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Mass Density of Flywheel Disk Calculator

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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.ⓘ Moment of Inertia of Flywheel [I]			+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%
✖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%

✖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 Disk [ρ]

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Mass Density of Flywheel Disk Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Moment of Inertia of Flywheel: 4343750 Kilogram Square Millimeter --> 4.34375 Kilogram Square Meter (Check conversion here)
Thickness of Flywheel: 25.02499 Millimeter --> 0.02502499 Meter (Check conversion here)
Outer Radius of Flywheel: 345 Millimeter --> 0.345 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ρ = (2*I)/(pi*t*R^4) --> (2*4.34375)/(pi*0.02502499*0.345^4)

Evaluating ... ...

ρ = 7800.00088567655

STEP 3: Convert Result to Output's Unit

7800.00088567655 Kilogram per Cubic Meter --> No Conversion Required

FINAL ANSWER

7800.00088567655 ≈ 7800.001 Kilogram per Cubic Meter <-- Mass Density of Flywheel

(Calculation completed in 00.029 seconds)

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Created by Vaibhav Malani

National Institute of Technology (NIT), Tiruchirapalli

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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

Mass Density of Flywheel Disk Formula

LaTeX Go

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

What is a Flywheel Disk?

A flywheel disk is a rotating mechanical component designed to store and release energy in a system. It is typically a heavy, circular disk attached to a shaft that absorbs excess energy when the system is running at high speed and releases it during slower periods to maintain steady operation. Flywheel disks help regulate speed fluctuations, improve efficiency, and provide smoother performance in engines and other mechanical systems.

How to Calculate Mass Density of Flywheel Disk?

Mass Density of Flywheel Disk calculator uses Mass Density of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Outer Radius of Flywheel^4) to calculate the Mass Density of Flywheel, Mass Density of Flywheel Disk formula is defined as a measure of the amount of mass per unit volume of a flywheel disk, which is a critical component in the design of flywheel systems, influencing its rotational kinetic energy storage capacity and overall performance. Mass Density of Flywheel is denoted by ρ symbol.

How to calculate Mass Density of Flywheel Disk using this online calculator? To use this online calculator for Mass Density of Flywheel Disk, enter Moment of Inertia of Flywheel (I), Thickness of Flywheel (t) & Outer Radius of Flywheel (R) and hit the calculate button. Here is how the Mass Density of Flywheel Disk calculation can be explained with given input values -> 7792.21 = (2*4.34375)/(pi*0.02502499*0.345^4).

FAQ

What is Mass Density of Flywheel Disk?

Mass Density of Flywheel Disk formula is defined as a measure of the amount of mass per unit volume of a flywheel disk, which is a critical component in the design of flywheel systems, influencing its rotational kinetic energy storage capacity and overall performance and is represented as ρ = (2*I)/(pi*t*R^4) or Mass Density of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Outer Radius of Flywheel^4). 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, Thickness of Flywheel is the dimension of a rotating wheel in a flywheel energy storage system, affecting its moment of 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.

How to calculate Mass Density of Flywheel Disk?

Mass Density of Flywheel Disk formula is defined as a measure of the amount of mass per unit volume of a flywheel disk, which is a critical component in the design of flywheel systems, influencing its rotational kinetic energy storage capacity and overall performance is calculated using Mass Density of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Outer Radius of Flywheel^4). To calculate Mass Density of Flywheel Disk, you need Moment of Inertia of Flywheel (I), Thickness of Flywheel (t) & Outer Radius of Flywheel (R). With our tool, you need to enter the respective value for Moment of Inertia of Flywheel, Thickness 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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