Energy Output from Flywheel Calculator

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Design of Flywheel

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✖Moment of Inertia of Flywheel is the measure of the resistance of the flywheel's body to angular acceleration about central axis.ⓘ Moment of Inertia of Flywheel [I]			+10% -10%
✖Mean Angular Speed of Flywheel is the average angular speed of the rotating flywheel.ⓘ Mean Angular Speed of Flywheel [ω]			+10% -10%
✖Coefficient of fluctuation of flywheel speed is defined as the ratio of the maximum to the minimum angular velocity of the flywheel.ⓘ Coefficient of Fluctuation of Flywheel Speed [C_s]			+10% -10%

✖The Energy Output From Flywheel is defined as the energy that is supplied by the flywheel.ⓘ Energy Output from Flywheel [U_o]

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Formula

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Energy Output from Flywheel

Formula

`"U"_{"o"} = "I"*"ω"^2*"C"_{"s"}`

Example

`"782.1783J"="4.36E6kg*mm²"*("286rev/min")^2*"0.2"`

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Download Design of Flywheel Formulas PDF

Energy Output from Flywheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed
U_o = I*ω^2*C_s
This formula uses 4 Variables

Variables Used

Energy Output From Flywheel - (Measured in Joule) - The Energy Output From Flywheel is defined as the energy that is supplied by the flywheel.
Moment of Inertia of Flywheel - (Measured in Kilogram Square Meter) - Moment of Inertia of Flywheel is the measure of the resistance of the flywheel's body to angular acceleration about central axis.
Mean Angular Speed of Flywheel - (Measured in Radian per Second) - Mean Angular Speed of Flywheel is the average angular speed of the rotating flywheel.
Coefficient of Fluctuation of Flywheel Speed - Coefficient of fluctuation of flywheel speed is defined as the ratio of the maximum to the minimum angular velocity of the flywheel.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia of Flywheel: 4360000 Kilogram Square Millimeter --> 4.36 Kilogram Square Meter (Check conversion here)
Mean Angular Speed of Flywheel: 286 Revolution per Minute --> 29.9498499626976 Radian per Second (Check conversion here)
Coefficient of Fluctuation of Flywheel Speed: 0.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

U_o = I*ω^2*C_s --> 4.36*29.9498499626976^2*0.2

Evaluating ... ...

U_o = 782.178343151221

STEP 3: Convert Result to Output's Unit

782.178343151221 Joule --> No Conversion Required

FINAL ANSWER

782.178343151221 ≈ 782.1783 Joule <-- Energy Output From Flywheel

(Calculation completed in 00.004 seconds)

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< 21 Design of Flywheel Calculators

Tangential Stress in Rotating Flywheel at given Radius

Go Tangential Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*(Poisson Ratio for Flywheel+3)/8*(1-((3*Poisson Ratio for Flywheel+1)/(Poisson Ratio for Flywheel+3))*(Distance from Flywheel Centre/Outer Radius of Flywheel)^2)

Tensile Stress in Spokes of Rimmed Flywheel

Go Tensile Stress in Spokes of Flywheel = Tensile Force in Flywheel Rim/(Width of Rim of Flywheel*Thickness of Rim of Flywheel)+(6*Bending moment in flywheel spokes)/(Width of Rim of Flywheel*Thickness of Rim of Flywheel^2)

Radial Stress in Rotating Flywheel at given Radius

Go Radial Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)*(1-(Distance from Flywheel Centre/Outer Radius of Flywheel)^2)

Coefficient of Fluctuation of Flywheel Speed given Min and Max Speed

Go Coefficient of Fluctuation of Flywheel Speed = 2*(Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/(Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)

Outer Radius of Flywheel Disk

Go Outer Radius of Flywheel = ((2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Mass Density of Flywheel))^(1/4)

Coefficient of Fluctuation of Flywheel Speed given Mean Speed

Go Coefficient of Fluctuation of Flywheel Speed = (Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/Mean Angular Speed of Flywheel

Mass Density of Flywheel Disk

Go Mass Density of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Outer Radius of Flywheel^4)

Thickness of Flywheel Disk

Go Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4)

Moment of Inertia of Flywheel Disk

Go Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel

Coefficient of Steadiness of Flywheel given Mean Speed

Go Coefficient of Steadiness for Flywheel = Mean Angular Speed of Flywheel/(Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)

Energy Output from Flywheel

Go Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed

Maximum Radial or Tensile Stress in Flywheel

Go Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)

Moment of Inertia of Flywheel

Go Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel

Coefficient of Fluctuation of Flywheel Energy given Maximum Fluctuation of Flywheel Energy

Go Coefficient of Fluctuation of Flywheel Energy = Maximum Fluctuation of Energy for Flywheel/Work Done per Cycle for Engine

Maximum Fluctuation of Flywheel Energy given Coefficient of Fluctuation of Enaergy

Go Maximum Fluctuation of Energy for Flywheel = Coefficient of Fluctuation of Flywheel Energy*Work Done per Cycle for Engine

Work Done per Cycle for Engine connected to Flywheel

Go Work Done per Cycle for Engine = Maximum Fluctuation of Energy for Flywheel/Coefficient of Fluctuation of Flywheel Energy

Mean Angular Velocity of Flywheel

Go Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2

Mean Torque of Flywheel for Four Stroke Engine

Go Mean Torque for Flywheel = Work Done per Cycle for Engine/(4*pi)

Mean Torque of Flywheel for Two Stroke Engine

Go Mean Torque for Flywheel = Work Done per Cycle for Engine/(2*pi)

Work Done per Cycle for Four Stroke Engine connected to Flywheel

Go Work Done per Cycle for Engine = 4*pi*Mean Torque for Flywheel

Work Done per Cycle for Two Stroke Engine connected to Flywheel

Go Work Done per Cycle for Engine = 2*pi*Mean Torque for Flywheel

Energy Output from Flywheel Formula

Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed
U_o = I*ω^2*C_s

What is a flywheel?

A flywheel is a heavy rotating body that acts as a reservoir of energy. The energy is stored in the flywheel in the form of kinetic energy. The flywheel acts as an energy bank between the source of power and the driven machinery.

How to Calculate Energy Output from Flywheel?

Energy Output from Flywheel calculator uses Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed to calculate the Energy Output From Flywheel, Energy Output from Flywheel is defined as the output or the energy transfer by or from the flywheel. Energy Output From Flywheel is denoted by U_o symbol.

How to calculate Energy Output from Flywheel using this online calculator? To use this online calculator for Energy Output from Flywheel, enter Moment of Inertia of Flywheel (I), Mean Angular Speed of Flywheel (ω) & Coefficient of Fluctuation of Flywheel Speed (C_s) and hit the calculate button. Here is how the Energy Output from Flywheel calculation can be explained with given input values -> 782.1783 = 4.36*29.9498499626976^2*0.2.

FAQ

What is Energy Output from Flywheel?

Energy Output from Flywheel is defined as the output or the energy transfer by or from the flywheel and is represented as U_o = I*ω^2*C_s or Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed. Moment of Inertia of Flywheel is the measure of the resistance of the flywheel's body to angular acceleration about central axis, Mean Angular Speed of Flywheel is the average angular speed of the rotating flywheel & Coefficient of fluctuation of flywheel speed is defined as the ratio of the maximum to the minimum angular velocity of the flywheel.

How to calculate Energy Output from Flywheel?

Energy Output from Flywheel is defined as the output or the energy transfer by or from the flywheel is calculated using Energy Output From Flywheel = Moment of Inertia of Flywheel*Mean Angular Speed of Flywheel^2*Coefficient of Fluctuation of Flywheel Speed. To calculate Energy Output from Flywheel, you need Moment of Inertia of Flywheel (I), Mean Angular Speed of Flywheel (ω) & Coefficient of Fluctuation of Flywheel Speed (C_s). With our tool, you need to enter the respective value for Moment of Inertia of Flywheel, Mean Angular Speed of Flywheel & Coefficient of Fluctuation of Flywheel Speed 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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