Velocity of Vane given Exerted Force by Jet Calculator

✖Force exerted by Jet on the surface is equal and opposite to this force.ⓘ Force exerted by Jet [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%
✖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 of Jet [A_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%
✖Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.ⓘ Absolute Velocity of Issuing Jet [V_absolute]			+10% -10%

✖Velocity of Jet can be described as the movement of the plate in meters per second.ⓘ Velocity of Vane given Exerted Force by Jet [v]

⎘ Copy

👎

Formula

✖

Velocity of Vane given Exerted Force by Jet

Formula

`"v" = -(sqrt(("F"*"G")/ ("γ"_{"f"}*"A"_{"Jet"}*(1+cos("θ"))))-"V"_{"absolute"})`

Example

`"9.033192m/s"= -(sqrt(("2.5N"*"10")/ ("9.81kN/m³"*"1.2m²"*(1+cos("30°"))))-"10.1m/s")`

Calculator

LaTeX

Reset

👍

Download Force Exerted by Fluid Jet on Moving Curved Vane Formulas PDF

Velocity of Vane given Exerted Force by Jet Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Jet = -(sqrt((Force exerted by Jet*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))-Absolute Velocity of Issuing Jet)
v = -(sqrt((F*G)/ (γ_f*A_Jet*(1+cos(θ))))-V_absolute)
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

Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Force exerted by Jet - (Measured in Newton) - Force exerted by Jet on the surface is equal and opposite to this force.
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.
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.
Absolute Velocity of Issuing Jet - (Measured in Meter per Second) - Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

STEP 1: Convert Input(s) to Base Unit

Force exerted by Jet: 2.5 Newton --> 2.5 Newton 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
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)
Absolute Velocity of Issuing Jet: 10.1 Meter per Second --> 10.1 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = -(sqrt((F*G)/ (γ_f*A_Jet*(1+cos(θ))))-V_absolute) --> -(sqrt((2.5*10)/ (9.81*1.2*(1+cos(0.5235987755982))))-10.1)

Evaluating ... ...

v = 9.03319239823313

STEP 3: Convert Result to Output's Unit

9.03319239823313 Meter per Second --> No Conversion Required

FINAL ANSWER

9.03319239823313 ≈ 9.033192 Meter per Second <-- Velocity of Jet

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Impact of Free Jets » Force Exerted by Fluid Jet on Moving Curved Vane » Jet Striking a Symmetrical Moving Curved Vane at Centre » Velocity of Vane given Exerted Force by Jet

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has created this Calculator and 500+ more calculators!

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has verified this Calculator and 400+ more calculators!

< 10+ Jet Striking a Symmetrical Moving Curved Vane at Centre Calculators

Velocity of Vane given Exerted Force by Jet

Go Velocity of Jet = -(sqrt((Force exerted by Jet*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))-Absolute Velocity of Issuing Jet)

Work Done by Jet on Vane per Second

Go Work Done = ((Specific Weight of Liquid*Cross Sectional Area of Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2)/ Specific Gravity of Fluid)*(1+cos(Theta))*Velocity of Jet

Absolute Velocity for Force Exerted by Jet in Direction of Flow of Incoming Jet

Go Absolute Velocity of Issuing Jet = (sqrt(Force exerted by Jet*Specific Gravity of Fluid)/(Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))+Velocity of Jet

Efficiency of Jet

Go Efficiency of Jet = ((2*Velocity of Jet)*(Absolute Velocity of Issuing Jet-Velocity of Jet)^2*(1+cos(Theta)))*100/(Absolute Velocity of Issuing Jet^3)

Velocity of Vane for given Mass of Fluid

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

Absolute Velocity for Mass of Fluid Striking Vane per Second

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

Mass of Fluid Striking Vane per Seconds

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

Kinetic Energy of Jet per Second

Go Kinetic Energy = (Cross Sectional Area of Jet*Fluid Jet Velocity^3)/(2)

Work Done per Second given Efficiency of Wheel

Go Work Done = Efficiency of Jet*Kinetic Energy

Maximum Efficiency

Go Maximum Efficiency = (1/2)*(1+cos(Theta))

Velocity of Vane given Exerted Force by Jet Formula

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.

How to Calculate Velocity of Vane given Exerted Force by Jet?

Velocity of Vane given Exerted Force by Jet calculator uses Velocity of Jet = -(sqrt((Force exerted by Jet*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))-Absolute Velocity of Issuing Jet) to calculate the Velocity of Jet, Velocity of Vane given Exerted Force by Jet is defined as the speed at which the vane moves in response to the impact of the jet. It represents the rate of change of the vane's position and is determined by the magnitude and direction of the force applied by the jet. Velocity of Jet is denoted by v symbol.

How to calculate Velocity of Vane given Exerted Force by Jet using this online calculator? To use this online calculator for Velocity of Vane given Exerted Force by Jet, enter Force exerted by Jet (F), Specific Gravity of Fluid (G), Specific Weight of Liquid (γ_f), Cross Sectional Area of Jet (A_Jet), Theta (θ) & Absolute Velocity of Issuing Jet (V_absolute) and hit the calculate button. Here is how the Velocity of Vane given Exerted Force by Jet calculation can be explained with given input values -> 8.933192 = -(sqrt((2.5*10)/ (9810*1.2*(1+cos(0.5235987755982))))-10.1).

FAQ

What is Velocity of Vane given Exerted Force by Jet?

Velocity of Vane given Exerted Force by Jet is defined as the speed at which the vane moves in response to the impact of the jet. It represents the rate of change of the vane's position and is determined by the magnitude and direction of the force applied by the jet and is represented as v = -(sqrt((F*G)/ (γ_f*A_Jet*(1+cos(θ))))-V_absolute) or Velocity of Jet = -(sqrt((Force exerted by Jet*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))-Absolute Velocity of Issuing Jet). Force exerted by Jet on the surface is equal and opposite to this force, 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, 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 & Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

How to calculate Velocity of Vane given Exerted Force by Jet?

Velocity of Vane given Exerted Force by Jet is defined as the speed at which the vane moves in response to the impact of the jet. It represents the rate of change of the vane's position and is determined by the magnitude and direction of the force applied by the jet is calculated using Velocity of Jet = -(sqrt((Force exerted by Jet*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet*(1+cos(Theta))))-Absolute Velocity of Issuing Jet). To calculate Velocity of Vane given Exerted Force by Jet, you need Force exerted by Jet (F), Specific Gravity of Fluid (G), Specific Weight of Liquid (γ_f), Cross Sectional Area of Jet (A_Jet), Theta (θ) & Absolute Velocity of Issuing Jet (V_absolute). With our tool, you need to enter the respective value for Force exerted by Jet, Specific Gravity of Fluid, Specific Weight of Liquid, Cross Sectional Area of Jet, Theta & Absolute Velocity of Issuing Jet 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 Velocity of Jet?

In this formula, Velocity of Jet uses Force exerted by Jet, Specific Gravity of Fluid, Specific Weight of Liquid, Cross Sectional Area of Jet, Theta & Absolute Velocity of Issuing Jet. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

Home

FREE PDFs

🔍 Search