Initial Velocity given Time to Reach Highest Point of Liquid Calculator

✖Time to Reach Highest Point is defined as the time taken by the liquid jet to reach the maximum vertical distance.ⓘ Time to Reach Highest Point [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 to Reach Highest Point of Liquid [V_o]

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Formula

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Initial Velocity given Time to Reach Highest Point of Liquid

Formula

`"V"_{"o"} = "T'"*"g"/sin("Θ")`

Example

`"207.8894m/s"="15s"*"9.8m/s²"/sin("45°")`

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Initial Velocity given Time to Reach Highest Point of Liquid Solution

STEP 0: Pre-Calculation Summary

Formula Used

Initial Velocity of Liquid Jet = Time to Reach Highest Point*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 to Reach Highest Point - (Measured in Second) - Time to Reach Highest Point is defined as the time taken by the liquid jet to reach the maximum vertical 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 to Reach Highest Point: 15 Second --> 15 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) --> 15*9.8/sin(0.785398163397301)

Evaluating ... ...

V_o = 207.889393668876

STEP 3: Convert Result to Output's Unit

207.889393668876 Meter per Second --> No Conversion Required

FINAL ANSWER

207.889393668876 ≈ 207.8894 Meter per Second <-- Initial Velocity of Liquid Jet

(Calculation completed in 00.020 seconds)

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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 to Reach Highest Point of Liquid Formula

Initial Velocity of Liquid Jet = Time to Reach Highest Point*Acceleration due to Gravity/sin(Angle of Liquid Jet)
V_o = T'*g/sin(Θ)

what is free liquid jet?

The free liquid jet is basically defined as the jet of water coming out from the nozzle in the atmosphere. the path traveled by the free jet is parabolic. Liquid jet injections employ a high-speed jet to puncture the skin and deliver drugs without the use of a needle. They have been used to deliver a number of macromolecules including vaccines and insulin, as well as small molecules, such as anesthetics and antibiotics.

How to Calculate Initial Velocity given Time to Reach Highest Point of Liquid?

Initial Velocity given Time to Reach Highest Point of Liquid calculator uses Initial Velocity of Liquid Jet = Time to Reach Highest Point*Acceleration due to Gravity/sin(Angle of Liquid Jet) to calculate the Initial Velocity of Liquid Jet, The Initial Velocity given Time to Reach Highest Point of Liquid 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 to Reach Highest Point of Liquid using this online calculator? To use this online calculator for Initial Velocity given Time to Reach Highest Point of Liquid, enter Time to Reach Highest Point (T'), Acceleration due to Gravity (g) & Angle of Liquid Jet (Θ) and hit the calculate button. Here is how the Initial Velocity given Time to Reach Highest Point of Liquid calculation can be explained with given input values -> 207.8894 = 15*9.8/sin(0.785398163397301).

FAQ

What is Initial Velocity given Time to Reach Highest Point of Liquid?

The Initial Velocity given Time to Reach Highest Point of Liquid 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 to Reach Highest Point*Acceleration due to Gravity/sin(Angle of Liquid Jet). Time to Reach Highest Point is defined as the time taken by the liquid jet to reach the maximum vertical 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 to Reach Highest Point of Liquid?

The Initial Velocity given Time to Reach Highest Point of Liquid formula is defined as the velocity of the liquid jet at time equals zero is calculated using Initial Velocity of Liquid Jet = Time to Reach Highest Point*Acceleration due to Gravity/sin(Angle of Liquid Jet). To calculate Initial Velocity given Time to Reach Highest Point of Liquid, you need Time to Reach Highest Point (T'), Acceleration due to Gravity (g) & Angle of Liquid Jet (Θ). With our tool, you need to enter the respective value for Time to Reach Highest Point, 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 to Reach Highest Point, 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 = sqrt(Maximum Vertical Elevation*2*Acceleration due to Gravity/(sin(Angle of Liquid Jet)*sin(Angle of Liquid Jet)))

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