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Initial Velocity given Time to Reach Highest Point of Liquid Formula

GoInitial Velocity given Time of Flight of Liquid Jet Formula

GoInitial Velocity of Liquid Jet given Maximum Vertical Elevation 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 to Reach Highest Point?g - Acceleration Due to Gravity?Θ - Angle of Liquid Jet?

Initial Velocity given Time to Reach Highest Point of Liquid Example

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Here is how the Initial Velocity given Time to Reach Highest Point of Liquid equation looks like with Values.

Here is how the Initial Velocity given Time to Reach Highest Point of Liquid equation looks like with Units.

Here is how the Initial Velocity given Time to Reach Highest Point of Liquid equation looks like.

51.2794 = 3.7 \cdot \frac{9.8}{\sin (45)}

51.2794m/s = 3.7s \cdot \frac{9.8m/s²}{\sin (45°)}

51.2794 = 3.7 \cdot \frac{9.8}{\sin (45)}

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Initial Velocity given Time to Reach Highest Point of Liquid Solution

Follow our step by step solution on how to calculate Initial Velocity given Time to Reach Highest Point of Liquid?

FIRST Step Consider the formula

V o = T' \cdot \frac{g}{\sin (Θ)}

Next Step Substitute values of Variables

∴

V o = 3.7s \cdot \frac{9.8m/s²}{\sin (45°)}

Next Step Convert Units

∴

V o = 3.7s \cdot \frac{9.8m/s²}{\sin (0.7854rad)}

Next Step Prepare to Evaluate

∴

V o = 3.7 \cdot \frac{9.8}{\sin (0.7854)}

Next Step Evaluate

∴

V o = 51.279383771656m/s

LAST Step Rounding Answer

∴

V o = 51.2794m/s

Initial Velocity given Time to Reach Highest Point of Liquid 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 to Reach Highest Point

The Time to Reach Highest Point is the duration it takes for a liquid jet to ascend to its maximum height before descending due to gravity.

Symbol: T'

Measurement: TimeUnit: s

Note: Value can be positive or negative.

Formulas to find Time to Reach Highest Point

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 given Time of Flight of Liquid Jet

V o = T \cdot \frac{g}{\sin (Θ)}

Go Initial Velocity of Liquid Jet given Maximum Vertical Elevation

V o = \sqrt{H \cdot 2 \cdot \frac{g}{\sin (Θ) \cdot \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 to Reach Highest Point of Liquid?

Initial Velocity given Time to Reach Highest Point of Liquid evaluator uses Initial Velocity of Liquid Jet = Time to Reach Highest Point*Acceleration Due to Gravity/sin(Angle of Liquid Jet) to evaluate the Initial Velocity of Liquid Jet, Initial Velocity given Time to Reach Highest Point of Liquid formula is defined as a method to determine the initial speed required for a liquid jet to reach its maximum height. This concept is essential in fluid mechanics for analyzing the behavior of liquid projections under gravitational influence. Initial Velocity of Liquid Jet is denoted by V_o symbol.

How to evaluate Initial Velocity given Time to Reach Highest Point of Liquid using this online evaluator? To use this online evaluator for Initial Velocity given Time to Reach Highest Point of Liquid, enter Time to Reach Highest Point (T'), Acceleration Due to Gravity (g) & Angle of Liquid Jet (Θ) and hit the calculate button.

FAQs on Initial Velocity given Time to Reach Highest Point of Liquid

What is the formula to find Initial Velocity given Time to Reach Highest Point of Liquid?

The formula of Initial Velocity given Time to Reach Highest Point of Liquid is expressed as Initial Velocity of Liquid Jet = Time to Reach Highest Point*Acceleration Due to Gravity/sin(Angle of Liquid Jet). Here is an example- 207.8894 = 3.7*9.8/sin(0.785398163397301).

How to calculate Initial Velocity given Time to Reach Highest Point of Liquid?

With Time to Reach Highest Point (T'), Acceleration Due to Gravity (g) & Angle of Liquid Jet (Θ) we can find Initial Velocity given Time to Reach Highest Point of Liquid using the formula - Initial Velocity of Liquid Jet = Time to Reach Highest Point*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=Time of Flight*Acceleration Due to Gravity/(sin(Angle 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)))

Can the Initial Velocity given Time to Reach Highest Point of Liquid be negative?

Yes, the Initial Velocity given Time to Reach Highest Point of Liquid, measured in Speed can be negative.

Which unit is used to measure Initial Velocity given Time to Reach Highest Point of Liquid?

Initial Velocity given Time to Reach Highest Point of Liquid 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 to Reach Highest Point of Liquid can be measured.

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Initial Velocity given Time to Reach Highest Point of Liquid Formula

​GoInitial Velocity given Time of Flight of Liquid Jet Formula

​GoInitial Velocity of Liquid Jet given Maximum Vertical Elevation Formula

Initial Velocity given Time to Reach Highest Point of Liquid Example

Initial Velocity given Time to Reach Highest Point of Liquid Solution

Initial Velocity given Time to Reach Highest Point of Liquid Formula Elements

Other Formulas to find Initial Velocity of Liquid Jet

Other formulas in Liquid Jet category

How to Evaluate Initial Velocity given Time to Reach Highest Point of Liquid?

FAQs on Initial Velocity given Time to Reach Highest Point of Liquid

Variable Name

GoInitial Velocity given Time of Flight of Liquid Jet Formula

GoInitial Velocity of Liquid Jet given Maximum Vertical Elevation Formula