Mean Angular Velocity of Flywheel Calculator

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Design of Flywheel

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✖Maximum angular speed of flywheel is the maximum rpm of the flywheel.ⓘ Maximum Angular Speed of Flywheel [n_max]			+10% -10%
✖Minimum angular speed of flywheel is the minimum rpm of the flywheel.ⓘ Minimum Angular Speed of Flywheel [n_min]			+10% -10%

✖Mean Angular Speed of Flywheel is the average angular speed of the rotating flywheel.ⓘ Mean Angular Velocity of Flywheel [ω]

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Formula

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Mean Angular Velocity of Flywheel

Formula

`"ω" = ("n"_{"max"}+"n"_{"min"})/2`

Example

`"286rev/min"=("314.6rev/min"+"257.4rev/min")/2`

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Download Design of Flywheel Formulas PDF

Mean Angular Velocity of Flywheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2
ω = (n_max+n_min)/2
This formula uses 3 Variables

Variables Used

Mean Angular Speed of Flywheel - (Measured in Radian per Second) - Mean Angular Speed of Flywheel is the average angular speed of the rotating flywheel.
Maximum Angular Speed of Flywheel - (Measured in Radian per Second) - Maximum angular speed of flywheel is the maximum rpm of the flywheel.
Minimum Angular Speed of Flywheel - (Measured in Radian per Second) - Minimum angular speed of flywheel is the minimum rpm of the flywheel.

STEP 1: Convert Input(s) to Base Unit

Maximum Angular Speed of Flywheel: 314.6 Revolution per Minute --> 32.9448349589673 Radian per Second (Check conversion here)
Minimum Angular Speed of Flywheel: 257.4 Revolution per Minute --> 26.9548649664278 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω = (n_max+n_min)/2 --> (32.9448349589673+26.9548649664278)/2

Evaluating ... ...

ω = 29.9498499626975

STEP 3: Convert Result to Output's Unit

29.9498499626975 Radian per Second -->286 Revolution per Minute (Check conversion here)

FINAL ANSWER

286 Revolution per Minute <-- Mean Angular Speed of Flywheel

(Calculation completed in 00.020 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

Mean Angular Velocity of Flywheel Formula

Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2
ω = (n_max+n_min)/2

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 Mean Angular Velocity of Flywheel?

Mean Angular Velocity of Flywheel calculator uses Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2 to calculate the Mean Angular Speed of Flywheel, Mean Angular Velocity of Flywheel is defined as the average of the maximum angular velocity and minimum angular velocity of the flywheel. Mean Angular Speed of Flywheel is denoted by ω symbol.

How to calculate Mean Angular Velocity of Flywheel using this online calculator? To use this online calculator for Mean Angular Velocity of Flywheel, enter Maximum Angular Speed of Flywheel (n_max) & Minimum Angular Speed of Flywheel (n_min) and hit the calculate button. Here is how the Mean Angular Velocity of Flywheel calculation can be explained with given input values -> 2731.099 = (32.9448349589673+26.9548649664278)/2.

FAQ

What is Mean Angular Velocity of Flywheel?

Mean Angular Velocity of Flywheel is defined as the average of the maximum angular velocity and minimum angular velocity of the flywheel and is represented as ω = (n_max+n_min)/2 or Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2. Maximum angular speed of flywheel is the maximum rpm of the flywheel & Minimum angular speed of flywheel is the minimum rpm of the flywheel.

How to calculate Mean Angular Velocity of Flywheel?

Mean Angular Velocity of Flywheel is defined as the average of the maximum angular velocity and minimum angular velocity of the flywheel is calculated using Mean Angular Speed of Flywheel = (Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)/2. To calculate Mean Angular Velocity of Flywheel, you need Maximum Angular Speed of Flywheel (n_max) & Minimum Angular Speed of Flywheel (n_min). With our tool, you need to enter the respective value for Maximum Angular Speed of Flywheel & Minimum Angular Speed of Flywheel 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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