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Thickness of Flywheel Disk Formula

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

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

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

Thickness of Flywheel Disk Example

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

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

Here is how the Thickness of Flywheel Disk equation looks like.

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

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

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

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Thickness of Flywheel Disk Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Convert Units

∴

t = \frac{2 \cdot 4.3438kg·m²}{3.1416 \cdot 7800kg/m³ \cdot {0.345m}^{4}}

Next Step Prepare to Evaluate

∴

t = \frac{2 \cdot 4.3438}{3.1416 \cdot 7800 \cdot {0.345}^{4}}

Next Step Evaluate

∴

t = 0.0250249928415445m

Next Step Convert to Output's Unit

∴

t = 25.0249928415445mm

LAST Step Rounding Answer

∴

t = 25.025mm

Thickness of Flywheel Disk Formula Elements

Variables

Constants

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

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

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 in Design of Flywheel category

Go Moment of Inertia of Flywheel

I = \frac{T 1 - T 2}{α}

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}

How to Evaluate Thickness of Flywheel Disk?

Thickness of Flywheel Disk evaluator uses Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4) to evaluate the Thickness of Flywheel, Thickness of Flywheel Disk formula is defined as a measure of the dimension of a flywheel disk, which is a critical component in the design of flywheel systems, used to store energy kinetically and release it as needed, playing a vital role in the overall performance and efficiency of the system. Thickness of Flywheel is denoted by t symbol.

How to evaluate Thickness of Flywheel Disk using this online evaluator? To use this online evaluator for Thickness of Flywheel Disk, enter Moment of Inertia of Flywheel (I), Mass Density of Flywheel (ρ) & Outer Radius of Flywheel (R) and hit the calculate button.

FAQs on Thickness of Flywheel Disk

What is the formula to find Thickness of Flywheel Disk?

The formula of Thickness of Flywheel Disk is expressed as Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4). Here is an example- 25000 = (2*4.34375)/(pi*7800*0.345^4).

How to calculate Thickness of Flywheel Disk?

With Moment of Inertia of Flywheel (I), Mass Density of Flywheel (ρ) & Outer Radius of Flywheel (R) we can find Thickness of Flywheel Disk using the formula - Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4). This formula also uses Archimedes' constant .

Can the Thickness of Flywheel Disk be negative?

No, the Thickness of Flywheel Disk, measured in Length cannot be negative.

Which unit is used to measure Thickness of Flywheel Disk?

Thickness of Flywheel Disk is usually measured using the Millimeter[mm] for Length. Meter[mm], Kilometer[mm], Decimeter[mm] are the few other units in which Thickness of Flywheel Disk can be measured.

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Thickness of Flywheel Disk Formula

Thickness of Flywheel Disk Example

Thickness of Flywheel Disk Solution

Thickness of Flywheel Disk Formula Elements

Other formulas in Design of Flywheel category

How to Evaluate Thickness of Flywheel Disk?

FAQs on Thickness of Flywheel Disk

Variable Name