Moment of Inertia of Flywheel Solution

STEP 0: Pre-Calculation Summary
Formula Used
Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel
I = (T1-T2)/α
This formula uses 4 Variables
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.
Driving Input Torque of Flywheel - (Measured in Newton Meter) - Driving Input Torque of Flywheel is the measure of the torque that causes the input shaft and the flywheel to rotate.
Load Output Torque of Flywheel - (Measured in Newton Meter) - Load Output Torque of Flywheel is the measure of the torque that causes the output shaft and the flywheel to rotate.
Angular Acceleration of Flywheel - (Measured in Radian per Square Second) - Angular Acceleration of Flywheel refers to the time rate of change of angular velocity of the rotating flywheel.
STEP 1: Convert Input(s) to Base Unit
Driving Input Torque of Flywheel: 20850 Newton Millimeter --> 20.85 Newton Meter (Check conversion here)
Load Output Torque of Flywheel: 13900 Newton Millimeter --> 13.9 Newton Meter (Check conversion here)
Angular Acceleration of Flywheel: 1.6 Radian per Square Second --> 1.6 Radian per Square Second No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
I = (T1-T2)/α --> (20.85-13.9)/1.6
Evaluating ... ...
I = 4.34375
STEP 3: Convert Result to Output's Unit
4.34375 Kilogram Square Meter -->4343750 Kilogram Square Millimeter (Check conversion here)
FINAL ANSWER
4343750 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 Formula

Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel
I = (T1-T2)/α

What is 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.

How to Calculate Moment of Inertia of Flywheel?

Moment of Inertia of Flywheel calculator uses Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel to calculate the Moment of Inertia of Flywheel, Moment of Inertia of Flywheel 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 using this online calculator? To use this online calculator for Moment of Inertia of Flywheel, enter Driving Input Torque of Flywheel (T1), Load Output Torque of Flywheel (T2) & Angular Acceleration of Flywheel (α) and hit the calculate button. Here is how the Moment of Inertia of Flywheel calculation can be explained with given input values -> 4.3E+12 = (20.85-13.9)/1.6.

FAQ

What is Moment of Inertia of Flywheel?
Moment of Inertia of Flywheel is defined as the quantity expressing the flywheel's tendency to resist angular acceleration and is represented as I = (T1-T2)/α or Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel. Driving Input Torque of Flywheel is the measure of the torque that causes the input shaft and the flywheel to rotate, Load Output Torque of Flywheel is the measure of the torque that causes the output shaft and the flywheel to rotate & Angular Acceleration of Flywheel refers to the time rate of change of angular velocity of the rotating flywheel.
How to calculate Moment of Inertia of Flywheel?
Moment of Inertia of Flywheel is defined as the quantity expressing the flywheel's tendency to resist angular acceleration is calculated using Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel. To calculate Moment of Inertia of Flywheel, you need Driving Input Torque of Flywheel (T1), Load Output Torque of Flywheel (T2) & Angular Acceleration of Flywheel (α). With our tool, you need to enter the respective value for Driving Input Torque of Flywheel, Load Output Torque of Flywheel & Angular Acceleration 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 Driving Input Torque of Flywheel, Load Output Torque of Flywheel & Angular Acceleration of Flywheel. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel
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