maximum Vertical Elevation of Jet Profile equation looks like with Values.

Here is how the Maximum Vertical Elevation of Jet Profile equation looks like with Units.

Here is how the Maximum Vertical Elevation of Jet Profile equation looks like.

66.8735 = \frac{{51.2}^{2} \cdot \sin (45) \cdot \sin (45)}{2 \cdot 9.8}

66.8735m = \frac{{51.2m/s}^{2} \cdot \sin (45°) \cdot \sin (45°)}{2 \cdot 9.8m/s²}

66.8735 = \frac{{51.2}^{2} \cdot \sin (45) \cdot \sin (45)}{2 \cdot 9.8}

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Maximum Vertical Elevation of Jet Profile Solution

Follow our step by step solution on how to calculate Maximum Vertical Elevation of Jet Profile?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

H = \frac{{51.2m/s}^{2} \cdot \sin (45°) \cdot \sin (45°)}{2 \cdot 9.8m/s²}

Next Step Convert Units

∴

H = \frac{{51.2m/s}^{2} \cdot \sin (0.7854rad) \cdot \sin (0.7854rad)}{2 \cdot 9.8m/s²}

Next Step Prepare to Evaluate

∴

H = \frac{{51.2}^{2} \cdot \sin (0.7854) \cdot \sin (0.7854)}{2 \cdot 9.8}

Next Step Evaluate

∴

H = 66.8734693877354m

LAST Step Rounding Answer

∴

H = 66.8735m

Maximum Vertical Elevation of Jet Profile Formula Elements

Variables

Functions

Maximum Vertical Elevation

The Maximum Vertical Elevation is the highest point that a liquid jet can reach when projected vertically, reflecting the jet's potential energy and fluid dynamics.

Symbol: H

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Maximum Vertical Elevation

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

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

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)

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 Maximum Vertical Elevation of Jet Profile?

Maximum Vertical Elevation of Jet Profile evaluator uses Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration Due to Gravity) to evaluate the Maximum Vertical Elevation, Maximum Vertical Elevation of Jet Profile formula is defined as a measure of the highest point reached by a liquid jet when projected vertically. It takes into account the initial velocity, launch angle, and gravitational acceleration, providing insights into fluid dynamics and jet behavior in mechanical systems. Maximum Vertical Elevation is denoted by H symbol.

How to evaluate Maximum Vertical Elevation of Jet Profile using this online evaluator? To use this online evaluator for Maximum Vertical Elevation of Jet Profile, enter Initial Velocity of Liquid Jet (V_o), Angle of Liquid Jet (Θ) & Acceleration Due to Gravity (g) and hit the calculate button.

FAQs on Maximum Vertical Elevation of Jet Profile

What is the formula to find Maximum Vertical Elevation of Jet Profile?

The formula of Maximum Vertical Elevation of Jet Profile is expressed as Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration Due to Gravity). Here is an example- 66.87347 = (51.2^(2)*sin(0.785398163397301)*sin(0.785398163397301))/(2*9.8).

How to calculate Maximum Vertical Elevation of Jet Profile?

With Initial Velocity of Liquid Jet (V_o), Angle of Liquid Jet (Θ) & Acceleration Due to Gravity (g) we can find Maximum Vertical Elevation of Jet Profile using the formula - Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration Due to Gravity). This formula also uses Sine (sin) function(s).

Can the Maximum Vertical Elevation of Jet Profile be negative?

Yes, the Maximum Vertical Elevation of Jet Profile, measured in Length can be negative.

Which unit is used to measure Maximum Vertical Elevation of Jet Profile?

Maximum Vertical Elevation of Jet Profile is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Maximum Vertical Elevation of Jet Profile can be measured.

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Maximum Vertical Elevation of Jet Profile Formula

Maximum Vertical Elevation of Jet Profile Example

Maximum Vertical Elevation of Jet Profile Solution

Maximum Vertical Elevation of Jet Profile Formula Elements

Other formulas in Liquid Jet category

How to Evaluate Maximum Vertical Elevation of Jet Profile?

FAQs on Maximum Vertical Elevation of Jet Profile

Variable Name