Velocity of Fluid given Thrust Parallel to Jet Solution

STEP 0: Pre-Calculation Summary
Formula Used
Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))^2))
vjet = sqrt((FX*[g])/(γf*AJet*(sin(∠D))^2))
This formula uses 1 Constants, 2 Functions, 5 Variables
Constants Used
[g] - Gravitational acceleration on Earth Value Taken As 9.80665
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)
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
Fluid Jet Velocity - (Measured in Meter per Second) - Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.
Force by Jet Normal to Plate in X - (Measured in Newton) - Force by Jet Normal to Plate in X is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity.
Specific Weight of Liquid - (Measured in Newton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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.
STEP 1: Convert Input(s) to Base Unit
Force by Jet Normal to Plate in X: 10.2 Kilonewton --> 10200 Newton (Check conversion here)
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)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
vjet = sqrt((FX*[g])/(γf*AJet*(sin(∠D))^2)) --> sqrt((10200*[g])/(9810*1.2*(sin(0.19198621771934))^2))
Evaluating ... ...
vjet = 15.2769427811088
STEP 3: Convert Result to Output's Unit
15.2769427811088 Meter per Second --> No Conversion Required
FINAL ANSWER
15.2769427811088 15.27694 Meter per Second <-- Fluid Jet Velocity
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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National Institute Of Technology (NIT), Hamirpur
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12 Flat Plate Inclined at an Angle to the Jet Calculators

Velocity of Fluid given Thrust Normal to Jet
Go Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in Y*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))*cos(Angle between Jet and Plate)))
Force Exerted by Jet Normal to Direction of Jet Normal to Plate
Go Force by Jet Normal to Plate in Y = ((Specific Weight of Liquid*Cross Sectional Area of Jet*Fluid Jet Velocity^2)/[g])*sin(Angle between Jet and Plate)*cos(Angle between Jet and Plate)
Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet
Go Cross Sectional Area of Jet = (Force by Jet Normal to Plate in Y*[g])/(Specific Weight of Liquid*Fluid Jet Velocity^2*sin(Angle between Jet and Plate)*cos(Angle between Jet and Plate))
Velocity of Fluid given Thrust Exerted Normal to Plate
Go Fluid Jet Velocity = sqrt((Force Exerted by Jet Normal to Plate*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))))
Velocity of Fluid given Thrust Parallel to Jet
Go Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))^2))
Force Exerted by Jet in Direction Normal to Plate
Go Force Exerted by Jet Normal to Plate = ((Specific Weight of Liquid*Cross Sectional Area of Jet*(Fluid Jet Velocity^2))/ ([g]))*sin(Angle between Jet and Plate)
Force Exerted by Jet Parallel to Direction of Jet Normal to Plate
Go Force by Jet Normal to Plate in X = ((Specific Weight of Liquid*Cross Sectional Area of Jet*Fluid Jet Velocity^2)/[g])*(sin(Angle between Jet and Plate))^2
Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate
Go Cross Sectional Area of Jet = (Force Exerted by Jet Normal to Plate*[g])/(Specific Weight of Liquid*Fluid Jet Velocity^2*(sin(Angle between Jet and Plate)))
Cross Sectional Area of Jet for given Dynamic Thrust Parallel to Direction of Jet
Go Cross Sectional Area of Jet = (Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Fluid Jet Velocity^2*(sin(Angle between Jet and Plate))^2)
Discharge Flowing in Direction Parallel to Plate
Go Discharge in any Direction = (Discharge by Jet/2)*(1-cos(Angle between Jet and Plate))
Discharge Flowing in Direction Normal to Plate
Go Discharge in any Direction = (Discharge by Jet/2)*(1+cos(Angle between Jet and Plate))
Discharge Flowing by Jet
Go Discharge by Jet = Discharge in any Direction+Discharge in any Direction

Velocity of Fluid given Thrust Parallel to Jet Formula

Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))^2))
vjet = sqrt((FX*[g])/(γf*AJet*(sin(∠D))^2))

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 Fluid given Thrust Parallel to Jet?

Velocity of Fluid given Thrust Parallel to Jet calculator uses Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))^2)) to calculate the Fluid Jet Velocity, The Velocity of Fluid given Thrust Parallel to Jet is the rate of change of its position with respect to a frame of reference and is a function of time. Fluid Jet Velocity is denoted by vjet symbol.

How to calculate Velocity of Fluid given Thrust Parallel to Jet using this online calculator? To use this online calculator for Velocity of Fluid given Thrust Parallel to Jet, enter Force by Jet Normal to Plate in X (FX), Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet) & Angle between Jet and Plate (∠D) and hit the calculate button. Here is how the Velocity of Fluid given Thrust Parallel to Jet calculation can be explained with given input values -> 13.99455 = sqrt((10200*[g])/(9810*1.2*(sin(0.19198621771934))^2)).

FAQ

What is Velocity of Fluid given Thrust Parallel to Jet?
The Velocity of Fluid given Thrust Parallel to 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 vjet = sqrt((FX*[g])/(γf*AJet*(sin(∠D))^2)) or Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))^2)). Force by Jet Normal to Plate in X is any interaction that, when unopposed, will change the motion of an object. In other words, a force can cause an object with mass to change its velocity, Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid, 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.
How to calculate Velocity of Fluid given Thrust Parallel to Jet?
The Velocity of Fluid given Thrust Parallel to 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 Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))^2)). To calculate Velocity of Fluid given Thrust Parallel to Jet, you need Force by Jet Normal to Plate in X (FX), Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet) & Angle between Jet and Plate (∠D). With our tool, you need to enter the respective value for Force by Jet Normal to Plate in X, Specific Weight of Liquid, Cross Sectional Area of Jet & Angle between Jet and Plate 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 Fluid Jet Velocity?
In this formula, Fluid Jet Velocity uses Force by Jet Normal to Plate in X, Specific Weight of Liquid, Cross Sectional Area of Jet & Angle between Jet and Plate. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Fluid Jet Velocity = sqrt((Force Exerted by Jet Normal to Plate*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))))
  • Fluid Jet Velocity = sqrt((Force by Jet Normal to Plate in Y*[g])/(Specific Weight of Liquid*Cross Sectional Area of Jet*(sin(Angle between Jet and Plate))*cos(Angle between Jet and Plate)))
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