Variation of y with x in Free Liquid Jet Calculator

✖The Length x is the measurement of the horizontal distance in a fluid jet system, crucial for analyzing flow dynamics and performance in mechanical applications.ⓘ Length x [x]			+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%
✖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 Length y is the vertical distance measured from a reference point to the location of a liquid jet in fluid mechanics applications.ⓘ Variation of y with x in Free Liquid Jet [y]

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Variation of y with x in Free Liquid Jet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2)
y = x*tan(Θ)-(g*x^2*sec(Θ))/(2*V_o^2)
This formula uses 2 Functions, 5 Variables

Functions Used

tan - The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle., tan(Angle)
sec - Secant is a trigonometric function that is defined ratio of the hypotenuse to the shorter side adjacent to an acute angle (in a right-angled triangle); the reciprocal of a cosine., sec(Angle)

Variables Used

Length y - (Measured in Meter) - The Length y is the vertical distance measured from a reference point to the location of a liquid jet in fluid mechanics applications.
Length x - (Measured in Meter) - The Length x is the measurement of the horizontal distance in a fluid jet system, crucial for analyzing flow dynamics and performance in mechanical applications.
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.
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

Length x: 0.2 Meter --> 0.2 Meter No Conversion Required
Angle of Liquid Jet: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
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

y = x*tan(Θ)-(g*x^2*sec(Θ))/(2*V_o^2) --> 0.2*tan(0.785398163397301)-(9.8*0.2^2*sec(0.785398163397301))/(2*51.2^2)

Evaluating ... ...

y = 0.199894261986397

STEP 3: Convert Result to Output's Unit

0.199894261986397 Meter --> No Conversion Required

FINAL ANSWER

0.199894261986397 ≈ 0.199894 Meter <-- Length y

(Calculation completed in 00.004 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))

Variation of y with x in Free Liquid Jet Formula

Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2)
y = x*tan(Θ)-(g*x^2*sec(Θ))/(2*V_o^2)

What is a Free Liquid Jet?

The free liquid jet is basically defined as the jet of fluid coming out from the nozzle in the atmosphere. The path traveled by the free jet is parabolic and this is called as a projectile.

How to Calculate Variation of y with x in Free Liquid Jet?

Variation of y with x in Free Liquid Jet calculator uses Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2) to calculate the Length y, Variation of y with x in Free Liquid Jet formula is defined as a relationship that describes how the vertical position of a liquid jet changes with horizontal distance, influenced by gravitational forces and the initial velocity of the jet, providing insights into fluid behavior in jet dynamics. Length y is denoted by y symbol.

How to calculate Variation of y with x in Free Liquid Jet using this online calculator? To use this online calculator for Variation of y with x in Free Liquid Jet, enter Length x (x), Angle of Liquid Jet (Θ), Acceleration Due to Gravity (g) & Initial Velocity of Liquid Jet (V_o) and hit the calculate button. Here is how the Variation of y with x in Free Liquid Jet calculation can be explained with given input values -> 0.199894 = 0.2*tan(0.785398163397301)-(9.8*0.2^2*sec(0.785398163397301))/(2*51.2^2).

FAQ

What is Variation of y with x in Free Liquid Jet?

Variation of y with x in Free Liquid Jet formula is defined as a relationship that describes how the vertical position of a liquid jet changes with horizontal distance, influenced by gravitational forces and the initial velocity of the jet, providing insights into fluid behavior in jet dynamics and is represented as y = x*tan(Θ)-(g*x^2*sec(Θ))/(2*V_o^2) or Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2). The Length x is the measurement of the horizontal distance in a fluid jet system, crucial for analyzing flow dynamics and performance in mechanical applications, 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, 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 Variation of y with x in Free Liquid Jet?

Variation of y with x in Free Liquid Jet formula is defined as a relationship that describes how the vertical position of a liquid jet changes with horizontal distance, influenced by gravitational forces and the initial velocity of the jet, providing insights into fluid behavior in jet dynamics is calculated using Length y = Length x*tan(Angle of Liquid Jet)-(Acceleration Due to Gravity*Length x^2*sec(Angle of Liquid Jet))/(2*Initial Velocity of Liquid Jet^2). To calculate Variation of y with x in Free Liquid Jet, you need Length x (x), Angle of Liquid Jet (Θ), Acceleration Due to Gravity (g) & Initial Velocity of Liquid Jet (V_o). With our tool, you need to enter the respective value for Length x, Angle of Liquid Jet, 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.

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