Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate Calculator

✖Fluid Mass is both a property of the fluid and a measure of its resistance to acceleration when a net force is applied.ⓘ Fluid Mass [m_f]			+10% -10%
✖Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid.ⓘ Specific Gravity of Fluid [G]			+10% -10%
✖Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.ⓘ Specific Weight of Liquid [γ_f]			+10% -10%
✖Angle between Jet and Plate is the space between two intersecting lines or surfaces at or close to the point where they meet.ⓘ Angle between Jet and Plate [∠D]			+10% -10%
✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [V_absolute]			+10% -10%
✖Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.ⓘ Fluid Jet Velocity [v_jet]			+10% -10%

✖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.ⓘ Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate [A_Jet]

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Formula

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Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate

Formula

`"A"_{"Jet"} = ("m"_{"f"}*"G")/("γ"_{"f"}*("∠D"*(180/pi))*("V"_{"absolute"}-"v"_{"jet"})^2)`

Example

`"0.023103m²"= ("0.9kg"*"10")/("9.81kN/m³"*("11°"*(180/pi))*("10.1m/s"-"12m/s")^2)`

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Download Force Exerted by Fluid Jet on Moving Flat Plate Formulas PDF

Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Angle between Jet and Plate*(180/pi))*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2)
A_Jet = (m_f*G)/(γ_f*(∠D*(180/pi))*(V_absolute-v_jet)^2)
This formula uses 1 Constants, 7 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Fluid Mass - (Measured in Kilogram) - Fluid Mass is both a property of the fluid and a measure of its resistance to acceleration when a net force is applied.
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 Kilonewton per Cubic Meter) - Specific Weight of Liquid represents the force exerted by gravity on a unit volume of a fluid.
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.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.
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.

STEP 1: Convert Input(s) to Base Unit

Fluid Mass: 0.9 Kilogram --> 0.9 Kilogram No Conversion Required
Specific Gravity of Fluid: 10 --> No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Angle between Jet and Plate: 11 Degree --> 0.19198621771934 Radian (Check conversion here)
Absolute Velocity of Issuing Jet: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required
Fluid Jet Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Jet = (m_f*G)/(γ_f*(∠D*(180/pi))*(V_absolute-v_jet)^2) --> (0.9*10)/(9.81*(0.19198621771934*(180/pi))*(10.1-12)^2)

Evaluating ... ...

A_Jet = 0.0231032785862685

STEP 3: Convert Result to Output's Unit

0.0231032785862685 Square Meter --> No Conversion Required

FINAL ANSWER

0.0231032785862685 ≈ 0.023103 Square Meter <-- Cross Sectional Area of Jet

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Impact of Free Jets » Force Exerted by Fluid Jet on Moving Flat Plate » Flat Plate Inclined at an Angle to the Jet » Cross Sectional Area » Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute Of Technology (NIT), Hamirpur

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< 4 Cross Sectional Area Calculators

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

Go Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta))

Cross Sectional Area for given Work Done by Jet per Second

Go Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2*Jet Velocity*Angle between Jet and Plate^2)

Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate

Go Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Angle between Jet and Plate*(180/pi))*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2)

Cross Section Area for Mass of Fluid Striking Plate

Go Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet))

Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate Formula

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 for given Dynamic Thrust Exerted by Jet on Plate?

Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate calculator uses Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Angle between Jet and Plate*(180/pi))*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2) to calculate the Cross Sectional Area of Jet, The Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate 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 A_Jet symbol.

How to calculate Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate using this online calculator? To use this online calculator for Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate, enter Fluid Mass (m_f), Specific Gravity of Fluid (G), Specific Weight of Liquid (γ_f), Angle between Jet and Plate (∠D), Absolute Velocity of Issuing Jet (V_absolute) & Fluid Jet Velocity (v_jet) and hit the calculate button. Here is how the Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate calculation can be explained with given input values -> 0.020851 = (0.9*10)/(9810*(0.19198621771934*(180/pi))*(10.1-12)^2).

FAQ

What is Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate?

The Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate is the area of a two-dimensional shape that is obtained when a three-dimensional object - such as a cylinder and is represented as A_Jet = (m_f*G)/(γ_f*(∠D*(180/pi))*(V_absolute-v_jet)^2) or Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Angle between Jet and Plate*(180/pi))*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2). Fluid Mass is both a property of the fluid and a measure of its resistance to acceleration when a net force is applied, 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 represents the force exerted by gravity on a unit volume of a fluid, Angle between Jet and Plate is the space between two intersecting lines or surfaces at or close to the point where they meet, Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller & Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area.

How to calculate Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate?

The Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate 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 = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Angle between Jet and Plate*(180/pi))*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2). To calculate Cross Sectional Area for given Dynamic Thrust Exerted by Jet on Plate, you need Fluid Mass (m_f), Specific Gravity of Fluid (G), Specific Weight of Liquid (γ_f), Angle between Jet and Plate (∠D), Absolute Velocity of Issuing Jet (V_absolute) & Fluid Jet Velocity (v_jet). With our tool, you need to enter the respective value for Fluid Mass, Specific Gravity of Fluid, Specific Weight of Liquid, Angle between Jet and Plate, Absolute Velocity of Issuing Jet & Fluid Jet Velocity 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 Fluid Mass, Specific Gravity of Fluid, Specific Weight of Liquid, Angle between Jet and Plate, Absolute Velocity of Issuing Jet & Fluid Jet Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Cross Sectional Area of Jet = (Fluid Mass*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet))
Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(Angle between Jet and Plate*(180/pi))*cos(Theta))
Cross Sectional Area of Jet = (Thrust Force*Specific Gravity of Fluid)/(Specific Weight of Liquid*(Absolute Velocity of Issuing Jet-Fluid Jet Velocity)^2*Jet Velocity*Angle between Jet and Plate^2)

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