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Initial Velocity given Time of Flight of Liquid Jet Formula

GoInitial Velocity of Liquid Jet given Maximum Vertical Elevation 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 = T \cdot \frac{g}{\sin (Θ)}

V_o - Initial Velocity of Liquid Jet?T - Time of Flight?g - Acceleration Due to Gravity?Θ - Angle of Liquid Jet?

Initial Velocity given Time of Flight of Liquid Jet Example

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Here is how the Initial Velocity given Time of Flight of Liquid Jet equation looks like with Values.

Here is how the Initial Velocity given Time of Flight of Liquid Jet equation looks like with Units.

Here is how the Initial Velocity given Time of Flight of Liquid Jet equation looks like.

51.2 = 3.6943 \cdot \frac{9.8}{\sin (45)}

51.2m/s = 3.6943s \cdot \frac{9.8m/s²}{\sin (45°)}

51.2 = 3.6943 \cdot \frac{9.8}{\sin (45)}

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Initial Velocity given Time of Flight of Liquid Jet Solution

Follow our step by step solution on how to calculate Initial Velocity given Time of Flight of Liquid Jet?

FIRST Step Consider the formula

V o = T \cdot \frac{g}{\sin (Θ)}

Next Step Substitute values of Variables

∴

V o = 3.6943s \cdot \frac{9.8m/s²}{\sin (45°)}

Next Step Convert Units

∴

V o = 3.6943s \cdot \frac{9.8m/s²}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

V o = 3.6943 \cdot \frac{9.8}{\sin (0.7854)}

Next Step Evaluate

∴

V o = 51.1999977418603m/s

LAST Step Rounding Answer

∴

V o = 51.2m/s

Initial Velocity given Time of Flight of Liquid Jet 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

Time of Flight

The Time of Flight is the duration it takes for a liquid jet to travel from its origin to a specified point in its trajectory.

Symbol: T

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time of Flight

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)

Other Formulas to find Initial Velocity of Liquid Jet

Go Initial Velocity of Liquid Jet given Maximum Vertical Elevation

V o = \sqrt{H \cdot 2 \cdot \frac{g}{\sin (Θ) \cdot \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}{2 \cdot 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 given Time of Flight of Liquid Jet?

Initial Velocity given Time of Flight of Liquid Jet evaluator uses Initial Velocity of Liquid Jet = Time of Flight*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)) to evaluate the Initial Velocity of Liquid Jet, Initial Velocity given Time of Flight of Liquid Jet formula is defined as a method to determine the initial speed of a liquid jet based on its time of flight and the angle of projection. This concept is crucial in fluid mechanics for analyzing jet dynamics. Initial Velocity of Liquid Jet is denoted by V_o symbol.

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

FAQs on Initial Velocity given Time of Flight of Liquid Jet

What is the formula to find Initial Velocity given Time of Flight of Liquid Jet?

The formula of Initial Velocity given Time of Flight of Liquid Jet is expressed as Initial Velocity of Liquid Jet = Time of Flight*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)). Here is an example- 51.2087 = 3.694272*9.8/(sin(0.785398163397301)).

How to calculate Initial Velocity given Time of Flight of Liquid Jet?

With Time of Flight (T), Acceleration Due to Gravity (g) & Angle of Liquid Jet (Θ) we can find Initial Velocity given Time of Flight of Liquid Jet using the formula - Initial Velocity of Liquid Jet = Time of Flight*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)). This formula also uses Sine (sin) 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=sqrt(Maximum Vertical Elevation*2*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)*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 given Time of Flight of Liquid Jet be negative?

Yes, the Initial Velocity given Time of Flight of Liquid Jet, measured in Speed can be negative.

Which unit is used to measure Initial Velocity given Time of Flight of Liquid Jet?

Initial Velocity given Time of Flight of Liquid Jet 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 given Time of Flight of Liquid Jet can be measured.

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Initial Velocity given Time of Flight of Liquid Jet Formula

​GoInitial Velocity of Liquid Jet given Maximum Vertical Elevation Formula

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

Initial Velocity given Time of Flight of Liquid Jet Example

Initial Velocity given Time of Flight of Liquid Jet Solution

Initial Velocity given Time of Flight of Liquid Jet Formula Elements

Other Formulas to find Initial Velocity of Liquid Jet

Other formulas in Liquid Jet category

How to Evaluate Initial Velocity given Time of Flight of Liquid Jet?

FAQs on Initial Velocity given Time of Flight of Liquid Jet

Variable Name

GoInitial Velocity of Liquid Jet given Maximum Vertical Elevation Formula

GoInitial Velocity given Time to Reach Highest Point of Liquid Formula