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 mass of the flywheel material per unit volume.
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.
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)
Thickness of Flywheel: 25 Millimeter --> 0.025 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*4.36)/(pi*0.025*0.345^4)
Evaluating ... ...
ρ = 7837.00679417779
STEP 3: Convert Result to Output's Unit
7837.00679417779 Kilogram per Cubic Meter --> No Conversion Required
FINAL ANSWER
7837.00679417779 7837.007 Kilogram per Cubic Meter <-- Mass Density 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

Mass Density of Flywheel Disk Formula

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?

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 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 is defined as the mass of the flywheel per unit volume. 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 -> 7837.007 = (2*4.36)/(pi*0.025*0.345^4).

FAQ

What is Mass Density of Flywheel Disk?
Mass Density of Flywheel Disk is defined as the mass of the flywheel per unit volume 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 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 & Outer Radius of Flywheel is the distance of the flywheel's outer surface from its centre.
How to calculate Mass Density of Flywheel Disk?
Mass Density of Flywheel Disk is defined as the mass of the flywheel per unit volume 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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