Initial Velocity given Time of Flight of Liquid Jet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Initial Velocity of Liquid Jet = Time of Flight*Acceleration due to Gravity/(sin(Angle of Liquid Jet))
Vo = T*g/(sin(Θ))
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
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.
Time of Flight - (Measured in Second) - Time of Flight is defined as the time taken by the liquid particle in a liquid jet to reach from origin to maximum horizontal distance.
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
Time of Flight: 4.5 Second --> 4.5 Second 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 = T*g/(sin(Θ)) --> 4.5*9.8/(sin(0.785398163397301))
Evaluating ... ...
Vo = 62.3668181006627
STEP 3: Convert Result to Output's Unit
62.3668181006627 Meter per Second --> No Conversion Required
FINAL ANSWER
62.3668181006627 62.36682 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 given Time of Flight of Liquid Jet Formula

Initial Velocity of Liquid Jet = Time of Flight*Acceleration due to Gravity/(sin(Angle of Liquid Jet))
Vo = T*g/(sin(Θ))

what is time of flight?

Time of Flight is defined as the time taken by the liquid particle in a liquid jet to reach from origin to maximum horizontal distance. The Time-of-Flight principle (ToF) is a method for measuring the distance between a sensor and an object, based on the time difference between the emission of a signal and its return to the sensor, after being reflected by an object.

How to Calculate Initial Velocity given Time of Flight of Liquid Jet?

Initial Velocity given Time of Flight of Liquid Jet calculator uses Initial Velocity of Liquid Jet = Time of Flight*Acceleration due to Gravity/(sin(Angle of Liquid Jet)) to calculate the Initial Velocity of Liquid Jet, The Initial Velocity given Time of Flight of Liquid Jet formula is defined as the velocity of the liquid jet at time equals zero. Initial Velocity of Liquid Jet is denoted by Vo symbol.

How to calculate Initial Velocity given Time of Flight of Liquid Jet using this online calculator? To use this online calculator for Initial Velocity given Time of Flight of Liquid Jet, enter Time of Flight (T), Acceleration due to Gravity (g) & Angle of Liquid Jet (Θ) and hit the calculate button. Here is how the Initial Velocity given Time of Flight of Liquid Jet calculation can be explained with given input values -> 62.36682 = 4.5*9.8/(sin(0.785398163397301)).

FAQ

What is Initial Velocity given Time of Flight of Liquid Jet?
The Initial Velocity given Time of Flight of Liquid Jet formula is defined as the velocity of the liquid jet at time equals zero and is represented as Vo = T*g/(sin(Θ)) or Initial Velocity of Liquid Jet = Time of Flight*Acceleration due to Gravity/(sin(Angle of Liquid Jet)). Time of Flight is defined as the time taken by the liquid particle in a liquid jet to reach from origin to maximum horizontal distance, 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 given Time of Flight of Liquid Jet?
The Initial Velocity given Time of Flight of Liquid Jet formula is defined as the velocity of the liquid jet at time equals zero is calculated using Initial Velocity of Liquid Jet = Time of Flight*Acceleration due to Gravity/(sin(Angle of Liquid Jet)). To calculate Initial Velocity given Time of Flight of Liquid Jet, you need Time of Flight (T), Acceleration due to Gravity (g) & Angle of Liquid Jet (Θ). With our tool, you need to enter the respective value for Time of Flight, 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 Time of Flight, 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 = sqrt(Maximum Vertical Elevation*2*Acceleration due to Gravity/(sin(Angle of Liquid Jet)*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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