Moment of Inertia of Flywheel Disk Calculator

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Design of Flywheel

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✖Mass Density of Flywheel is the mass of the flywheel material per unit volume.ⓘ Mass Density of Flywheel [ρ]			+10% -10%
✖Outer Radius of Flywheel is the distance of the flywheel's outer surface from its centre.ⓘ Outer Radius of Flywheel [R]			+10% -10%
✖Thickness of Flywheel is the length of the flywheel's body measured along its central axis.ⓘ Thickness of Flywheel [t]			+10% -10%

✖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 Disk [I]

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Formula

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Moment of Inertia of Flywheel Disk

Formula

`"I" = pi/2*"ρ"*"R"^4*"t"`

Example

`"4.3E^6kg*mm²"=pi/2*"7800kg/m³"*("345mm")^4*"25mm"`

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Download Design of Flywheel Formulas PDF

Moment of Inertia of Flywheel Disk Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel
I = pi/2*ρ*R^4*t
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
Mass Density of Flywheel - (Measured in Kilogram per Cubic Meter) - Mass Density of Flywheel is the mass of the flywheel material per unit volume.
Outer Radius of Flywheel - (Measured in Meter) - Outer Radius of Flywheel is the distance of the flywheel's outer surface from its centre.
Thickness of Flywheel - (Measured in Meter) - Thickness of Flywheel is the length of the flywheel's body measured along its central axis.

STEP 1: Convert Input(s) to Base Unit

Mass Density of Flywheel: 7800 Kilogram per Cubic Meter --> 7800 Kilogram per Cubic Meter No Conversion Required
Outer Radius of Flywheel: 345 Millimeter --> 0.345 Meter (Check conversion here)
Thickness of Flywheel: 25 Millimeter --> 0.025 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = pi/2*ρ*R^4*t --> pi/2*7800*0.345^4*0.025

Evaluating ... ...

I = 4.33941183070876

STEP 3: Convert Result to Output's Unit

4.33941183070876 Kilogram Square Meter -->4339411.83070876 Kilogram Square Millimeter (Check conversion here)

FINAL ANSWER

4339411.83070876 ≈ 4.3E+6 Kilogram Square Millimeter <-- Moment of Inertia of 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

Moment of Inertia of Flywheel Disk Formula

Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel
I = pi/2*ρ*R^4*t

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 Moment of Inertia of Flywheel Disk?

Moment of Inertia of Flywheel Disk calculator uses Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel to calculate the Moment of Inertia of Flywheel, Moment of Inertia of Flywheel Disk is defined as the quantity expressing the flywheel's tendency to resist angular acceleration. Moment of Inertia of Flywheel is denoted by I symbol.

How to calculate Moment of Inertia of Flywheel Disk using this online calculator? To use this online calculator for Moment of Inertia of Flywheel Disk, enter Mass Density of Flywheel (ρ), Outer Radius of Flywheel (R) & Thickness of Flywheel (t) and hit the calculate button. Here is how the Moment of Inertia of Flywheel Disk calculation can be explained with given input values -> 4.3E+12 = pi/2*7800*0.345^4*0.025.

FAQ

What is Moment of Inertia of Flywheel Disk?

Moment of Inertia of Flywheel Disk is defined as the quantity expressing the flywheel's tendency to resist angular acceleration and is represented as I = pi/2*ρ*R^4*t or Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel. Mass Density of Flywheel is the mass of the flywheel material per unit volume, Outer Radius of Flywheel is the distance of the flywheel's outer surface from its centre & Thickness of Flywheel is the length of the flywheel's body measured along its central axis.

How to calculate Moment of Inertia of Flywheel Disk?

Moment of Inertia of Flywheel Disk is defined as the quantity expressing the flywheel's tendency to resist angular acceleration is calculated using Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel. To calculate Moment of Inertia of Flywheel Disk, you need Mass Density of Flywheel (ρ), Outer Radius of Flywheel (R) & Thickness of Flywheel (t). With our tool, you need to enter the respective value for Mass Density of Flywheel, Outer Radius of Flywheel & Thickness of Flywheel 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 Moment of Inertia of Flywheel?

In this formula, Moment of Inertia of Flywheel uses Mass Density of Flywheel, Outer Radius of Flywheel & Thickness of Flywheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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