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Initial Velocity of Liquid Jet given Maximum Vertical Elevation Formula

GoInitial Velocity given Time of Flight of Liquid Jet Formula

GoInitial Velocity given Time to Reach Highest Point of Liquid Formula

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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. Check FAQs

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

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

Initial Velocity of Liquid Jet given Maximum Vertical Elevation Example

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Here is how the Initial Velocity of Liquid Jet given Maximum Vertical Elevation equation looks like with Values.

Here is how the Initial Velocity of Liquid Jet given Maximum Vertical Elevation equation looks like with Units.

Here is how the Initial Velocity of Liquid Jet given Maximum Vertical Elevation equation looks like.

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

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

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

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Initial Velocity of Liquid Jet given Maximum Vertical Elevation Solution

Follow our step by step solution on how to calculate Initial Velocity of Liquid Jet given Maximum Vertical Elevation?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V o = \sqrt{66.8735m \cdot 2 \cdot \frac{9.8m/s²}{\sin (45°) \cdot \sin (45°)}}

Next Step Convert Units

∴

V o = \sqrt{66.8735m \cdot 2 \cdot \frac{9.8m/s²}{\sin (0.7854rad) \cdot \sin (0.7854rad)}}

Next Step Prepare to Evaluate

∴

V o = \sqrt{66.8735 \cdot 2 \cdot \frac{9.8}{\sin (0.7854) \cdot \sin (0.7854)}}

Next Step Evaluate

∴

V o = 51.2000002343825m/s

LAST Step Rounding Answer

∴

V o = 51.2m/s

Initial Velocity of Liquid Jet given Maximum Vertical Elevation Formula Elements

Variables

Functions

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

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

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

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

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)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Initial Velocity of Liquid Jet

Go Initial Velocity given Time of Flight of Liquid Jet

V o = T \cdot \frac{g}{\sin (Θ)}

Go Initial Velocity given Time to Reach Highest Point of Liquid

V o = T' \cdot \frac{g}{\sin (Θ)}

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}{V o})

Go Angle of Jet given Time to Reach Highest Point

Θ = a \sin (T \cdot \frac{g}{V o})

Go Maximum Vertical Elevation of Jet Profile

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

How to Evaluate Initial Velocity of Liquid Jet given Maximum Vertical Elevation?

Initial Velocity of Liquid Jet given Maximum Vertical Elevation evaluator uses Initial Velocity of Liquid Jet = sqrt(Maximum Vertical Elevation*2*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))) to evaluate the Initial Velocity of Liquid Jet, Initial Velocity of Liquid Jet given Maximum Vertical Elevation formula is defined as a method to determine the necessary speed of a liquid jet to reach a specified height. This concept is essential in fluid mechanics for understanding jet dynamics and optimizing fluid flow in various applications. Initial Velocity of Liquid Jet is denoted by V_o symbol.

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

FAQs on Initial Velocity of Liquid Jet given Maximum Vertical Elevation

What is the formula to find Initial Velocity of Liquid Jet given Maximum Vertical Elevation?

The formula of Initial Velocity of Liquid Jet given Maximum Vertical Elevation is expressed as Initial Velocity of Liquid Jet = sqrt(Maximum Vertical Elevation*2*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))). Here is an example- 30.02665 = sqrt(66.87347*2*9.8/(sin(0.785398163397301)*sin(0.785398163397301))).

How to calculate Initial Velocity of Liquid Jet given Maximum Vertical Elevation?

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

What are the other ways to Calculate Initial Velocity of Liquid Jet?

Here are the different ways to Calculate Initial Velocity of Liquid Jet-

Initial Velocity of Liquid Jet=Time of Flight*Acceleration Due to Gravity/(sin(Angle of Liquid Jet))
Initial Velocity of Liquid Jet=Time to Reach Highest Point*Acceleration Due to Gravity/sin(Angle of Liquid Jet)

Can the Initial Velocity of Liquid Jet given Maximum Vertical Elevation be negative?

Yes, the Initial Velocity of Liquid Jet given Maximum Vertical Elevation, measured in Speed can be negative.

Which unit is used to measure Initial Velocity of Liquid Jet given Maximum Vertical Elevation?

Initial Velocity of Liquid Jet given Maximum Vertical Elevation is usually measured using the Meter per Second[m/s] for Speed. Meter per Minute[m/s], Meter per Hour[m/s], Kilometer per Hour[m/s] are the few other units in which Initial Velocity of Liquid Jet given Maximum Vertical Elevation can be measured.

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Initial Velocity of Liquid Jet given Maximum Vertical Elevation Formula

​GoInitial Velocity given Time of Flight of Liquid Jet Formula

​GoInitial Velocity given Time to Reach Highest Point of Liquid Formula

Initial Velocity of Liquid Jet given Maximum Vertical Elevation Example

Initial Velocity of Liquid Jet given Maximum Vertical Elevation Solution

Initial Velocity of Liquid Jet given Maximum Vertical Elevation Formula Elements

Other Formulas to find Initial Velocity of Liquid Jet

Other formulas in Liquid Jet category

How to Evaluate Initial Velocity of Liquid Jet given Maximum Vertical Elevation?

FAQs on Initial Velocity of Liquid Jet given Maximum Vertical Elevation

Variable Name

GoInitial Velocity given Time of Flight of Liquid Jet Formula

GoInitial Velocity given Time to Reach Highest Point of Liquid Formula