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Horizontal Range of Jet Formula

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The Range is the maximum distance a liquid jet can travel before it falls to the ground, influenced by factors such as velocity and angle of projection. Check FAQs

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

L - Range?V_o - Initial Velocity of Liquid Jet?Θ - Angle of Liquid Jet?g - Acceleration Due to Gravity?

Horizontal Range of Jet Example

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Here is how the Horizontal Range of Jet equation looks like with Values.

Here is how the Horizontal Range of Jet equation looks like with Units.

Here is how the Horizontal Range of Jet equation looks like.

267.4939 = {51.2}^{2} \cdot \frac{\sin (2 \cdot 45)}{9.8}

267.4939m = {51.2m/s}^{2} \cdot \frac{\sin (2 \cdot 45°)}{9.8m/s²}

267.4939 = {51.2}^{2} \cdot \frac{\sin (2 \cdot 45)}{9.8}

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Horizontal Range of Jet Solution

Follow our step by step solution on how to calculate Horizontal Range of Jet?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Convert Units

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

L = 267.49387755102m

LAST Step Rounding Answer

∴

L = 267.4939m

Horizontal Range of Jet Formula Elements

Variables

Functions

Range

The Range is the maximum distance a liquid jet can travel before it falls to the ground, influenced by factors such as velocity and angle of projection.

Symbol: L

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Range

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 Horizontal Range of Jet?

Horizontal Range of Jet evaluator uses Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration Due to Gravity to evaluate the Range, Horizontal Range of Jet formula is defined as a measure of the distance a liquid jet travels horizontally before hitting the ground. It takes into account the initial velocity of the jet, the angle of projection, and the acceleration due to gravity, providing insights into fluid dynamics. Range is denoted by L symbol.

How to evaluate Horizontal Range of Jet using this online evaluator? To use this online evaluator for Horizontal Range of Jet, 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 Horizontal Range of Jet

What is the formula to find Horizontal Range of Jet?

The formula of Horizontal Range of Jet is expressed as Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration Due to Gravity. Here is an example- 267.4939 = 51.2^(2)*sin(2*0.785398163397301)/9.8.

How to calculate Horizontal Range of Jet?

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

Can the Horizontal Range of Jet be negative?

Yes, the Horizontal Range of Jet, measured in Length can be negative.

Which unit is used to measure Horizontal Range of Jet?

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

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Horizontal Range of Jet Formula

Horizontal Range of Jet Example

Horizontal Range of Jet Solution

Horizontal Range of Jet Formula Elements

Other formulas in Liquid Jet category

How to Evaluate Horizontal Range of Jet?

FAQs on Horizontal Range of Jet

Variable Name