Velocity of jet 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%
✖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%
✖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 jet given dynamic thrust exerted by jet on plate [v]

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Formula

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Velocity of jet given dynamic thrust exerted by jet on plate

Formula

`"v" = -(sqrt(("m"_{"f"}*"G")/ ("γ"_{"f"}*"A"_{"Jet"}))-"V"_{"absolute"})`

Example

`"10.07235m/s"= -(sqrt(("0.9kg"*"10")/ ("9.81kN/m³"*"1.2m²"))-"10.1m/s")`

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

Velocity of jet given dynamic thrust exerted by jet on plate Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Jet = -(sqrt((Fluid Mass*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet))-Absolute Velocity of Issuing Jet)
v = -(sqrt((m_f*G)/ (γ_f*A_Jet))-V_absolute)
This formula uses 1 Functions, 6 Variables

Functions Used

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.
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 Newton 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.
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

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 --> 9810 Newton per Cubic Meter (Check conversion here)
Cross Sectional Area of Jet: 1.2 Square Meter --> 1.2 Square Meter No Conversion Required
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((m_f*G)/ (γ_f*A_Jet))-V_absolute) --> -(sqrt((0.9*10)/ (9810*1.2))-10.1)

Evaluating ... ...

v = 10.0723499368195

STEP 3: Convert Result to Output's Unit

10.0723499368195 Meter per Second --> No Conversion Required

FINAL ANSWER

10.0723499368195 ≈ 10.07235 Meter per Second <-- Velocity of Jet

(Calculation completed in 00.020 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 Normal to the Jet » Velocity of jet given dynamic thrust exerted by jet on plate

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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

Verified by Mithila Muthamma PA

Coorg Institute of Technology (CIT), Coorg

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< 6 Flat Plate Normal to the Jet Calculators

Work Done by Jet on Plate per Second

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

Velocity of jet given dynamic thrust exerted by jet on plate

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

Absolute Velocity given Thrust Exerted by Jet on Plate

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

Velocity of jet for mass of fluid striking plate

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

Dynamic Thrust Exerted on Plate by Jet

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

Efficiency of Wheel

Go Efficiency of Jet = (2*Velocity of Jet*(Absolute Velocity of Issuing Jet-Velocity of Jet))/Absolute Velocity of Issuing Jet^2

Velocity of jet given dynamic thrust exerted by jet on plate Formula

What is meant by Specific Gravity?

Specific Gravity is a dimensionless quantity that is defined as the ratio of the density of a substance to the density of the water at a specified temperature.

What is velocity of jet?

A jet is a stream of fluid that is projected into a surrounding medium, usually from some kind of a nozzle, aperture or orifice. Jets can travel long distances without dissipating. Jet fluid has higher momentum compared to the surrounding fluid medium.

How to Calculate Velocity of jet given dynamic thrust exerted by jet on plate?

Velocity of jet given dynamic thrust exerted by jet on plate calculator uses Velocity of Jet = -(sqrt((Fluid Mass*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet))-Absolute Velocity of Issuing Jet) to calculate the Velocity of Jet, The Velocity of jet given dynamic thrust exerted by jet on plate is the rate of change of its position with respect to a frame of reference, and is a function of time. Velocity of Jet is denoted by v symbol.

How to calculate Velocity of jet given dynamic thrust exerted by jet on plate using this online calculator? To use this online calculator for Velocity of jet given dynamic thrust exerted by jet on plate, enter Fluid Mass (m_f), Specific Gravity of Fluid (G), Specific Weight of Liquid (γ_f), Cross Sectional Area of Jet (A_Jet) & Absolute Velocity of Issuing Jet (V_absolute) and hit the calculate button. Here is how the Velocity of jet given dynamic thrust exerted by jet on plate calculation can be explained with given input values -> 9.97235 = -(sqrt((0.9*10)/ (9810*1.2))-10.1).

FAQ

What is Velocity of jet given dynamic thrust exerted by jet on plate?

The Velocity of jet given dynamic thrust exerted by jet on plate 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 v = -(sqrt((m_f*G)/ (γ_f*A_Jet))-V_absolute) or Velocity of Jet = -(sqrt((Fluid Mass*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet))-Absolute Velocity of Issuing Jet). 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, 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 & Absolute Velocity of Issuing Jet is actual velocity of jet used in propeller.

How to calculate Velocity of jet given dynamic thrust exerted by jet on plate?

The Velocity of jet given dynamic thrust exerted by jet on plate is the rate of change of its position with respect to a frame of reference, and is a function of time is calculated using Velocity of Jet = -(sqrt((Fluid Mass*Specific Gravity of Fluid)/ (Specific Weight of Liquid*Cross Sectional Area of Jet))-Absolute Velocity of Issuing Jet). To calculate Velocity of jet 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), Cross Sectional Area of Jet (A_Jet) & Absolute Velocity of Issuing Jet (V_absolute). With our tool, you need to enter the respective value for Fluid Mass, Specific Gravity of Fluid, Specific Weight of Liquid, Cross Sectional Area of Jet & 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 Fluid Mass, Specific Gravity of Fluid, Specific Weight of Liquid, Cross Sectional Area of Jet & Absolute Velocity of Issuing Jet. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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