Maximum Vertical Elevation of Jet Profile Calculator

✖The initial velocity of liquid jet is defined as the velocity possed by the liquid jet at time T=0.ⓘ Initial Velocity of Liquid Jet [V_o]			+10% -10%
✖The Angle of Liquid Jet is defined as the angle between the horizontal x-axis and the free liquid jet.ⓘ Angle of Liquid Jet [Θ]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Maximum Vertical Elevation is defined as the highest point of the projectile motion of the free liquid jet.ⓘ Maximum Vertical Elevation of Jet Profile [H]

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Formula

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Maximum Vertical Elevation of Jet Profile

Formula

`"H" = ("V"_{"o"}^(2)*sin("Θ")*sin("Θ"))/(2*"g")`

Example

`"66.87347m"=(("51.2m/s")^(2)*sin("45°")*sin("45°"))/(2*"9.8m/s²")`

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Maximum Vertical Elevation of Jet Profile Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration due to Gravity)
H = (V_o^(2)*sin(Θ)*sin(Θ))/(2*g)
This formula uses 1 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)

Variables Used

Maximum Vertical Elevation - (Measured in Meter) - Maximum Vertical Elevation is defined as the highest point of the projectile motion of the free liquid jet.
Initial Velocity of Liquid Jet - (Measured in Meter per Second) - The initial velocity of liquid jet is defined as the velocity possed by the liquid jet at time T=0.
Angle of Liquid Jet - (Measured in Radian) - The Angle of Liquid Jet is defined as the angle between the horizontal x-axis and the free liquid jet.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity of Liquid Jet: 51.2 Meter per Second --> 51.2 Meter per Second 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

H = (V_o^(2)*sin(Θ)*sin(Θ))/(2*g) --> (51.2^(2)*sin(0.785398163397301)*sin(0.785398163397301))/(2*9.8)

Evaluating ... ...

H = 66.8734693877354

STEP 3: Convert Result to Output's Unit

66.8734693877354 Meter --> No Conversion Required

FINAL ANSWER

66.8734693877354 ≈ 66.87347 Meter <-- Maximum Vertical Elevation

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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< 12 Liquid Jet Calculators

Variation of y with x in Free Liquid Jet

Go 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)

Initial Velocity of Liquid Jet given Maximum Vertical Elevation

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)))

Maximum Vertical Elevation of Jet Profile

Go Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration due to Gravity)

Angle of Jet given Maximum Vertical Elevation

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

Initial Velocity given Time to Reach Highest Point of Liquid

Go Initial Velocity of Liquid Jet = Time to Reach Highest Point*Acceleration due to Gravity/sin(Angle of Liquid Jet)

Angle of Jet given Time of Flight of Liquid Jet

Go Angle of Liquid Jet = asin(Time of Flight*Acceleration due to Gravity/(2*Initial Velocity of Liquid Jet))

Time of Flight of Jet

Go Time of Flight = (2*Initial Velocity of Liquid Jet*sin(Angle of Liquid Jet))/Acceleration due to Gravity

Angle of Jet given Time to Reach Highest Point

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))

Horizontal Range of Jet

Go Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration due to Gravity

Mean Velocity given Frictional Velocity

Go Mean Velocity = Friction Velocity/sqrt(Friction Factor/8)

Friction Velocity

Go Friction Velocity = Mean Velocity*sqrt(Friction Factor/8)

Maximum Vertical Elevation of Jet Profile Formula

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

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 Maximum Vertical Elevation of Jet Profile?

Maximum Vertical Elevation of Jet Profile calculator uses Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration due to Gravity) to calculate the Maximum Vertical Elevation, Maximum Vertical Elevation of Jet Profile is simply defined as the distance from x-axis to the peak vertical point of the projectile. Maximum Vertical Elevation is denoted by H symbol.

How to calculate Maximum Vertical Elevation of Jet Profile using this online calculator? To use this online calculator for Maximum Vertical Elevation of Jet Profile, enter Initial Velocity of Liquid Jet (V_o), Angle of Liquid Jet (Θ) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Maximum Vertical Elevation of Jet Profile calculation can be explained with given input values -> 66.87347 = (51.2^(2)*sin(0.785398163397301)*sin(0.785398163397301))/(2*9.8).

FAQ

What is Maximum Vertical Elevation of Jet Profile?

Maximum Vertical Elevation of Jet Profile is simply defined as the distance from x-axis to the peak vertical point of the projectile and is represented as H = (V_o^(2)*sin(Θ)*sin(Θ))/(2*g) or Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration due to Gravity). The initial velocity of liquid jet is defined as the velocity possed by the liquid jet at time T=0, The Angle of Liquid Jet is defined as the angle between the horizontal x-axis and the free liquid jet & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Maximum Vertical Elevation of Jet Profile?

Maximum Vertical Elevation of Jet Profile is simply defined as the distance from x-axis to the peak vertical point of the projectile is calculated using Maximum Vertical Elevation = (Initial Velocity of Liquid Jet^(2)*sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet))/(2*Acceleration due to Gravity). To calculate Maximum Vertical Elevation of Jet Profile, you need Initial Velocity of Liquid Jet (V_o), Angle of Liquid Jet (Θ) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Initial Velocity of Liquid Jet, Angle of Liquid Jet & Acceleration due to Gravity 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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