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Moment of Inertia of Flywheel Disk Formula

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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. Check FAQs

I = \frac{π}{2} \cdot ρ \cdot R^{4} \cdot t

I - Moment of Inertia of Flywheel?ρ - Mass Density of Flywheel?R - Outer Radius of Flywheel?t - Thickness of Flywheel?π - Archimedes' constant?

Moment of Inertia of Flywheel Disk Example

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Here is how the Moment of Inertia of Flywheel Disk equation looks like with Values.

Here is how the Moment of Inertia of Flywheel Disk equation looks like with Units.

Here is how the Moment of Inertia of Flywheel Disk equation looks like.

4.3E+6 = \frac{3.1416}{2} \cdot 7800 \cdot 345^{4} \cdot 25.025

4.3E+6kg*mm² = \frac{3.1416}{2} \cdot 7800kg/m³ \cdot {345mm}^{4} \cdot 25.025mm

4.3E+6 = \frac{3.1416}{2} \cdot 7800 \cdot 345^{4} \cdot 25.025

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Moment of Inertia of Flywheel Disk Solution

Follow our step by step solution on how to calculate Moment of Inertia of Flywheel Disk?

FIRST Step Consider the formula

I = \frac{π}{2} \cdot ρ \cdot R^{4} \cdot t

Next Step Substitute values of Variables

∴

I = \frac{π}{2} \cdot 7800kg/m³ \cdot {345mm}^{4} \cdot 25.025mm

Next Step Substitute values of Constants

∴

I = \frac{3.1416}{2} \cdot 7800kg/m³ \cdot {345mm}^{4} \cdot 25.025mm

Next Step Convert Units

∴

I = \frac{3.1416}{2} \cdot 7800kg/m³ \cdot {0.345m}^{4} \cdot 0.025m

Next Step Prepare to Evaluate

∴

I = \frac{3.1416}{2} \cdot 7800 \cdot {0.345}^{4} \cdot 0.025

Next Step Evaluate

∴

I = 4.34374950677473kg·m²

Next Step Convert to Output's Unit

∴

I = 4343749.50677473kg*mm²

LAST Step Rounding Answer

∴

I = 4.3E+6kg*mm²

Moment of Inertia of Flywheel Disk Formula Elements

Variables

Constants

Moment of Inertia of Flywheel

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.

Symbol: I

Measurement: Moment of InertiaUnit: kg*mm²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Flywheel

Mass Density 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.

Symbol: ρ

Measurement: DensityUnit: kg/m³

Note: Value should be greater than 0.

Formulas to find Mass Density of Flywheel

Outer Radius of Flywheel

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.

Symbol: R

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Outer Radius of Flywheel

Thickness of Flywheel

Thickness of Flywheel is the dimension of a rotating wheel in a flywheel energy storage system, affecting its moment of inertia and overall performance.

Symbol: t

Measurement: LengthUnit: mm

Note: Value should be greater than 0.

Formulas to find Thickness of Flywheel

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Moment of Inertia of Flywheel

Go Moment of Inertia of Flywheel

I = \frac{T 1 - T 2}{α}

Other formulas in Design of Flywheel category

Go Mean Angular Velocity of Flywheel

ω = \frac{n max + n min}{2}

Go Energy Output from Flywheel

U o = I \cdot ω^{2} \cdot C s

Go Coefficient of Fluctuation of Flywheel Speed given Mean Speed

C s = \frac{n max - n min}{ω}

Go Coefficient of Fluctuation of Flywheel Speed given Min and Max Speed

C s = 2 \cdot \frac{n max - n min}{n max + n min}

How to Evaluate Moment of Inertia of Flywheel Disk?

Moment of Inertia of Flywheel Disk evaluator uses Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel to evaluate 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 evaluate Moment of Inertia of Flywheel Disk using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia of Flywheel Disk

What is the formula to find Moment of Inertia of Flywheel Disk?

The formula of Moment of Inertia of Flywheel Disk is expressed as Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel. Here is an example- 4.3E+12 = pi/2*7800*0.345^4*0.02502499.

How to calculate Moment of Inertia of Flywheel Disk?

With Mass Density of Flywheel (ρ), Outer Radius of Flywheel (R) & Thickness of Flywheel (t) we can find Moment of Inertia of Flywheel Disk using the formula - Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel. This formula also uses Archimedes' constant .

What are the other ways to Calculate Moment of Inertia of Flywheel?

Here are the different ways to Calculate Moment of Inertia of Flywheel-

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

Can the Moment of Inertia of Flywheel Disk be negative?

No, the Moment of Inertia of Flywheel Disk, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia of Flywheel Disk?

Moment of Inertia of Flywheel Disk is usually measured using the Kilogram Square Millimeter[kg*mm²] for Moment of Inertia. Kilogram Square Meter[kg*mm²], Kilogram Square Centimeter[kg*mm²], Gram Square Centimeter[kg*mm²] are the few other units in which Moment of Inertia of Flywheel Disk can be measured.

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Moment of Inertia of Flywheel Disk Formula

​GoMoment of Inertia of Flywheel Formula

Moment of Inertia of Flywheel Disk Example

Moment of Inertia of Flywheel Disk Solution

Moment of Inertia of Flywheel Disk Formula Elements

Other Formulas to find Moment of Inertia of Flywheel

Other formulas in Design of Flywheel category

How to Evaluate Moment of Inertia of Flywheel Disk?

FAQs on Moment of Inertia of Flywheel Disk

Variable Name

GoMoment of Inertia of Flywheel Formula