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Outer Radius 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%
✖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 Disk [R]

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Outer Radius of Flywheel Disk Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

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)
Mass Density of Flywheel: 7800 Kilogram per Cubic Meter --> 7800 Kilogram per Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R = ((2*I)/(pi*t*ρ))^(1/4) --> ((2*4.34375)/(pi*0.02502499*7800))^(1/4)

Evaluating ... ...

R = 0.345000009793538

STEP 3: Convert Result to Output's Unit

0.345000009793538 Meter -->345.000009793538 Millimeter (Check conversion here)

FINAL ANSWER

345.000009793538 ≈ 345 Millimeter <-- Outer Radius of Flywheel

(Calculation completed in 00.004 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

Outer Radius of Flywheel Disk Formula

LaTeX Go

Outer Radius of Flywheel = ((2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Mass Density of Flywheel))^(1/4)
R = ((2*I)/(pi*t*ρ))^(1/4)

What is a Radius of Flywheel Disk?

The radius of a flywheel disk is the distance from the center of the disk to its outer edge. It plays a crucial role in determining the flywheel's moment of inertia and the amount of energy it can store. A larger radius allows for more mass to be distributed farther from the center, increasing the energy storage capacity. The radius also affects the torque and angular velocity during operation, making it an important factor in the design and performance of flywheels in mechanical systems.

How to Calculate Outer Radius of Flywheel Disk?

Outer Radius of Flywheel Disk calculator uses Outer Radius of Flywheel = ((2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Mass Density of Flywheel))^(1/4) to calculate the Outer Radius of Flywheel, Outer Radius of Flywheel Disk formula is defined as a measure of the distance from the center of the flywheel to its outer edge, which is a critical parameter in the design of flywheel systems, influencing the overall performance and efficiency of the mechanical system. Outer Radius of Flywheel is denoted by R symbol.

How to calculate Outer Radius of Flywheel Disk using this online calculator? To use this online calculator for Outer Radius of Flywheel Disk, enter Moment of Inertia of Flywheel (I), Thickness of Flywheel (t) & Mass Density of Flywheel (ρ) and hit the calculate button. Here is how the Outer Radius of Flywheel Disk calculation can be explained with given input values -> 345000 = ((2*4.34375)/(pi*0.02502499*7800))^(1/4).

FAQ

What is Outer Radius of Flywheel Disk?

Outer Radius of Flywheel Disk formula is defined as a measure of the distance from the center of the flywheel to its outer edge, which is a critical parameter in the design of flywheel systems, influencing the overall performance and efficiency of the mechanical system and is represented as R = ((2*I)/(pi*t*ρ))^(1/4) or Outer Radius of Flywheel = ((2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Mass Density of Flywheel))^(1/4). 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 & Mass Density of Flywheel is the measure of mass per unit volume of a flywheel, which affects its rotational inertia and overall performance.

How to calculate Outer Radius of Flywheel Disk?

Outer Radius of Flywheel Disk formula is defined as a measure of the distance from the center of the flywheel to its outer edge, which is a critical parameter in the design of flywheel systems, influencing the overall performance and efficiency of the mechanical system is calculated using Outer Radius of Flywheel = ((2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Mass Density of Flywheel))^(1/4). To calculate Outer Radius of Flywheel Disk, you need Moment of Inertia of Flywheel (I), Thickness of Flywheel (t) & Mass Density of Flywheel (ρ). With our tool, you need to enter the respective value for Moment of Inertia of Flywheel, Thickness of Flywheel & Mass Density 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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