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Moment of Inertia of Flywheel Disk Calculator

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✖Mass Density of Flywheel is the measure of mass per unit volume of a flywheel, which affects its rotational inertia and overall performance.ⓘ Mass Density of Flywheel [ρ]			+10% -10%
✖Outer Radius of Flywheel is the distance from the axis of rotation to the outer edge of the flywheel, affecting its moment of inertia and energy storage.ⓘ Outer Radius of Flywheel [R]			+10% -10%
✖Thickness of Flywheel is the dimension of a rotating wheel in a flywheel energy storage system, affecting its moment of inertia and overall performance.ⓘ Thickness of Flywheel [t]			+10% -10%

✖Moment of Inertia of Flywheel is a measure of an object's resistance to changes in its rotation rate, dependent on the flywheel's mass distribution and shape.ⓘ Moment of Inertia of Flywheel Disk [I]

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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 a measure of an object's resistance to changes in its rotation rate, dependent on the flywheel's mass distribution and shape.
Mass Density of Flywheel - (Measured in Kilogram per Cubic Meter) - Mass Density of Flywheel is the measure of mass per unit volume of a flywheel, which affects its rotational inertia and overall performance.
Outer Radius of Flywheel - (Measured in Meter) - Outer Radius of Flywheel is the distance from the axis of rotation to the outer edge of the flywheel, affecting its moment of inertia and energy storage.
Thickness of Flywheel - (Measured in Meter) - Thickness of Flywheel is the dimension of a rotating wheel in a flywheel energy storage system, affecting its moment of inertia and overall performance.

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: 25.02499 Millimeter --> 0.02502499 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*0.02502499

Evaluating ... ...

I = 4.34374950677473

STEP 3: Convert Result to Output's Unit

4.34374950677473 Kilogram Square Meter -->4343749.50677473 Kilogram Square Millimeter (Check conversion here)

FINAL ANSWER

4343749.50677473 ≈ 4.3E+6 Kilogram Square Millimeter <-- Moment of Inertia of Flywheel

(Calculation completed in 00.004 seconds)

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< Design of Flywheel Calculators

Coefficient of Fluctuation of Flywheel Speed given Mean Speed

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

Energy Output from Flywheel

LaTeX Go 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

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

Mean Angular Velocity of Flywheel

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

Moment of Inertia of Flywheel Disk Formula

LaTeX Go

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 Mean Torque of Flywheel?

Mean torque of a flywheel refers to the average torque exerted by the flywheel over a complete cycle of operation. It is calculated based on the energy absorbed and released by the flywheel, considering its rotational speed and the variation in load. Mean torque helps assess the flywheel's performance and its ability to smooth out fluctuations in mechanical systems, contributing to stability and efficiency. This value is essential for designing flywheels to ensure they can effectively manage energy in various applications.

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 formula is defined as a measure of an object's resistance to changes in its rotation, which is crucial in the design of flywheels, as it affects the flywheel's ability to store and release energy efficiently. 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*0.02502499.

FAQ

What is Moment of Inertia of Flywheel Disk?

Moment of Inertia of Flywheel Disk formula is defined as a measure of an object's resistance to changes in its rotation, which is crucial in the design of flywheels, as it affects the flywheel's ability to store and release energy efficiently 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 measure of mass per unit volume of a flywheel, which affects its rotational inertia and overall performance, Outer Radius of Flywheel is the distance from the axis of rotation to the outer edge of the flywheel, affecting its moment of inertia and energy storage & Thickness of Flywheel is the dimension of a rotating wheel in a flywheel energy storage system, affecting its moment of inertia and overall performance.

How to calculate Moment of Inertia of Flywheel Disk?

Moment of Inertia of Flywheel Disk formula is defined as a measure of an object's resistance to changes in its rotation, which is crucial in the design of flywheels, as it affects the flywheel's ability to store and release energy efficiently 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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