Velocity at Inlet 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%
✖Velocity of Jet can be described as the movement of the plate in meters per second.ⓘ Velocity of Jet [v]			+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%
✖Radius of wheel is a radial line from the focus to any point of a curve.ⓘ Radius of wheel [r]			+10% -10%

✖The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.ⓘ Velocity at Inlet given Work Done on Wheel [v_f]

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Velocity at Inlet given Work Done on Wheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Final Velocity - (Measured in Meter per Second) - The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.
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.
Velocity of Jet - (Measured in Meter per Second) - Velocity of Jet can be described as the movement of the plate in meters per second.
Radius of Outlet - (Measured in Meter) - Radius of Outlet refers to the distance from the center of the outlet to its outer edge.
Radius of wheel - (Measured in Meter) - Radius of wheel is a radial line from the focus to any point of a curve.

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
Velocity of Jet: 9.69 Meter per Second --> 9.69 Meter per Second No Conversion Required
Radius of Outlet: 12 Meter --> 12 Meter No Conversion Required
Radius of wheel: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

v_f = (((w*G)/(w_f*ω))-v*r_O)/r --> (((3900*10)/(12.36*13))-9.69*12)/3

Evaluating ... ...

v_f = 42.1461488673139

STEP 3: Convert Result to Output's Unit

42.1461488673139 Meter per Second --> No Conversion Required

FINAL ANSWER

42.1461488673139 ≈ 42.14615 Meter per Second <-- Final Velocity

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Warangal

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National Institute of Technology Karnataka (NITK), Surathkal

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< Velocity at Inlet Calculators

Velocity at Inlet given Work Done on Wheel

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

Velocity at Inlet given Torque by Fluid

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

Velocity at Inlet when Work Done at Vane Angle is 90 and Velocity is Zero

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

Velocity at Inlet given Work Done on Wheel Formula

LaTeX Go

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

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 Inlet given Work Done on Wheel?

Velocity at Inlet given Work Done on Wheel calculator uses Final Velocity = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-Velocity of Jet*Radius of Outlet)/Radius of wheel to calculate the Final Velocity, Velocity at inlet 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 inlet of any object. Final Velocity is denoted by v_f symbol.

How to calculate Velocity at Inlet given Work Done on Wheel using this online calculator? To use this online calculator for Velocity at Inlet given Work Done on Wheel, enter Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Angular Velocity (ω), Velocity of Jet (v), Radius of Outlet (r_O) & Radius of wheel (r) and hit the calculate button. Here is how the Velocity at Inlet given Work Done on Wheel calculation can be explained with given input values -> 224.185 = (((3900*10)/(12.36*13))-9.69*12)/3.

FAQ

What is Velocity at Inlet given Work Done on Wheel?

Velocity at inlet 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 inlet of any object and is represented as v_f = (((w*G)/(w_f*ω))-v*r_O)/r or Final Velocity = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-Velocity of Jet*Radius of Outlet)/Radius of wheel. 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, Velocity of Jet can be described as the movement of the plate in meters per second, Radius of Outlet refers to the distance from the center of the outlet to its outer edge & Radius of wheel is a radial line from the focus to any point of a curve.

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

Velocity at inlet 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 inlet of any object is calculated using Final Velocity = (((Work Done*Specific Gravity of Fluid)/(Weight of Fluid*Angular Velocity))-Velocity of Jet*Radius of Outlet)/Radius of wheel. To calculate Velocity at Inlet given Work Done on Wheel, you need Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Angular Velocity (ω), Velocity of Jet (v), Radius of Outlet (r_O) & Radius of wheel (r). With our tool, you need to enter the respective value for Work Done, Specific Gravity of Fluid, Weight of Fluid, Angular Velocity, Velocity of Jet, Radius of Outlet & Radius of wheel 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 Final Velocity?

In this formula, Final Velocity uses Work Done, Specific Gravity of Fluid, Weight of Fluid, Angular Velocity, Velocity of Jet, Radius of Outlet & Radius of wheel. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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