Velocity of Jet given Normal Thrust Normal to Direction of Jet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))*cos(Theta))))+Absolute Velocity of Issuing Jet
v = -(sqrt((Ft*G)/(γf*AJet*(∠D*(180/pi))*cos(θ))))+Vabsolute
This formula uses 1 Constants, 2 Functions, 8 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Functions Used
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(Angle)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Thrust Force - (Measured in Newton) - Thrust Force acting perpendicular to the job piece.
Specific Gravity of Fluid - Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
Cross Sectional Area of Jet - (Measured in Square Meter) - Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.
Angle between Jet and Plate - (Measured in Radian) - Angle between Jet and Plate is the space between two intersecting lines or surfaces at or close to the point where they meet.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
STEP 1: Convert Input(s) to Base Unit
Thrust Force: 0.5 Kilonewton --> 500 Newton (Check conversion ​here)
Specific Gravity of Fluid: 10 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion ​here)
Cross Sectional Area of Jet: 1.2 Square Meter --> 1.2 Square Meter No Conversion Required
Angle between Jet and Plate: 11 Degree --> 0.19198621771934 Radian (Check conversion ​here)
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion ​here)
Absolute Velocity of Issuing Jet: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
v = -(sqrt((Ft*G)/(γf*AJet*(∠D*(180/pi))*cos(θ))))+Vabsolute --> -(sqrt((500*10)/(9810*1.2*(0.19198621771934*(180/pi))*cos(0.5235987755982))))+10.1
Evaluating ... ...
v = 9.88884653281516
STEP 3: Convert Result to Output's Unit
9.88884653281516 Meter per Second --> No Conversion Required
FINAL ANSWER
9.88884653281516 9.888847 Meter per Second <-- Velocity of Jet
(Calculation completed in 00.036 seconds)

Credits

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Created by M Naveen
National Institute of Technology (NIT), Warangal
M Naveen has created this Calculator and 500+ more calculators!
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Verified by Anshika Arya
National Institute Of Technology (NIT), Hamirpur
Anshika Arya has verified this Calculator and 2500+ more calculators!

Velocity of Jet Calculators

Velocity of Jet given Normal Thrust Normal to Direction of Jet
​ LaTeX ​ Go Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))*cos(Theta))))+Absolute Velocity of Issuing Jet
Velocity of Jet given Normal Thrust Parallel to Direction of Jet
​ LaTeX ​ Go Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))^2))-Absolute Velocity of Issuing Jet)
Velocity of jet for dynamic thrust exerted by jet on plate
​ LaTeX ​ Go Velocity of Jet = -(sqrt((Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))))-Absolute Velocity of Issuing Jet)

Velocity of Jet given Normal Thrust Normal to Direction of Jet Formula

​LaTeX ​Go
Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))*cos(Theta))))+Absolute Velocity of Issuing Jet
v = -(sqrt((Ft*G)/(γf*AJet*(∠D*(180/pi))*cos(θ))))+Vabsolute

What is meant by Thrust?

Thrust is a force or a push. When a system pushes or accelerates mass in one direction, there is a thrust (force) just as large in the opposite direction.

How to Calculate Velocity of Jet given Normal Thrust Normal to Direction of Jet?

Velocity of Jet given Normal Thrust Normal to Direction of Jet calculator uses Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))*cos(Theta))))+Absolute Velocity of Issuing Jet to calculate the Velocity of Jet, The Velocity of Jet given Normal Thrust Normal to Direction of Jet is the rate of change of its position with respect to a frame of reference and is a function of time. Velocity of Jet is denoted by v symbol.

How to calculate Velocity of Jet given Normal Thrust Normal to Direction of Jet using this online calculator? To use this online calculator for Velocity of Jet given Normal Thrust Normal to Direction of Jet, enter Thrust Force (Ft), Specific Gravity of Fluid (G), Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet), Angle between Jet and Plate (∠D), Theta (θ) & Absolute Velocity of Issuing Jet (Vabsolute) and hit the calculate button. Here is how the Velocity of Jet given Normal Thrust Normal to Direction of Jet calculation can be explained with given input values -> 9.788847 = -(sqrt((500*10)/(9810*1.2*(0.19198621771934*(180/pi))*cos(0.5235987755982))))+10.1.

FAQ

What is Velocity of Jet given Normal Thrust Normal to Direction of Jet?
The Velocity of Jet given Normal Thrust Normal to Direction of Jet is the rate of change of its position with respect to a frame of reference and is a function of time and is represented as v = -(sqrt((Ft*G)/(γf*AJet*(∠D*(180/pi))*cos(θ))))+Vabsolute or Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))*cos(Theta))))+Absolute Velocity of Issuing Jet. Thrust Force acting perpendicular to the job piece, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid, The Specific Weight of Liquid refers to the weight per unit volume of that substance, Cross Sectional Area of Jet is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point, Angle between Jet and Plate is the space between two intersecting lines or surfaces at or close to the point where they meet, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
How to calculate Velocity of Jet given Normal Thrust Normal to Direction of Jet?
The Velocity of Jet given Normal Thrust Normal to Direction of Jet is the rate of change of its position with respect to a frame of reference and is a function of time is calculated using Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))*cos(Theta))))+Absolute Velocity of Issuing Jet. To calculate Velocity of Jet given Normal Thrust Normal to Direction of Jet, you need Thrust Force (Ft), Specific Gravity of Fluid (G), Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet), Angle between Jet and Plate (∠D), Theta (θ) & Absolute Velocity of Issuing Jet (Vabsolute). With our tool, you need to enter the respective value for Thrust Force, Specific Gravity of Fluid, Specific Weight of Liquid, Cross Sectional Area of Jet, Angle between Jet and Plate, Theta & Absolute Velocity of Issuing 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 Velocity of Jet?
In this formula, Velocity of Jet uses Thrust Force, Specific Gravity of Fluid, Specific Weight of Liquid, Cross Sectional Area of Jet, Angle between Jet and Plate, Theta & Absolute Velocity of Issuing Jet. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Velocity of Jet = -(sqrt((Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))))-Absolute Velocity of Issuing Jet)
  • Velocity of Jet = -(sqrt((Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(Angle between Jet and Plate*(180/pi))^2))-Absolute Velocity of Issuing Jet)
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