Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
AJet = (FY*[g])/(γf*vjet^2*sin(∠D)*cos(∠D))
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)
cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., cos(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 by Jet Normal to Plate in Y - (Measured in Newton) - Force by Jet Normal to Plate in Y 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.
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 by Jet Normal to Plate in Y: 38 Kilonewton --> 38000 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 = (FY*[g])/(γf*vjet^2*sin(∠D)*cos(∠D)) --> (38000*[g])/(9810*12^2*sin(0.19198621771934)*cos(0.19198621771934))
Evaluating ... ...
AJet = 1.40840432903963
STEP 3: Convert Result to Output's Unit
1.40840432903963 Square Meter --> No Conversion Required
FINAL ANSWER
1.40840432903963 1.408404 Square Meter <-- Cross Sectional Area of Jet
(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

Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet Formula

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))
AJet = (FY*[g])/(γf*vjet^2*sin(∠D)*cos(∠D))

What is meant by Cross-Sectional Area of Jet?

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.

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 Dynamic Thrust Normal to Direction of Jet?

Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet calculator uses 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)) to calculate the Cross Sectional Area of Jet, Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet 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 Dynamic Thrust Normal to Direction of Jet using this online calculator? To use this online calculator for Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet, enter Force by Jet Normal to Plate in Y (FY), 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 Dynamic Thrust Normal to Direction of Jet calculation can be explained with given input values -> 1.408404 = (38000*[g])/(9810*12^2*sin(0.19198621771934)*cos(0.19198621771934)).

FAQ

What is Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet?
Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet 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 = (FY*[g])/(γf*vjet^2*sin(∠D)*cos(∠D)) or 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)). Force by Jet Normal to Plate in Y 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, 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 Dynamic Thrust Normal to Direction of Jet?
Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet 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 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)). To calculate Cross Sectional Area of Jet for given Dynamic Thrust Normal to Direction of Jet, you need Force by Jet Normal to Plate in Y (FY), 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 by Jet Normal to Plate in Y, 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 by Jet Normal to Plate in Y, 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 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 = (Force by Jet Normal to Plate in X*[g])/(Specific Weight of Liquid*Fluid Jet Velocity^2*(sin(Angle between Jet and Plate))^2)
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