Angle of Jet given Time to Reach Highest Point 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 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 Jet given Time to Reach Highest Point [Θ]

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Formula

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Angle of Jet given Time to Reach Highest Point

Formula

`"Θ" = asin("T"*"g"/("V"_{"o"}))`

Example

`"59.46603°"=asin("4.5s"*"9.8m/s²"/("51.2m/s"))`

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Angle of Jet given Time to Reach Highest Point Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Liquid Jet = asin(Time of Flight*Acceleration due to Gravity/(Initial Velocity of Liquid Jet))
Θ = asin(T*g/(V_o))
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)
asin - The inverse sine function, is a trigonometric function that takes a ratio of two sides of a right triangle and outputs the angle opposite the side with the given ratio., asin(Number)

Variables Used

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.
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.
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.

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
Initial Velocity of Liquid Jet: 51.2 Meter per Second --> 51.2 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

Θ = asin(T*g/(V_o)) --> asin(4.5*9.8/(51.2))

Evaluating ... ...

Θ = 1.0378780747737

STEP 3: Convert Result to Output's Unit

1.0378780747737 Radian -->59.4660333337077 Degree (Check conversion here)

FINAL ANSWER

59.4660333337077 ≈ 59.46603 Degree <-- Angle of Liquid Jet

(Calculation completed in 00.004 seconds)

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Vishwakarma Government Engineering College (VGEC), Ahmedabad

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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)

Angle of Jet given Time to Reach Highest Point Formula

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

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 Angle of Jet given Time to Reach Highest Point?

Angle of Jet given Time to Reach Highest Point calculator uses Angle of Liquid Jet = asin(Time of Flight*Acceleration due to Gravity/(Initial Velocity of Liquid Jet)) to calculate the Angle of Liquid Jet, The Angle of Jet given Time to Reach Highest Point formula is defined as the angle of the projection of the liquid jet. Angle of Liquid Jet is denoted by Θ symbol.

How to calculate Angle of Jet given Time to Reach Highest Point using this online calculator? To use this online calculator for Angle of Jet given Time to Reach Highest Point, enter Time of Flight (T), Acceleration due to Gravity (g) & Initial Velocity of Liquid Jet (V_o) and hit the calculate button. Here is how the Angle of Jet given Time to Reach Highest Point calculation can be explained with given input values -> 3407.153 = asin(4.5*9.8/(51.2)).

FAQ

What is Angle of Jet given Time to Reach Highest Point?

The Angle of Jet given Time to Reach Highest Point formula is defined as the angle of the projection of the liquid jet and is represented as Θ = asin(T*g/(V_o)) or Angle of Liquid Jet = asin(Time of Flight*Acceleration due to Gravity/(Initial Velocity 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 initial velocity of liquid jet is defined as the velocity possed by the liquid jet at time T=0.

How to calculate Angle of Jet given Time to Reach Highest Point?

The Angle of Jet given Time to Reach Highest Point formula is defined as the angle of the projection of the liquid jet is calculated using Angle of Liquid Jet = asin(Time of Flight*Acceleration due to Gravity/(Initial Velocity of Liquid Jet)). To calculate Angle of Jet given Time to Reach Highest Point, you need Time of Flight (T), Acceleration due to Gravity (g) & Initial Velocity of Liquid Jet (V_o). With our tool, you need to enter the respective value for Time of Flight, Acceleration due to Gravity & Initial Velocity 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 Angle of Liquid Jet?

In this formula, Angle of Liquid Jet uses Time of Flight, Acceleration due to Gravity & Initial Velocity of Liquid Jet. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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