Horizontal Range of Jet Calculator

✖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 Liquid Jet [Θ]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%

✖Range is defined as the total horizontal distance travelled by the liquid jet.ⓘ Horizontal Range of Jet [L]

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Formula

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Horizontal Range of Jet

Formula

`"L" = "V"_{"o"}^(2)*sin(2*"Θ")/"g"`

Example

`"267.4939m"=("51.2m/s")^(2)*sin(2*"45°")/"9.8m/s²"`

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Horizontal Range of Jet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration due to Gravity
L = V_o^(2)*sin(2*Θ)/g
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

Range - (Measured in Meter) - Range is defined as the total horizontal distance travelled by the liquid jet.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Initial Velocity of Liquid Jet: 51.2 Meter per Second --> 51.2 Meter per Second No Conversion Required
Angle of Liquid Jet: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

L = V_o^(2)*sin(2*Θ)/g --> 51.2^(2)*sin(2*0.785398163397301)/9.8

Evaluating ... ...

L = 267.49387755102

STEP 3: Convert Result to Output's Unit

267.49387755102 Meter --> No Conversion Required

FINAL ANSWER

267.49387755102 ≈ 267.4939 Meter <-- Range

(Calculation completed in 00.004 seconds)

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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)

Horizontal Range of Jet Formula

Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration due to Gravity
L = V_o^(2)*sin(2*Θ)/g

What is a horizontal range?

A projectile is an object that we give an initial velocity, and the gravity acts on it. A projectile's horizontal range is the distance along the horizontal plane. Moreover, it would travel before it reaches the same vertical position as it started from.

How to Calculate Horizontal Range of Jet?

Horizontal Range of Jet calculator uses Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration due to Gravity to calculate the Range, Horizontal Range of jet is defined as the maximum horizontal distance travelled by the liquid jet. Range is denoted by L symbol.

How to calculate Horizontal Range of Jet using this online calculator? To use this online calculator for Horizontal Range of Jet, enter Initial Velocity of Liquid Jet (V_o), Angle of Liquid Jet (Θ) & Acceleration due to Gravity (g) and hit the calculate button. Here is how the Horizontal Range of Jet calculation can be explained with given input values -> 267.4939 = 51.2^(2)*sin(2*0.785398163397301)/9.8.

FAQ

What is Horizontal Range of Jet?

Horizontal Range of jet is defined as the maximum horizontal distance travelled by the liquid jet and is represented as L = V_o^(2)*sin(2*Θ)/g or Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration due to Gravity. The initial velocity of liquid jet is defined as the velocity possed by the liquid jet at time T=0, The Angle of Liquid Jet is defined as the angle between the horizontal x-axis and the free liquid jet & The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.

How to calculate Horizontal Range of Jet?

Horizontal Range of jet is defined as the maximum horizontal distance travelled by the liquid jet is calculated using Range = Initial Velocity of Liquid Jet^(2)*sin(2*Angle of Liquid Jet)/Acceleration due to Gravity. To calculate Horizontal Range of Jet, you need Initial Velocity of Liquid Jet (V_o), Angle of Liquid Jet (Θ) & Acceleration due to Gravity (g). With our tool, you need to enter the respective value for Initial Velocity of Liquid Jet, Angle of Liquid Jet & Acceleration due to Gravity and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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