Velocity at Outlet given Work Done on Wheel Calculator

✖Work done by/on a system is energy transferred by/to the system to/from its surroundings.ⓘ Work Done [w]			+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%
✖Weight of Fluid is the weight of fluid in Newtons or Kilo newton.ⓘ Weight of Fluid [w_f]			+10% -10%
✖The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.ⓘ Angular Velocity [ω]			+10% -10%
✖The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.ⓘ Final Velocity [v_f]			+10% -10%
✖Radius of wheel is a radial line from the focus to any point of a curve.ⓘ Radius of wheel [r]			+10% -10%
✖Radius of Outlet refers to the distance from the center of the outlet to its outer edge.ⓘ Radius of Outlet [r_O]			+10% -10%

✖Velocity of Jet can be described as the movement of the plate in meters per second.ⓘ Velocity at Outlet given Work Done on Wheel [v]

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Formula

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Velocity at Outlet given Work Done on Wheel

Formula

`"v" = ((("w"*"G")/("w"_{"f"}*"ω"))-("v"_{"f"}*"r"))/"r"_{"O"}`

Example

`"10.22654m/s"=((("3.9KJ"*"10")/("12.36N"*"13rad/s"))-("40m/s"*"3m"))/"12m"`

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Velocity at Outlet given Work Done on Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Final Velocity*Radius of wheel))/Radius of Outlet
v = (((w*G)/(w_f*ω))-(v_f*r))/r_O
This formula uses 8 Variables

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.
Work Done - (Measured in Joule) - Work done by/on a system is energy transferred by/to the system to/from its surroundings.
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.
Weight of Fluid - (Measured in Newton) - Weight of Fluid is the weight of fluid in Newtons or Kilo newton.
Angular Velocity - (Measured in Radian per Second) - The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time.
Final Velocity - (Measured in Meter per Second) - The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.
Radius of wheel - (Measured in Meter) - Radius of wheel is a radial line from the focus to any point of a curve.
Radius of Outlet - (Measured in Meter) - Radius of Outlet refers to the distance from the center of the outlet to its outer edge.

STEP 1: Convert Input(s) to Base Unit

Work Done: 3.9 Kilojoule --> 3900 Joule (Check conversion here)
Specific Gravity of Fluid: 10 --> No Conversion Required
Weight of Fluid: 12.36 Newton --> 12.36 Newton No Conversion Required
Angular Velocity: 13 Radian per Second --> 13 Radian per Second No Conversion Required
Final Velocity: 40 Meter per Second --> 40 Meter per Second No Conversion Required
Radius of wheel: 3 Meter --> 3 Meter No Conversion Required
Radius of Outlet: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v = (((w*G)/(w_f*ω))-(v_f*r))/r_O --> (((3900*10)/(12.36*13))-(40*3))/12

Evaluating ... ...

v = 10.2265372168285

STEP 3: Convert Result to Output's Unit

10.2265372168285 Meter per Second --> No Conversion Required

FINAL ANSWER

10.2265372168285 ≈ 10.22654 Meter per Second <-- Velocity of Jet

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Fundamentals of Fluid Flow » Torque Exerted on a Wheel with Radial Curved Vanes » Velocity at Outlet » Velocity at Outlet given Work Done on Wheel

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National Institute of Technology (NIT), Warangal

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< 4 Velocity at Outlet Calculators

Velocity at Outlet given Work Done on Wheel

Go Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Final Velocity*Radius of wheel))/Radius of Outlet

Velocity at Outlet given Torque by Fluid

Go Velocity of Jet = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)-(Final Velocity*Radius of wheel))/Radius of Outlet

Velocity at Outlet given Power Delivered to Wheel

Go Velocity of Jet = (((Power Delivered*Specific Gravity of Fluid)/Weight of Fluid)-(Final Velocity*Initial Velocity))/Final Velocity

Velocity at Outlet given Work Done if Jet leaves in Motion of Wheel

Go Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/Weight of Fluid)-(Final Velocity*Initial Velocity))/Final Velocity

Velocity at Outlet given Work Done on Wheel Formula

Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Final Velocity*Radius of wheel))/Radius of Outlet
v = (((w*G)/(w_f*ω))-(v_f*r))/r_O

What is meant by Angular Velocity?

The amount of change of angular displacement of the particle at a given period of time is called angular velocity.

How to Calculate Velocity at Outlet given Work Done on Wheel?

Velocity at Outlet given Work Done on Wheel calculator uses Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Final Velocity*Radius of wheel))/Radius of Outlet to calculate the Velocity of Jet, Velocity at outlet given work done on wheel is the rate of change of its position with respect to a frame of reference and is a function of time at an outlet of any object. Velocity of Jet is denoted by v symbol.

How to calculate Velocity at Outlet given Work Done on Wheel using this online calculator? To use this online calculator for Velocity at Outlet given Work Done on Wheel, enter Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Angular Velocity (ω), Final Velocity (v_f), Radius of wheel (r) & Radius of Outlet (r_O) and hit the calculate button. Here is how the Velocity at Outlet given Work Done on Wheel calculation can be explained with given input values -> 55.73625 = (((3900*10)/(12.36*13))-(40*3))/12.

FAQ

What is Velocity at Outlet given Work Done on Wheel?

Velocity at outlet given work done on wheel is the rate of change of its position with respect to a frame of reference and is a function of time at an outlet of any object and is represented as v = (((w*G)/(w_f*ω))-(v_f*r))/r_O or Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Final Velocity*Radius of wheel))/Radius of Outlet. Work done by/on a system is energy transferred by/to the system to/from its surroundings, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid, Weight of Fluid is the weight of fluid in Newtons or Kilo newton, The Angular Velocity refers to how fast an object rotates or revolves relative to another point, i.e. how fast the angular position or orientation of an object changes with time, The Final Velocity is the speed of a moving body after it has reached its maximum acceleration, Radius of wheel is a radial line from the focus to any point of a curve & Radius of Outlet refers to the distance from the center of the outlet to its outer edge.

How to calculate Velocity at Outlet given Work Done on Wheel?

Velocity at outlet given work done on wheel is the rate of change of its position with respect to a frame of reference and is a function of time at an outlet of any object is calculated using Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-(Final Velocity*Radius of wheel))/Radius of Outlet. To calculate Velocity at Outlet given Work Done on Wheel, you need Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Angular Velocity (ω), Final Velocity (v_f), Radius of wheel (r) & Radius of Outlet (r_O). With our tool, you need to enter the respective value for Work Done, Specific Gravity of Fluid, Weight of Fluid, Angular Velocity, Final Velocity, Radius of wheel & Radius of Outlet 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 Work Done, Specific Gravity of Fluid, Weight of Fluid, Angular Velocity, Final Velocity, Radius of wheel & Radius of Outlet. We can use 3 other way(s) to calculate the same, which is/are as follows -

Velocity of Jet = (((Torque Exerted on Wheel*Specific Gravity of Fluid)/Weight of Fluid)-(Final Velocity*Radius of wheel))/Radius of Outlet
Velocity of Jet = (((Power Delivered*Specific Gravity of Fluid)/Weight of Fluid)-(Final Velocity*Initial Velocity))/Final Velocity
Velocity of Jet = (((Work Done*Specific Gravity of Fluid)/Weight of Fluid)-(Final Velocity*Initial Velocity))/Final Velocity

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