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Tangential 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%

✖Tangential Stress in Flywheel is the stress developed on the rim of a flywheel due to the centrifugal force of the rotating wheel.ⓘ Tangential Stress in Rotating Flywheel at given Radius [σ_t]

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Tangential Stress in Rotating Flywheel at given Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
σ_t = ρ*V_p^2*(u+3)/8*(1-((3*u+1)/(u+3))*(r/R)^2)
This formula uses 6 Variables

Variables Used

Tangential Stress in Flywheel - (Measured in Pascal) - Tangential Stress in Flywheel is the stress developed on 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_t = ρ*V_p^2*(u+3)/8*(1-((3*u+1)/(u+3))*(r/R)^2) --> 7800*10.35^2*(0.3+3)/8*(1-((3*0.3+1)/(0.3+3))*(0.2/0.345)^2)

Evaluating ... ...

σ_t = 277976.64375

STEP 3: Convert Result to Output's Unit

277976.64375 Pascal -->0.27797664375 Newton per Square Millimeter (Check conversion here)

FINAL ANSWER

0.27797664375 ≈ 0.277977 Newton per Square Millimeter <-- Tangential Stress in Flywheel

(Calculation completed in 00.020 seconds)

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Created by Akshay Talbar

Vishwakarma University (VU), Pune

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National Institute Of Technology (NIT), Hamirpur

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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

Tangential Stress in Rotating Flywheel at given Radius Formula

LaTeX Go

What is Tangential Stress in a Rotating Flywheel?

Tangential stress in a rotating flywheel is the stress that acts tangentially along the circumference of the flywheel's material. It arises due to the centrifugal forces generated during rotation, causing the material to experience stress as it attempts to resist this outward pull. Tangential stress is significant in determining the flywheel's structural integrity, as it contributes to the overall strength and stability of the flywheel at high speeds. If the tangential stress exceeds the material's strength, it can lead to failure, making it essential to consider when designing flywheels for various applications.

How to Calculate Tangential Stress in Rotating Flywheel at given Radius?

Tangential Stress in Rotating Flywheel at given Radius calculator uses 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) to calculate the Tangential Stress in Flywheel, Tangential Stress in Rotating Flywheel at given Radius formula is defined as a measure of the stress generated at a particular radius in a rotating flywheel due to the centrifugal force, which is critical in determining the flywheel's structural integrity and performance. Tangential Stress in Flywheel is denoted by σ_t symbol.

How to calculate Tangential Stress in Rotating Flywheel at given Radius using this online calculator? To use this online calculator for Tangential 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 Tangential Stress in Rotating Flywheel at given Radius calculation can be explained with given input values -> 2.8E-7 = 7800*10.35^2*(0.3+3)/8*(1-((3*0.3+1)/(0.3+3))*(0.2/0.345)^2).

FAQ

What is Tangential Stress in Rotating Flywheel at given Radius?

Tangential Stress in Rotating Flywheel at given Radius formula is defined as a measure of the stress generated at a particular radius in a rotating flywheel due to the centrifugal force, which is critical in determining the flywheel's structural integrity and performance and is represented as σ_t = ρ*V_p^2*(u+3)/8*(1-((3*u+1)/(u+3))*(r/R)^2) or 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). 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 Tangential Stress in Rotating Flywheel at given Radius?

Tangential Stress in Rotating Flywheel at given Radius formula is defined as a measure of the stress generated at a particular radius in a rotating flywheel due to the centrifugal force, which is critical in determining the flywheel's structural integrity and performance is calculated using 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). To calculate Tangential 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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