Initial Velocity given Time of Flight of Liquid Jet Calculator

✖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.ⓘ Time of Flight [T]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+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 initial velocity of liquid jet is defined as the velocity possed by the liquid jet at time T=0.ⓘ Initial Velocity given Time of Flight of Liquid Jet [V_o]

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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))
V_o = 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

V_o = T*g/(sin(Θ)) --> 4.5*9.8/(sin(0.785398163397301))

Evaluating ... ...

V_o = 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)

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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

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

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

Initial Velocity given Time of Flight of Liquid Jet Formula

LaTeX Go

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