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)))
Vo = 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 defined as the velocity possed by the liquid jet at time T=0.
Maximum Vertical Elevation - (Measured in Meter) - Maximum Vertical Elevation is defined as the highest point of the projectile motion of 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.
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.
STEP 1: Convert Input(s) to Base Unit
Maximum Vertical Elevation: 23 Meter --> 23 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
Vo = sqrt(H*2*g/(sin(Θ)*sin(Θ))) --> sqrt(23*2*9.8/(sin(0.785398163397301)*sin(0.785398163397301)))
Evaluating ... ...
Vo = 30.0266548253425
STEP 3: Convert Result to Output's Unit
30.0266548253425 Meter per Second --> No Conversion Required
FINAL ANSWER
30.0266548253425 30.02665 Meter per Second <-- Initial Velocity of Liquid Jet
(Calculation completed in 00.004 seconds)

Credits

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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)

Initial Velocity of Liquid Jet given Maximum Vertical Elevation Formula

Initial Velocity of Liquid Jet = sqrt(Maximum Vertical Elevation*2*Acceleration due to Gravity/(sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet)))
Vo = 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, The Initial Velocity of Liquid Jet given Maximum Vertical Elevation formula is defined as the velocity of the liquid jet in the projectile motion at time t=0. Initial Velocity of Liquid Jet is denoted by Vo 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 -> 4.685296 = sqrt(23*2*9.8/(sin(0.785398163397301)*sin(0.785398163397301))).

FAQ

What is Initial Velocity of Liquid Jet given Maximum Vertical Elevation?
The Initial Velocity of Liquid Jet given Maximum Vertical Elevation formula is defined as the velocity of the liquid jet in the projectile motion at time t=0 and is represented as Vo = 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))). Maximum Vertical Elevation is defined as the highest point of the projectile motion of the free liquid jet, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force & The Angle of Liquid Jet is defined as the angle between the horizontal x-axis and the free liquid jet.
How to calculate Initial Velocity of Liquid Jet given Maximum Vertical Elevation?
The Initial Velocity of Liquid Jet given Maximum Vertical Elevation formula is defined as the velocity of the liquid jet in the projectile motion at time t=0 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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