Radius at Inlet 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 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%
✖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 at Inlet for Work Done on Wheel per Second [r]

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Formula

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Radius at Inlet for Work Done on Wheel per Second

Formula

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

Example

`"3.160961m"= ((("3.9KJ"*"10")/ ("12.36N"*"13rad/s"))-("9.69m/s"*"12m"))/"40m/s"`

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Download Torque Exerted on a Wheel with Radial Curved Vanes Formulas PDF

Radius at Inlet for Work Done on Wheel per Second Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Radius of wheel - (Measured in Meter) - Radius of wheel is a radial line from the focus to any point of a curve.
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.
Final Velocity - (Measured in Meter per Second) - The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.

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
Final Velocity: 40 Meter per Second --> 40 Meter per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r = (((w*G)/ (w_f*ω))-(v*r_O))/v_f --> (((3900*10)/ (12.36*13))-(9.69*12))/40

Evaluating ... ...

r = 3.16096116504854

STEP 3: Convert Result to Output's Unit

3.16096116504854 Meter --> No Conversion Required

FINAL ANSWER

3.16096116504854 ≈ 3.160961 Meter <-- Radius of wheel

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Fundamentals of Fluid Flow » Torque Exerted on a Wheel with Radial Curved Vanes » Radius at Inlet for Work Done on Wheel per Second

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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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< 21 Torque Exerted on a Wheel with Radial Curved Vanes Calculators

Radius at Inlet for Work Done on Wheel per Second

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

Radius at Outlet for Work Done on Wheel per Second

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

Angular Velocity for Work Done on Wheel per Second

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

Radius at Outlet for Torque Exerted by Fluid

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

Radius at Inlet with Known Torque by Fluid

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

Torque Exerted by Fluid

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

Initial Velocity for Work Done if Jet leaves in Motion of Wheel

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

Power Delivered to Wheel

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

Initial Velocity given Power Delivered to Wheel

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

Velocity for Work Done if there is no Loss of Energy

Go Final Velocity = sqrt(((Work Done*2*Specific Gravity of Fluid)/Weight of Fluid)+Velocity of Jet^2)

Angular Momentum at Outlet

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

Velocity given Angular Momentum at Outlet

Go Velocity of Jet = (Tangential Momentum*Specific Gravity of Fluid)/(Weight of Fluid*Radius of wheel)

Velocity given Angular Momentum at Inlet

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

Angular Momentum at Inlet

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

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

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

Speed of Wheel given Tangential Velocity at Outlet Tip of Vane

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

Speed of Wheel given Tangential Velocity at Inlet Tip of Vane

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

Velocity at Point given Efficiency of System

Go Velocity of Jet = sqrt(1-Efficiency of Jet)*Final Velocity

Velocity given Efficiency of System

Go Final Velocity = Velocity of Jet/sqrt(1-Efficiency of Jet)

Efficiency of System

Go Efficiency of Jet = (1-(Velocity of Jet/Final Velocity)^2)

Mass of Fluid Striking Vane per Second

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

Radius at Inlet for Work Done on Wheel per Second Formula

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

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 Radius at Inlet for Work Done on Wheel per Second?

Radius at Inlet for Work Done on Wheel per Second calculator uses Radius of wheel = (((Work Done*Specific Gravity of Fluid)/ (Weight of Fluid*Angular Velocity))-(Velocity of Jet*Radius of Outlet))/Final Velocity to calculate the Radius of wheel, The Radius at Inlet for work done on wheel per second is a straight line extending from the center of a circle or sphere to the circumference or surface. Radius of wheel is denoted by r symbol.

How to calculate Radius at Inlet for Work Done on Wheel per Second using this online calculator? To use this online calculator for Radius at Inlet for Work Done on Wheel per Second, 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) & Final Velocity (v_f) and hit the calculate button. Here is how the Radius at Inlet for Work Done on Wheel per Second calculation can be explained with given input values -> 16.81387 = (((3900*10)/ (12.36*13))-(9.69*12))/40.

FAQ

What is Radius at Inlet for Work Done on Wheel per Second?

The Radius at Inlet for work done on wheel per second is a straight line extending from the center of a circle or sphere to the circumference or surface and is represented as r = (((w*G)/ (w_f*ω))-(v*r_O))/v_f or Radius of wheel = (((Work Done*Specific Gravity of Fluid)/ (Weight of Fluid*Angular Velocity))-(Velocity of Jet*Radius of Outlet))/Final Velocity. 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 & The Final Velocity is the speed of a moving body after it has reached its maximum acceleration.

How to calculate Radius at Inlet for Work Done on Wheel per Second?

The Radius at Inlet for work done on wheel per second is a straight line extending from the center of a circle or sphere to the circumference or surface is calculated using Radius of wheel = (((Work Done*Specific Gravity of Fluid)/ (Weight of Fluid*Angular Velocity))-(Velocity of Jet*Radius of Outlet))/Final Velocity. To calculate Radius at Inlet for Work Done on Wheel per Second, 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) & Final Velocity (v_f). 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 & Final Velocity 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 Radius of wheel?

In this formula, Radius of wheel uses Work Done, Specific Gravity of Fluid, Weight of Fluid, Angular Velocity, Velocity of Jet, Radius of Outlet & Final Velocity. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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