Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
AJet = (Fp*[g])/(γf*vjet^2*(sin(∠D)))
This formula uses 1 Constants, 1 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)
Variables Used
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.
Force Exerted by Jet Normal to Plate - (Measured in Newton) - Force Exerted by Jet Normal to Plate 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) - The Specific Weight of Liquid refers to the weight per unit volume of that substance.
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.
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 Exerted by Jet Normal to Plate: 39 Kilonewton --> 39000 Newton (Check conversion ​here)
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9810 Newton per Cubic Meter (Check conversion ​here)
Fluid Jet Velocity: 12 Meter per Second --> 12 Meter per Second 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
AJet = (Fp*[g])/(γf*vjet^2*(sin(∠D))) --> (39000*[g])/(9810*12^2*(sin(0.19198621771934)))
Evaluating ... ...
AJet = 1.41891028979359
STEP 3: Convert Result to Output's Unit
1.41891028979359 Square Meter --> No Conversion Required
FINAL ANSWER
1.41891028979359 1.41891 Square Meter <-- Cross Sectional Area of Jet
(Calculation completed in 00.020 seconds)

Credits

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

Velocity of Fluid given Thrust Exerted Normal to Plate
​ LaTeX ​ 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))))
Force Exerted by Jet in Direction Normal to Plate
​ LaTeX ​ 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)
Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate
​ LaTeX ​ 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)))
Force Exerted by Jet Parallel to Direction of Jet Normal to Plate
​ LaTeX ​ 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 Formula

​LaTeX ​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)))
AJet = (Fp*[g])/(γf*vjet^2*(sin(∠D)))

What is meant by Velocity?

The Velocity of an object is the rate of change of its position with respect to a frame of reference, and is a function of time.

How to Calculate Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate?

Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate calculator uses 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))) to calculate the Cross Sectional Area of Jet, The Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate is given is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder. Cross Sectional Area of Jet is denoted by AJet symbol.

How to calculate Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate using this online calculator? To use this online calculator for Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate, enter Force Exerted by Jet Normal to Plate (Fp), Specific Weight of Liquid f), Fluid Jet Velocity (vjet) & Angle between Jet and Plate (∠D) and hit the calculate button. Here is how the Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate calculation can be explained with given input values -> 1.41891 = (39000*[g])/(9810*12^2*(sin(0.19198621771934))).

FAQ

What is Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate?
The Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate is given is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder and is represented as AJet = (Fp*[g])/(γf*vjet^2*(sin(∠D))) or 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))). Force Exerted by Jet Normal to Plate 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, The Specific Weight of Liquid refers to the weight per unit volume of that substance, Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area & 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 Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate?
The Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate is given is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder is calculated using 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))). To calculate Cross Sectional Area of Jet for given Thrust Exerted in Direction of Normal to Plate, you need Force Exerted by Jet Normal to Plate (Fp), Specific Weight of Liquid f), Fluid Jet Velocity (vjet) & Angle between Jet and Plate (∠D). With our tool, you need to enter the respective value for Force Exerted by Jet Normal to Plate, Specific Weight of Liquid, Fluid Jet Velocity & 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 Cross Sectional Area of Jet?
In this formula, Cross Sectional Area of Jet uses Force Exerted by Jet Normal to Plate, Specific Weight of Liquid, Fluid Jet Velocity & Angle between Jet and Plate. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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)
  • 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))
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