Force exerted by jet on vane in x direction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))
Fx = ((γf*AJet*(vjet^2))/g)*(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
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.
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.
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 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.
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.
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
Specific Weight of Liquid: 9.81 Kilonewton per Cubic Meter --> 9.81 Kilonewton per Cubic Meter No Conversion Required
Cross Sectional Area of Jet: 1.2 Square Meter --> 1.2 Square Meter No Conversion Required
Fluid Jet Velocity: 12 Meter per Second --> 12 Meter per Second No Conversion Required
Acceleration due to Gravity: 9.8 Meter per Square Second --> 9.8 Meter per Square 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
Fx = ((γf*AJet*(vjet^2))/g)*(cos(θ)+cos(∠D)) --> ((9.81*1.2*(12^2))/9.8)*(cos(0.5235987755982)+cos(0.19198621771934))
Evaluating ... ...
Fx = 319.600157244192
STEP 3: Convert Result to Output's Unit
319.600157244192 Newton --> No Conversion Required
FINAL ANSWER
319.600157244192 319.6002 Newton <-- Force Exerted by Fluid Jet in X
(Calculation completed in 00.004 seconds)

Credits

Created by M Naveen
National Institute of Technology (NIT), Warangal
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Coorg Institute of Technology (CIT), Coorg
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8 Jet Striking an Unsymmetrical Stationary Curved Vane Tangentially at one of the Tips Calculators

Velocity given Force Exerted by Jet on Vane in Y Direction
Go Fluid Jet Velocity = sqrt((Force Exerted by Fluid Jet in Y*Acceleration due to Gravity)/(Specific Weight of Liquid*Cross Sectional Area of Jet*((sin(Theta))-sin(Angle between Jet and Plate))))
Velocity for force exerted by jet on vane in x direction
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 given Force Exerted by Jet on Vane in Y Direction
Go Specific Weight of Liquid = (Force Exerted by Fluid Jet in Y*Acceleration due to Gravity)/(Cross Sectional Area of Jet*Fluid Jet Velocity^2*((sin(Theta))-sin(Angle between Jet and Plate)))
Specific weight for force exerted by jet on vane in x direction
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
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))
Force Exerted by Jet on Vane in Y-Direction
Go Force Exerted by Fluid Jet in Y = ((Specific Weight of Liquid*Cross Sectional Area of Jet*Fluid Jet Velocity^2)/Acceleration due to Gravity)*((sin(Theta))-sin(Angle between Jet and Plate))
Area of Cross Section for given Force Exerted by Jet on Vane in Y Direction
Go 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)))
Area of Cross Section for Force Exerted by Jet on Vane in x Direction
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)))

Force exerted by jet on vane in x direction Formula

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))
Fx = ((γf*AJet*(vjet^2))/g)*(cos(θ)+cos(∠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.

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 Force exerted by jet on vane in x direction?

Force exerted by jet on vane in x direction calculator uses 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)) to calculate the Force Exerted by Fluid Jet in X, The Force exerted by jet on vane in x direction is defined as the force induced by the fluid on the stationary plate of jet in X direction. Force Exerted by Fluid Jet in X is denoted by Fx symbol.

How to calculate Force exerted by jet on vane in x direction using this online calculator? To use this online calculator for Force exerted by jet on vane in x direction, enter Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet), Fluid Jet Velocity (vjet), Acceleration due to Gravity (g), Theta (θ) & Angle between Jet and Plate (∠D) and hit the calculate button. Here is how the Force exerted by jet on vane in x direction calculation can be explained with given input values -> 380856.9 = ((9810*1.2*(12^2))/9.8)*(cos(0.5235987755982)+cos(0.19198621771934)).

FAQ

What is Force exerted by jet on vane in x direction?
The Force exerted by jet on vane in x direction is defined as the force induced by the fluid on the stationary plate of jet in X direction and is represented as Fx = ((γf*AJet*(vjet^2))/g)*(cos(θ)+cos(∠D)) or 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)). 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, Fluid Jet Velocity is the volume of fluid flowing in the given vessel per unit cross sectional area, The Acceleration due to Gravity is acceleration gained by an object because of gravitational force, 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 Force exerted by jet on vane in x direction?
The Force exerted by jet on vane in x direction is defined as the force induced by the fluid on the stationary plate of jet in X direction is calculated using 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)). To calculate Force exerted by jet on vane in x direction, you need Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet), Fluid Jet Velocity (vjet), Acceleration due to Gravity (g), Theta (θ) & Angle between Jet and Plate (∠D). With our tool, you need to enter the respective value for Specific Weight of Liquid, Cross Sectional Area of Jet, Fluid Jet Velocity, Acceleration due to Gravity, 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.
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