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Thickness of Flywheel Disk Calculator

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✖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 [I]			+10% -10%
✖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 Disk [t]

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Formula

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Thickness of Flywheel Disk

Formula

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

Example

25.11861 mm = \frac{2 \cdot 4.36E6 kg*mm²}{π \cdot 7800 kg/m³ \cdot {345 mm}^{4}}

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Thickness of Flywheel Disk Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Thickness of Flywheel - (Measured in Meter) - Thickness of Flywheel is the length of the flywheel's body measured along its central axis.
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.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia of Flywheel: 4360000 Kilogram Square Millimeter --> 4.36 Kilogram Square Meter (Check conversion here)
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)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

t = (2*I)/(pi*ρ*R^4) --> (2*4.36)/(pi*7800*0.345^4)

Evaluating ... ...

t = 0.0251186115198006

STEP 3: Convert Result to Output's Unit

0.0251186115198006 Meter -->25.1186115198006 Millimeter (Check conversion here)

FINAL ANSWER

25.1186115198006 ≈ 25.11861 Millimeter <-- Thickness of Flywheel

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli

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< Design of Flywheel Calculators

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

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

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

Mean Angular Velocity of Flywheel

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

Thickness of Flywheel Disk Formula

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

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 Thickness of Flywheel Disk?

Thickness of Flywheel Disk calculator uses Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4) to calculate the Thickness of Flywheel, Thickness of Flywheel Disk is defined as the thickness or the dimension of the flywheel measured along its central axis. Thickness of Flywheel is denoted by t symbol.

How to calculate Thickness of Flywheel Disk using this online calculator? To use this online calculator 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. Here is how the Thickness of Flywheel Disk calculation can be explained with given input values -> 25118.61 = (2*4.36)/(pi*7800*0.345^4).

FAQ

What is Thickness of Flywheel Disk?

Thickness of Flywheel Disk is defined as the thickness or the dimension of the flywheel measured along its central axis and is represented as t = (2*I)/(pi*ρ*R^4) or Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4). 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 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.

How to calculate Thickness of Flywheel Disk?

Thickness of Flywheel Disk is defined as the thickness or the dimension of the flywheel measured along its central axis is calculated using Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4). To calculate Thickness of Flywheel Disk, you need Moment of Inertia of Flywheel (I), Mass Density of Flywheel (ρ) & Outer Radius of Flywheel (R). With our tool, you need to enter the respective value for Moment of Inertia of Flywheel, Mass Density of Flywheel & Outer Radius of Flywheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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