Area of Cross Section for Force Exerted by Jet on Vane in x Direction Calculator

✖Force Exerted by Fluid Jet in X is the impact of jet on plates or vanes, its momentum is changed and a hydrodynamic force is exerted and liquid comes out from nozzle with a high velocity.ⓘ Force Exerted by Fluid Jet in X [F_x]			+10% -10%
✖The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.ⓘ Acceleration due to Gravity [g]			+10% -10%
✖The Specific Weight of Liquid refers to the weight per unit volume of that substance.ⓘ Specific Weight of Liquid [γ_f]			+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%
✖Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.ⓘ Theta [θ]			+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%

✖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.ⓘ Area of Cross Section for Force Exerted by Jet on Vane in x Direction [A_Jet]

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Area of Cross Section for Force Exerted by Jet on Vane in x Direction Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in X*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(cos(Theta)+cos(Angle between Jet and Plate)))
A_Jet = (F_x*g)/(γ_f*v_jet^2*(cos(θ)+cos(∠D)))
This formula uses 1 Functions, 7 Variables

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)

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 Fluid Jet in X - (Measured in Newton) - Force Exerted by Fluid Jet in X is the impact of jet on plates or vanes, its momentum is changed and a hydrodynamic force is exerted and liquid comes out from nozzle with a high velocity.
Acceleration due to Gravity - (Measured in Meter per Square Second) - The Acceleration due to Gravity is acceleration gained by an object because of gravitational force.
Specific Weight of Liquid - (Measured in Kilonewton 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.
Theta - (Measured in Radian) - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
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 Fluid Jet in X: 320 Newton --> 320 Newton No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square Second No Conversion Required
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Fluid Jet Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Angle between Jet and Plate: 11 Degree --> 0.19198621771934 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_Jet = (F_x*g)/(γ_f*v_jet^2*(cos(θ)+cos(∠D))) --> (320*9.8)/(9.81*12^2*(cos(0.5235987755982)+cos(0.19198621771934)))

Evaluating ... ...

A_Jet = 1.20150128620432

STEP 3: Convert Result to Output's Unit

1.20150128620432 Square Meter --> No Conversion Required

FINAL ANSWER

1.20150128620432 ≈ 1.201501 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 Stationary Curved Vane » Jet Striking an Unsymmetrical Stationary Curved Vane Tangentially at one of the Tips » Area of Cross Section for Force Exerted by Jet on Vane in x Direction

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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Coorg Institute of Technology (CIT), Coorg

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< Jet Striking an Unsymmetrical Stationary Curved Vane Tangentially at one of the Tips Calculators

Velocity for force exerted by jet on vane in x direction

LaTeX Go Fluid Jet Velocity = sqrt(Force Exerted by Fluid Jet in X*Acceleration due to Gravity)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(cos(Theta)+cos(Angle between Jet and Plate)))

Specific weight for force exerted by jet on vane in x direction

LaTeX Go Specific Weight of Liquid = (Force Exerted by Fluid Jet in X*Acceleration due to Gravity)/(Cross Sectional Area of Jet*(Fluid Jet Velocity^2)*(cos(Theta)+cos(Angle between Jet and Plate)))

Force exerted by jet on vane in x direction

LaTeX Go Force Exerted by Fluid Jet in X = ((Specific Weight of Liquid*Cross Sectional Area of Jet*(Fluid Jet Velocity^2))/Acceleration due to Gravity)*(cos(Theta)+cos(Angle between Jet and Plate))

Area of Cross Section for Force Exerted by Jet on Vane in x Direction

LaTeX Go Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in X*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(cos(Theta)+cos(Angle between Jet and Plate)))

Area of Cross Section for Force Exerted by Jet on Vane in x Direction Formula

LaTeX Go

What is Meant by Velocity?

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

What is Impact of jet on Vanes?

Turbines rotate due to force exerted by one or more water jets that are directed tangentially onto the turbine's vanes or buckets. The impact of the water on the vanes generates a torque on the wheel, causing it to rotate and to generate electricity.

How to Calculate Area of Cross Section for Force Exerted by Jet on Vane in x Direction?

Area of Cross Section for Force Exerted by Jet on Vane in x Direction calculator uses Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in X*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(cos(Theta)+cos(Angle between Jet and Plate))) to calculate the Cross Sectional Area of Jet, The Area of cross section for force exerted by jet on vane in x direction is defined as 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 Area of Cross Section for Force Exerted by Jet on Vane in x Direction using this online calculator? To use this online calculator for Area of Cross Section for Force Exerted by Jet on Vane in x Direction, enter Force Exerted by Fluid Jet in X (F_x), Acceleration due to Gravity (g), Specific Weight of Liquid (γ_f), Fluid Jet Velocity (v_jet), Theta (θ) & Angle between Jet and Plate (∠D) and hit the calculate button. Here is how the Area of Cross Section for Force Exerted by Jet on Vane in x Direction calculation can be explained with given input values -> 0.001202 = (320*9.8)/(9810*12^2*(cos(0.5235987755982)+cos(0.19198621771934))).

FAQ

What is Area of Cross Section for Force Exerted by Jet on Vane in x Direction?

The Area of cross section for force exerted by jet on vane in x direction is defined as 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 = (F_x*g)/(γ_f*v_jet^2*(cos(θ)+cos(∠D))) or Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in X*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(cos(Theta)+cos(Angle between Jet and Plate))). Force Exerted by Fluid Jet in X is the impact of jet on plates or vanes, its momentum is changed and a hydrodynamic force is exerted and liquid comes out from nozzle with a high velocity, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, 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, Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint & 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 Area of Cross Section for Force Exerted by Jet on Vane in x Direction?

The Area of cross section for force exerted by jet on vane in x direction is defined as 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 Fluid Jet in X*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(cos(Theta)+cos(Angle between Jet and Plate))). To calculate Area of Cross Section for Force Exerted by Jet on Vane in x Direction, you need Force Exerted by Fluid Jet in X (F_x), Acceleration due to Gravity (g), Specific Weight of Liquid (γ_f), Fluid Jet Velocity (v_jet), Theta (θ) & Angle between Jet and Plate (∠D). With our tool, you need to enter the respective value for Force Exerted by Fluid Jet in X, Acceleration due to Gravity, Specific Weight of Liquid, Fluid Jet Velocity, Theta & 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 Fluid Jet in X, Acceleration due to Gravity, Specific Weight of Liquid, Fluid Jet Velocity, Theta & Angle between Jet and Plate. We can use 1 other way(s) to calculate the same, which is/are as follows -

Cross Sectional Area of Jet = (Force Exerted by Fluid Jet in Y*Acceleration due to Gravity)/(Specific Weight of Liquid*Fluid Jet Velocity^2*(sin(Theta)-sin(Angle between Jet and Plate)))

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