Angular Velocity for Work Done on Wheel per Second 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 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%
✖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%

✖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 for Work Done on Wheel per Second [ω]

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Angular Velocity for Work Done on Wheel per Second Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
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.
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.

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
Final Velocity: 40 Meter per Second --> 40 Meter per Second No Conversion Required
Radius of wheel: 3 Meter --> 3 Meter 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (w*G)/(w_f*(v_f*r+v*r_O)) --> (3900*10)/(12.36*(40*3+9.69*12))

Evaluating ... ...

ω = 13.3542399095363

STEP 3: Convert Result to Output's Unit

13.3542399095363 Radian per Second --> No Conversion Required

FINAL ANSWER

13.3542399095363 ≈ 13.35424 Radian per Second <-- Angular Velocity

(Calculation completed in 00.004 seconds)

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Created by M Naveen

National Institute of Technology (NIT), Warangal

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National Institute of Technology Karnataka (NITK), Surathkal

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< Torque Exerted on a Wheel with Radial Curved Vanes Calculators

Angular Momentum at Inlet

LaTeX Go Angular Momentum = ((Weight of Fluid*Final Velocity)/Specific Gravity of Fluid)*Radius of wheel

Speed of Wheel given Tangential Velocity at Outlet Tip of Vane

LaTeX Go Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of Outlet)

Speed of Wheel given Tangential Velocity at Inlet Tip of Vane

LaTeX Go Angular Speed = (Tangential Velocity*60)/(2*pi*Radius of wheel)

Mass of Fluid Striking Vane per Second

LaTeX Go Fluid Mass = Weight of Fluid/Specific Gravity of Fluid

Angular Velocity for Work Done on Wheel per Second Formula

LaTeX Go

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

What is meant by Work Done?

Work done is defined as the product of magnitude of displacement d and the component of force in the direction of displacement.

How to Calculate Angular Velocity for Work Done on Wheel per Second?

Angular Velocity for Work Done on Wheel per Second calculator uses Angular Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)) to calculate the Angular Velocity, The Angular Velocity for Work Done on Wheel per Second is amount of change of angular displacement of particle at a given period of time. Angular Velocity is denoted by ω symbol.

How to calculate Angular Velocity for Work Done on Wheel per Second using this online calculator? To use this online calculator for Angular Velocity for Work Done on Wheel per Second, enter Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Final Velocity (v_f), Radius of wheel (r), Velocity of Jet (v) & Radius of Outlet (r_O) and hit the calculate button. Here is how the Angular Velocity for Work Done on Wheel per Second calculation can be explained with given input values -> 13.35424 = (3900*10)/(12.36*(40*3+9.69*12)).

FAQ

What is Angular Velocity for Work Done on Wheel per Second?

The Angular Velocity for Work Done on Wheel per Second is amount of change of angular displacement of particle at a given period of time and is represented as ω = (w*G)/(w_f*(v_f*r+v*r_O)) or Angular Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*(Final Velocity*Radius of wheel+Velocity of Jet*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 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, 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.

How to calculate Angular Velocity for Work Done on Wheel per Second?

The Angular Velocity for Work Done on Wheel per Second is amount of change of angular displacement of particle at a given period of time is calculated using Angular Velocity = (Work Done*Specific Gravity of Fluid)/(Weight of Fluid*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)). To calculate Angular Velocity for Work Done on Wheel per Second, you need Work Done (w), Specific Gravity of Fluid (G), Weight of Fluid (w_f), Final Velocity (v_f), Radius of wheel (r), Velocity of Jet (v) & 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, Final Velocity, Radius of wheel, Velocity of Jet & Radius of Outlet and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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