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Radial Stress in Rotating Flywheel at given Radius Calculator

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✖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%
✖Peripheral Speed of Flywheel is the linear velocity of the flywheel's rim, which is a critical parameter in designing and optimizing flywheel performance.ⓘ Peripheral Speed of Flywheel [V_p]			+10% -10%
✖Poisson Ratio for Flywheel is the ratio of lateral contraction to longitudinal extension of a material in the flywheel's rim and hub under different loads.ⓘ Poisson Ratio for Flywheel [u]			+10% -10%
✖Distance from Flywheel Centre is the length of the line segment from the centre of the flywheel to a point on its circumference.ⓘ Distance from Flywheel Centre [r]			+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%

✖Radial Stress in Flywheel is the stress that occurs in the rim of a flywheel due to the centrifugal force of the rotating wheel.ⓘ Radial Stress in Rotating Flywheel at given Radius [σ_r]

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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)
σ_r = ρ*V_p^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 that occurs in the rim of a flywheel due to the centrifugal force of the rotating wheel.
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.
Peripheral Speed of Flywheel - (Measured in Meter per Second) - Peripheral Speed of Flywheel is the linear velocity of the flywheel's rim, which is a critical parameter in designing and optimizing flywheel performance.
Poisson Ratio for Flywheel - Poisson Ratio for Flywheel is the ratio of lateral contraction to longitudinal extension of a material in the flywheel's rim and hub under different loads.
Distance from Flywheel Centre - (Measured in Meter) - Distance from Flywheel Centre is the length of the line segment from the centre of the flywheel to a point on its circumference.
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

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

σ_r = ρ*V_p^2*((3+u)/8)*(1-(r/R)^2) --> 7800*10.35^2*((3+0.3)/8)*(1-(0.2/0.345)^2)

Evaluating ... ...

σ_r = 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 00.004 seconds)

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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

Radial Stress in Rotating Flywheel at given Radius Formula

LaTeX Go

What are the Stresses act in Flywheel ?

Several types of stresses act on a flywheel during its operation. Tensile stress occurs due to centrifugal forces when the flywheel rotates, pulling the material outward. Compressive stress arises at the center of the flywheel, resulting from load distribution and the material's ability to withstand compressive forces. Bending stress can develop from any misalignment or unbalanced loads, causing the flywheel to bend under pressure. Additionally, shear stress may occur at various points in the material due to torsional forces or uneven loading. Understanding these stresses is crucial for ensuring the flywheel's structural integrity and optimal performance.

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 formula is defined as a measure of the stress experienced by a rotating flywheel at a specific radius, which is critical in determining the flywheel's structural integrity and performance in various mechanical systems. Radial Stress in Flywheel is denoted by σ_r 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 (V_p), 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 formula is defined as a measure of the stress experienced by a rotating flywheel at a specific radius, which is critical in determining the flywheel's structural integrity and performance in various mechanical systems and is represented as σ_r = ρ*V_p^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 measure of mass per unit volume of a flywheel, which affects its rotational inertia and overall performance, Peripheral Speed of Flywheel is the linear velocity of the flywheel's rim, which is a critical parameter in designing and optimizing flywheel performance, Poisson Ratio for Flywheel is the ratio of lateral contraction to longitudinal extension of a material in the flywheel's rim and hub under different loads, Distance from Flywheel Centre is the length of the line segment from the centre of the flywheel to a point on its circumference & 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 Radial Stress in Rotating Flywheel at given Radius?

Radial Stress in Rotating Flywheel at given Radius formula is defined as a measure of the stress experienced by a rotating flywheel at a specific radius, which is critical in determining the flywheel's structural integrity and performance in various mechanical systems 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 (V_p), 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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