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Angle of Jet given Maximum Vertical Elevation Formula

GoAngle of Jet given Time of Flight of Liquid Jet Formula

GoAngle of Jet given Time to Reach Highest Point Formula

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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. Check FAQs

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

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

Angle of Jet given Maximum Vertical Elevation Example

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

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

Here is how the Angle of Jet given Maximum Vertical Elevation equation looks like.

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

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

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

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Angle of Jet given Maximum Vertical Elevation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

Θ = a \sin (\sqrt{\frac{66.8735m \cdot 2 \cdot 9.8m/s²}{{51.2m/s}^{2}}})

Next Step Prepare to Evaluate

∴

Θ = a \sin (\sqrt{\frac{66.8735 \cdot 2 \cdot 9.8}{{51.2}^{2}}})

Next Step Evaluate

∴

Θ = 0.785398167975085rad

Next Step Convert to Output's Unit

∴

Θ = 45.0000002622877°

LAST Step Rounding Answer

∴

Θ = 45°

Angle of Jet given Maximum Vertical Elevation Formula Elements

Variables

Functions

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

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

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

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)

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.

Syntax: 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.

Syntax: sqrt(Number)

Other Formulas to find Angle of Liquid Jet

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})

Other formulas in Liquid Jet category

Go Initial Velocity given Time of Flight of Liquid Jet

V o = T \cdot \frac{g}{\sin (Θ)}

Go Maximum Vertical Elevation of Jet Profile

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

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)}

How to Evaluate Angle of Jet given Maximum Vertical Elevation?

Angle of Jet given Maximum Vertical Elevation evaluator uses Angle of Liquid Jet = asin(sqrt((Maximum Vertical Elevation*2*Acceleration Due to Gravity)/Initial Velocity of Liquid Jet^(2))) to evaluate 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 evaluate Angle of Jet given Maximum Vertical Elevation using this online evaluator? To use this online evaluator 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.

FAQs on Angle of Jet given Maximum Vertical Elevation

What is the formula to find Angle of Jet given Maximum Vertical Elevation?

The formula of Angle of Jet given Maximum Vertical Elevation is expressed as Angle of Liquid Jet = asin(sqrt((Maximum Vertical Elevation*2*Acceleration Due to Gravity)/Initial Velocity of Liquid Jet^(2))). Here is an example- 1403.729 = asin(sqrt((66.87347*2*9.8)/51.2^(2))).

How to calculate Angle of Jet given Maximum Vertical Elevation?

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

What are the other ways to Calculate Angle of Liquid Jet?

Here are the different ways to Calculate Angle of Liquid Jet-

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))

Can the Angle of Jet given Maximum Vertical Elevation be negative?

Yes, the Angle of Jet given Maximum Vertical Elevation, measured in Angle can be negative.

Which unit is used to measure Angle of Jet given Maximum Vertical Elevation?

Angle of Jet given Maximum Vertical Elevation is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Jet given Maximum Vertical Elevation can be measured.

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Angle of Jet given Maximum Vertical Elevation Formula

​GoAngle of Jet given Time of Flight of Liquid Jet Formula

​GoAngle of Jet given Time to Reach Highest Point Formula

Angle of Jet given Maximum Vertical Elevation Example

Angle of Jet given Maximum Vertical Elevation Solution

Angle of Jet given Maximum Vertical Elevation Formula Elements

Other Formulas to find Angle of Liquid Jet

Other formulas in Liquid Jet category

How to Evaluate Angle of Jet given Maximum Vertical Elevation?

FAQs on Angle of Jet given Maximum Vertical Elevation

Variable Name

GoAngle of Jet given Time of Flight of Liquid Jet Formula

GoAngle of Jet given Time to Reach Highest Point Formula