Work Done on Wheel per Second Calculator

✖Weight of Fluid is the weight of fluid in Newtons or Kilo newton.ⓘ Weight of Fluid [w_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%
✖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 [ω]			+10% -10%

✖Work done by/on a system is energy transferred by/to the system to/from its surroundings.ⓘ Work Done on Wheel per Second [w]

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Formula

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Work Done on Wheel per Second

Formula

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

Example

`"3.796547KJ"=("12.36N"/"10")*("40m/s"*"3m"+"9.69m/s"*"12m")*"13rad/s"`

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

Work Done on Wheel per Second Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Work Done - (Measured in Joule) - Work done by/on a system is energy transferred by/to the system to/from its surroundings.
Weight of Fluid - (Measured in Newton) - Weight of Fluid is the weight of fluid in Newtons or Kilo newton.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Weight of Fluid: 12.36 Newton --> 12.36 Newton No Conversion Required
Specific Gravity of Fluid: 10 --> 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
Angular Velocity: 13 Radian per Second --> 13 Radian per Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (w_f/G)*(v_f*r+v*r_O)*ω --> (12.36/10)*(40*3+9.69*12)*13

Evaluating ... ...

w = 3796.54704

STEP 3: Convert Result to Output's Unit

3796.54704 Joule -->3.79654704 Kilojoule (Check conversion here)

FINAL ANSWER

3.79654704 ≈ 3.796547 Kilojoule <-- Work Done

(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 » Work Done » Work Done on Wheel per Second

Credits

Created by M Naveen

National Institute of Technology (NIT), Warangal

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

Verified by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< 4 Work Done Calculators

Work Done on Wheel per Second

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

Work Done if Jet leaves in Direction as that of Motion of Wheel

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

Work Done if there is no Loss of Energy

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

Work Done for Radial Discharge at Vane Angle is 90 and Velocity is Zero

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

Work Done on Wheel per Second Formula

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

What work is done by hydraulic pump?

Hydraulic pumps convert electrical energy into fluid pressure by using an electric motor to drive the pump. They are necessary for all hydraulic drives. The fluid pressure is then delivered by hydraulic fluid to cylinders and actuators and hydraulic motors at the required pressure level and volume.

How to Calculate Work Done on Wheel per Second?

Work Done on Wheel per Second calculator uses Work Done = (Weight of Fluid/Specific Gravity of Fluid)*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)*Angular Velocity to calculate the Work Done, The Work Done on Wheel per Second is defined as product of magnitude of displacement d and component of force in direction of displacement. Work Done is denoted by w symbol.

How to calculate Work Done on Wheel per Second using this online calculator? To use this online calculator for Work Done on Wheel per Second, enter Weight of Fluid (w_f), Specific Gravity of Fluid (G), Final Velocity (v_f), Radius of wheel (r), Velocity of Jet (v), Radius of Outlet (r_O) & Angular Velocity (ω) and hit the calculate button. Here is how the Work Done on Wheel per Second calculation can be explained with given input values -> 0.001168 = (12.36/10)*(40*3+9.69*12)*13.

FAQ

What is Work Done on Wheel per Second?

The Work Done on Wheel per Second is defined as product of magnitude of displacement d and component of force in direction of displacement and is represented as w = (w_f/G)*(v_f*r+v*r_O)*ω or Work Done = (Weight of Fluid/Specific Gravity of Fluid)*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)*Angular Velocity. Weight of Fluid is the weight of fluid in Newtons or Kilo newton, Specific Gravity of Fluid is the ratio of the specific weight of a substance to the specific weight of a standard fluid, 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 & 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.

How to calculate Work Done on Wheel per Second?

The Work Done on Wheel per Second is defined as product of magnitude of displacement d and component of force in direction of displacement is calculated using Work Done = (Weight of Fluid/Specific Gravity of Fluid)*(Final Velocity*Radius of wheel+Velocity of Jet*Radius of Outlet)*Angular Velocity. To calculate Work Done on Wheel per Second, you need Weight of Fluid (w_f), Specific Gravity of Fluid (G), Final Velocity (v_f), Radius of wheel (r), Velocity of Jet (v), Radius of Outlet (r_O) & Angular Velocity (ω). With our tool, you need to enter the respective value for Weight of Fluid, Specific Gravity of Fluid, Final Velocity, Radius of wheel, Velocity of Jet, Radius of Outlet & Angular 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 Work Done?

In this formula, Work Done uses Weight of Fluid, Specific Gravity of Fluid, Final Velocity, Radius of wheel, Velocity of Jet, Radius of Outlet & Angular Velocity. We can use 3 other way(s) to calculate the same, which is/are as follows -

Work Done = (Weight of Fluid/Specific Gravity of Fluid)*(Final Velocity*Initial Velocity-Velocity of Jet*Final Velocity)
Work Done = (Weight of Fluid/Specific Gravity of Fluid)*(Final Velocity*Initial Velocity)
Work Done = (Weight of Fluid/2*Specific Gravity of Fluid)*(Final Velocity^2-Velocity of Jet^2)

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