Velocity for force exerted by jet on vane in x direction Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)))
vjet = sqrt(Fx*g)/(γf*AJet*(cos(θ)+cos(∠D)))
This formula uses 2 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)
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
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.
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) - 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.
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
Cross Sectional Area of Jet: 1.2 Square Meter --> 1.2 Square Meter 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
vjet = sqrt(Fx*g)/(γf*AJet*(cos(θ)+cos(∠D))) --> sqrt(320*9.8)/(9.81*1.2*(cos(0.5235987755982)+cos(0.19198621771934)))
Evaluating ... ...
vjet = 2.57464561329498
STEP 3: Convert Result to Output's Unit
2.57464561329498 Meter per Second --> No Conversion Required
FINAL ANSWER
2.57464561329498 2.574646 Meter per Second <-- Fluid Jet Velocity
(Calculation completed in 00.020 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)))

Velocity for force exerted by jet on vane in x direction Formula

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)))
vjet = sqrt(Fx*g)/(γf*AJet*(cos(θ)+cos(∠D)))

What is Meant by Specific Weight?

Specific Weight is defined as the weight of a substance per unit volume in absolute units equal to the density multiplied by the acceleration of gravity.

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 Velocity for force exerted by jet on vane in x direction?

Velocity for force exerted by jet on vane in x direction calculator uses 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))) to calculate the Fluid Jet Velocity, The Velocity for force exerted by jet on vane in x direction is the rate of change of its position with respect to a frame of reference, and is a function of time. Fluid Jet Velocity is denoted by vjet symbol.

How to calculate Velocity for force exerted by jet on vane in x direction using this online calculator? To use this online calculator for Velocity for force exerted by jet on vane in x direction, enter Force Exerted by Fluid Jet in X (Fx), Acceleration due to Gravity (g), Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet), Theta (θ) & Angle between Jet and Plate (∠D) and hit the calculate button. Here is how the Velocity for force exerted by jet on vane in x direction calculation can be explained with given input values -> 0.002161 = sqrt(320*9.8)/(9810*1.2*(cos(0.5235987755982)+cos(0.19198621771934))).

FAQ

What is Velocity for force exerted by jet on vane in x direction?
The Velocity for force exerted by jet on vane in x direction is the rate of change of its position with respect to a frame of reference, and is a function of time and is represented as vjet = sqrt(Fx*g)/(γf*AJet*(cos(θ)+cos(∠D))) or 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))). 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, 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, 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 Velocity for force exerted by jet on vane in x direction?
The Velocity for force exerted by jet on vane in x direction is the rate of change of its position with respect to a frame of reference, and is a function of time is calculated using 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))). To calculate Velocity for force exerted by jet on vane in x direction, you need Force Exerted by Fluid Jet in X (Fx), Acceleration due to Gravity (g), Specific Weight of Liquid f), Cross Sectional Area of Jet (AJet), 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, Cross Sectional Area of Jet, 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 Fluid Jet Velocity?
In this formula, Fluid Jet Velocity uses Force Exerted by Fluid Jet in X, Acceleration due to Gravity, Specific Weight of Liquid, Cross Sectional Area of Jet, Theta & Angle between Jet and Plate. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))))
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