Radial Stress in Rotating Flywheel at given Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
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)
σr = ρ*Vperipheral^2*((3+u)/8)*(1-(r/R)^2)
This formula uses 6 Variables
Variables Used
Radial Stress in Flywheel - (Measured in Pascal) - Radial Stress in Flywheel is the stress induced in the flywheel along its radial direction.
Mass Density of Flywheel - (Measured in Kilogram per Cubic Meter) - Mass Density of Flywheel is the mass of the flywheel material per unit volume.
Peripheral Speed of Flywheel - (Measured in Meter per Second) - Peripheral Speed of Flywheel is the speed of the periphery of the flywheel.
Poisson Ratio for Flywheel - Poisson Ratio for Flywheel is defined as the deformation of the material in directions perpendicular to the direction of loading.
Distance from Flywheel Centre - (Measured in Meter) - Distance from Flywheel Centre is the radial line from the centre to any point of the flywheel.
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
Mass Density of Flywheel: 7800 Kilogram per Cubic Meter --> 7800 Kilogram per Cubic Meter No Conversion Required
Peripheral Speed of Flywheel: 10.35 Meter per Second --> 10.35 Meter per Second No Conversion Required
Poisson Ratio for Flywheel: 0.3 --> No Conversion Required
Distance from Flywheel Centre: 200 Millimeter --> 0.2 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
σr = ρ*Vperipheral^2*((3+u)/8)*(1-(r/R)^2) --> 7800*10.35^2*((3+0.3)/8)*(1-(0.2/0.345)^2)
Evaluating ... ...
σr = 228836.64375
STEP 3: Convert Result to Output's Unit
228836.64375 Pascal -->0.22883664375 Newton per Square Millimeter (Check conversion here)
FINAL ANSWER
0.22883664375 0.228837 Newton per Square Millimeter <-- Radial Stress in Flywheel
(Calculation completed in 00.007 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

Radial Stress in Rotating Flywheel at given Radius Formula

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)
σr = ρ*Vperipheral^2*((3+u)/8)*(1-(r/R)^2)

What is 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 Radial Stress in Rotating Flywheel at given Radius?

Radial Stress in Rotating Flywheel at given Radius calculator uses 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) to calculate the Radial Stress in Flywheel, Radial Stress in Rotating Flywheel at given Radius is the value of stress in the flywheel along the radial direction. Radial Stress in Flywheel is denoted by σr symbol.

How to calculate Radial Stress in Rotating Flywheel at given Radius using this online calculator? To use this online calculator for Radial Stress in Rotating Flywheel at given Radius, enter Mass Density of Flywheel (ρ), Peripheral Speed of Flywheel (Vperipheral), Poisson Ratio for Flywheel (u), Distance from Flywheel Centre (r) & Outer Radius of Flywheel (R) and hit the calculate button. Here is how the Radial Stress in Rotating Flywheel at given Radius calculation can be explained with given input values -> 2.3E-7 = 7800*10.35^2*((3+0.3)/8)*(1-(0.2/0.345)^2).

FAQ

What is Radial Stress in Rotating Flywheel at given Radius?
Radial Stress in Rotating Flywheel at given Radius is the value of stress in the flywheel along the radial direction and is represented as σr = ρ*Vperipheral^2*((3+u)/8)*(1-(r/R)^2) or 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). Mass Density of Flywheel is the mass of the flywheel material per unit volume, Peripheral Speed of Flywheel is the speed of the periphery of the flywheel, Poisson Ratio for Flywheel is defined as the deformation of the material in directions perpendicular to the direction of loading, Distance from Flywheel Centre is the radial line from the centre to any point of the flywheel & Outer Radius of Flywheel is the distance of the flywheel's outer surface from its centre.
How to calculate Radial Stress in Rotating Flywheel at given Radius?
Radial Stress in Rotating Flywheel at given Radius is the value of stress in the flywheel along the radial direction is calculated using 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). To calculate Radial Stress in Rotating Flywheel at given Radius, you need Mass Density of Flywheel (ρ), Peripheral Speed of Flywheel (Vperipheral), Poisson Ratio for Flywheel (u), Distance from Flywheel Centre (r) & Outer Radius of Flywheel (R). With our tool, you need to enter the respective value for Mass Density of Flywheel, Peripheral Speed of Flywheel, Poisson Ratio for Flywheel, Distance from Flywheel Centre & 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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