Initial Velocity of Liquid Jet given Maximum Vertical Elevation Calculator

✖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.ⓘ Maximum Vertical Elevation [H]			+10% -10%
✖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.ⓘ Acceleration Due to Gravity [g]			+10% -10%
✖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.ⓘ Angle of Liquid Jet [Θ]			+10% -10%

✖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.ⓘ Initial Velocity of Liquid Jet given Maximum Vertical Elevation [V_o]

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Initial Velocity of Liquid Jet given Maximum Vertical Elevation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Velocity of Liquid Jet = sqrt(Maximum Vertical Elevation*2*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet)))
V_o = sqrt(H*2*g/(sin(Θ)*sin(Θ)))
This formula uses 2 Functions, 4 Variables

Functions Used

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., 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., sqrt(Number)

Variables Used

Initial Velocity of Liquid Jet - (Measured in Meter per Second) - 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.
Maximum Vertical Elevation - (Measured in Meter) - 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.
Acceleration Due to Gravity - (Measured in Meter per Square Second) - 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.
Angle of Liquid Jet - (Measured in Radian) - 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.

STEP 1: Convert Input(s) to Base Unit

Maximum Vertical Elevation: 66.87347 Meter --> 66.87347 Meter No Conversion Required
Acceleration Due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Angle of Liquid Jet: 45 Degree --> 0.785398163397301 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_o = sqrt(H*2*g/(sin(Θ)*sin(Θ))) --> sqrt(66.87347*2*9.8/(sin(0.785398163397301)*sin(0.785398163397301)))

Evaluating ... ...

V_o = 51.2000002343825

STEP 3: Convert Result to Output's Unit

51.2000002343825 Meter per Second --> No Conversion Required

FINAL ANSWER

51.2000002343825 ≈ 51.2 Meter per Second <-- Initial Velocity of Liquid Jet

(Calculation completed in 00.006 seconds)

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Osmania University (OU), Hyderabad

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< Liquid Jet Calculators

Angle of Jet given Maximum Vertical Elevation

LaTeX Go Angle of Liquid Jet = asin(sqrt((Maximum Vertical Elevation*2*Acceleration Due to Gravity)/Initial Velocity of Liquid Jet^(2)))

Angle of Jet given Time of Flight of Liquid Jet

Go Angle of Liquid Jet = asin(Time of Flight*Acceleration Due to Gravity/(Initial Velocity of Liquid Jet))

Angle of Jet given Time to Reach Highest Point

LaTeX Go Angle of Liquid Jet = asin(Time of Flight*Acceleration Due to Gravity/(Initial Velocity of Liquid Jet))

Initial Velocity given Time of Flight of Liquid Jet

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

Initial Velocity of Liquid Jet given Maximum Vertical Elevation Formula

LaTeX Go

Initial Velocity of Liquid Jet = sqrt(Maximum Vertical Elevation*2*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet)))
V_o = sqrt(H*2*g/(sin(Θ)*sin(Θ)))

What is a Projectile?

A projectile is any object thrown by the exertion of a force. It can also be defined as an object launched into the space and allowed to move free under the influence of gravity and air resistance.Although any object in motion through space may be called projectiles.

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

Initial Velocity of Liquid Jet given Maximum Vertical Elevation calculator 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 calculate 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 calculate Initial Velocity of Liquid Jet given Maximum Vertical Elevation using this online calculator? To use this online calculator 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. Here is how the Initial Velocity of Liquid Jet given Maximum Vertical Elevation calculation can be explained with given input values -> 30.02665 = sqrt(66.87347*2*9.8/(sin(0.785398163397301)*sin(0.785398163397301))).

FAQ

What is Initial Velocity of Liquid Jet given Maximum Vertical Elevation?

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 and is represented as V_o = sqrt(H*2*g/(sin(Θ)*sin(Θ))) or Initial Velocity of Liquid Jet = sqrt(Maximum Vertical Elevation*2*Acceleration Due to Gravity/(sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))). 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, 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 & 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.

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

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 is calculated using 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 calculate Initial Velocity of Liquid Jet given Maximum Vertical Elevation, you need Maximum Vertical Elevation (H), Acceleration Due to Gravity (g) & Angle of Liquid Jet (Θ). With our tool, you need to enter the respective value for Maximum Vertical Elevation, Acceleration Due to Gravity & Angle of Liquid Jet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Initial Velocity of Liquid Jet?

In this formula, Initial Velocity of Liquid Jet uses Maximum Vertical Elevation, Acceleration Due to Gravity & Angle of Liquid Jet. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)

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