Angle of 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 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 [V_o]			+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 Jet given Maximum Vertical Elevation [Θ]

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Angle of Jet given Maximum Vertical Elevation Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Liquid Jet = asin(sqrt((Maximum Vertical Elevation*2*Acceleration Due to Gravity)/Initial Velocity of Liquid Jet^(2)))
Θ = asin(sqrt((H*2*g)/V_o^(2)))
This formula uses 3 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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)
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

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.
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.
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.

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
Initial Velocity of Liquid Jet: 51.2 Meter per Second --> 51.2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Θ = asin(sqrt((H*2*g)/V_o^(2))) --> asin(sqrt((66.87347*2*9.8)/51.2^(2)))

Evaluating ... ...

Θ = 0.785398167975085

STEP 3: Convert Result to Output's Unit

0.785398167975085 Radian -->45.0000002622877 Degree (Check conversion here)

FINAL ANSWER

45.0000002622877 ≈ 45 Degree <-- Angle of Liquid Jet

(Calculation completed in 00.020 seconds)

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Created by Kethavath Srinath

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))

Angle of Jet given Maximum Vertical Elevation Formula

LaTeX Go

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

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 Angle of Jet given Maximum Vertical Elevation?

Angle of Jet given Maximum Vertical Elevation calculator uses Angle of Liquid Jet = asin(sqrt((Maximum Vertical Elevation*2*Acceleration Due to Gravity)/Initial Velocity of Liquid Jet^(2))) to calculate the Angle of Liquid Jet, Angle of Jet given Maximum Vertical Elevation formula is defined as a method to determine the optimal angle at which a liquid jet should be projected to achieve the highest vertical elevation. This concept is crucial in fluid mechanics for optimizing jet performance in various applications. Angle of Liquid Jet is denoted by Θ symbol.

How to calculate Angle of Jet given Maximum Vertical Elevation using this online calculator? To use this online calculator for Angle of Jet given Maximum Vertical Elevation, enter Maximum Vertical Elevation (H), Acceleration Due to Gravity (g) & Initial Velocity of Liquid Jet (V_o) and hit the calculate button. Here is how the Angle of Jet given Maximum Vertical Elevation calculation can be explained with given input values -> 1403.729 = asin(sqrt((66.87347*2*9.8)/51.2^(2))).

FAQ

What is Angle of Jet given Maximum Vertical Elevation?

Angle of Jet given Maximum Vertical Elevation formula is defined as a method to determine the optimal angle at which a liquid jet should be projected to achieve the highest vertical elevation. This concept is crucial in fluid mechanics for optimizing jet performance in various applications and is represented as Θ = asin(sqrt((H*2*g)/V_o^(2))) or Angle of Liquid Jet = asin(sqrt((Maximum Vertical Elevation*2*Acceleration Due to Gravity)/Initial Velocity of Liquid Jet^(2))). 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 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.

How to calculate Angle of Jet given Maximum Vertical Elevation?

Angle of Jet given Maximum Vertical Elevation formula is defined as a method to determine the optimal angle at which a liquid jet should be projected to achieve the highest vertical elevation. This concept is crucial in fluid mechanics for optimizing jet performance in various applications is calculated using Angle of Liquid Jet = asin(sqrt((Maximum Vertical Elevation*2*Acceleration Due to Gravity)/Initial Velocity of Liquid Jet^(2))). To calculate Angle of Jet given Maximum Vertical Elevation, you need Maximum Vertical Elevation (H), Acceleration Due to Gravity (g) & Initial Velocity of Liquid Jet (V_o). With our tool, you need to enter the respective value for Maximum Vertical Elevation, Acceleration Due to Gravity & Initial Velocity 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 Angle of Liquid Jet?

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

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

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