Outer Radius of Flywheel Disk Calculator

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Design of Flywheel

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Design of Chain Drives

Design of Friction Clutches

Design of Shafts

Design of Splines

Design of Springs

✖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%
✖Thickness of Flywheel is the length of the flywheel's body measured along its central axis.ⓘ Thickness of Flywheel [t]			+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 Disk [R]

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Formula

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Outer Radius of Flywheel Disk

Formula

`"R" = ((2*"I")/(pi*"t"*"ρ"))^(1/4)`

Example

`"345.4085mm"=((2*"4.36E6kg*mm²")/(pi*"25mm"*"7800kg/m³"))^(1/4)`

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Download Design of Flywheel Formulas PDF

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 of the flywheel's outer surface from its centre.
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.
Thickness of Flywheel - (Measured in Meter) - Thickness of Flywheel is the length of the flywheel's body measured along its 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.

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)
Thickness of Flywheel: 25 Millimeter --> 0.025 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*4.36)/(pi*0.025*7800))^(1/4)

Evaluating ... ...

R = 0.345408483696885

STEP 3: Convert Result to Output's Unit

0.345408483696885 Meter -->345.408483696885 Millimeter (Check conversion here)

FINAL ANSWER

345.408483696885 ≈ 345.4085 Millimeter <-- Outer Radius of Flywheel

(Calculation completed in 00.020 seconds)

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< 21 Design of Flywheel Calculators

Tangential Stress in Rotating Flywheel at given Radius

Go Tangential Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*(Poisson Ratio for Flywheel+3)/8*(1-((3*Poisson Ratio for Flywheel+1)/(Poisson Ratio for Flywheel+3))*(Distance from Flywheel Centre/Outer Radius of Flywheel)^2)

Tensile Stress in Spokes of Rimmed Flywheel

Go Tensile Stress in Spokes of Flywheel = Tensile Force in Flywheel Rim/(Width of Rim of Flywheel*Thickness of Rim of Flywheel)+(6*Bending moment in flywheel spokes)/(Width of Rim of Flywheel*Thickness of Rim of Flywheel^2)

Radial Stress in Rotating Flywheel at given Radius

Go Radial Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)*(1-(Distance from Flywheel Centre/Outer Radius of Flywheel)^2)

Coefficient of Fluctuation of Flywheel Speed given Min and Max Speed

Go Coefficient of Fluctuation of Flywheel Speed = 2*(Maximum Angular Speed of Flywheel-Minimum Angular Speed of Flywheel)/(Maximum Angular Speed of Flywheel+Minimum Angular Speed of Flywheel)

Outer Radius of Flywheel Disk

Go Outer Radius of Flywheel = ((2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Mass Density of Flywheel))^(1/4)

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

Mass Density of Flywheel Disk

Go Mass Density of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Thickness of Flywheel*Outer Radius of Flywheel^4)

Thickness of Flywheel Disk

Go Thickness of Flywheel = (2*Moment of Inertia of Flywheel)/(pi*Mass Density of Flywheel*Outer Radius of Flywheel^4)

Moment of Inertia of Flywheel Disk

Go Moment of Inertia of Flywheel = pi/2*Mass Density of Flywheel*Outer Radius of Flywheel^4*Thickness of Flywheel

Coefficient of Steadiness of Flywheel given Mean Speed

Go Coefficient of Steadiness for Flywheel = Mean Angular Speed of Flywheel/(Maximum Angular Speed of Flywheel-Minimum 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

Maximum Radial or Tensile Stress in Flywheel

Go Maximum Radial Tensile Stress in Flywheel = Mass Density of Flywheel*Peripheral Speed of Flywheel^2*((3+Poisson Ratio for Flywheel)/8)

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

Coefficient of Fluctuation of Flywheel Energy given Maximum Fluctuation of Flywheel Energy

Go Coefficient of Fluctuation of Flywheel Energy = Maximum Fluctuation of Energy for Flywheel/Work Done per Cycle for Engine

Maximum Fluctuation of Flywheel Energy given Coefficient of Fluctuation of Enaergy

Go Maximum Fluctuation of Energy for Flywheel = Coefficient of Fluctuation of Flywheel Energy*Work Done per Cycle for Engine

Work Done per Cycle for Engine connected to Flywheel

Go Work Done per Cycle for Engine = Maximum Fluctuation of Energy for Flywheel/Coefficient of Fluctuation of Flywheel Energy

Mean Angular Velocity of Flywheel

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

Mean Torque of Flywheel for Four Stroke Engine

Go Mean Torque for Flywheel = Work Done per Cycle for Engine/(4*pi)

Mean Torque of Flywheel for Two Stroke Engine

Go Mean Torque for Flywheel = Work Done per Cycle for Engine/(2*pi)

Work Done per Cycle for Four Stroke Engine connected to Flywheel

Go Work Done per Cycle for Engine = 4*pi*Mean Torque for Flywheel

Work Done per Cycle for Two Stroke Engine connected to Flywheel

Go Work Done per Cycle for Engine = 2*pi*Mean Torque for Flywheel

Outer Radius of Flywheel Disk Formula

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 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 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 is defined as the value of the radius of a flywheel disk measured at its outer periphery. 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 -> 345408.5 = ((2*4.36)/(pi*0.025*7800))^(1/4).

FAQ

What is Outer Radius of Flywheel Disk?

Outer Radius of Flywheel Disk is defined as the value of the radius of a flywheel disk measured at its outer periphery 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 the measure of the resistance of the flywheel's body to angular acceleration about central axis, Thickness of Flywheel is the length of the flywheel's body measured along its central axis & Mass Density of Flywheel is the mass of the flywheel material per unit volume.

How to calculate Outer Radius of Flywheel Disk?

Outer Radius of Flywheel Disk is defined as the value of the radius of a flywheel disk measured at its outer periphery 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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