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Moment of Inertia of Flywheel Calculator

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✖Driving Input Torque of Flywheel is the rotational force that causes the flywheel to rotate, typically measured in units of newton-meters or foot-pounds.ⓘ Driving Input Torque of Flywheel [T₁]			+10% -10%
✖Load Output Torque of Flywheel is the rotational force that the flywheel exerts on the shaft, resisting changes in its rotational speed or position.ⓘ Load Output Torque of Flywheel [T₂]			+10% -10%
✖Angular Acceleration of Flywheel is the rate of change of angular velocity of a flywheel, which is a rotating mechanical device that stores energy kinetically.ⓘ Angular Acceleration of Flywheel [α]			+10% -10%

✖Moment of Inertia of Flywheel is a measure of an object's resistance to changes in its rotation rate, dependent on the flywheel's mass distribution and shape.ⓘ Moment of Inertia of Flywheel [I]

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Moment of Inertia of Flywheel Solution

STEP 0: Pre-Calculation Summary

Formula Used

Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel
I = (T₁-T₂)/α
This formula uses 4 Variables

Variables Used

Moment of Inertia of Flywheel - (Measured in Kilogram Square Meter) - Moment of Inertia of Flywheel is a measure of an object's resistance to changes in its rotation rate, dependent on the flywheel's mass distribution and shape.
Driving Input Torque of Flywheel - (Measured in Newton Meter) - Driving Input Torque of Flywheel is the rotational force that causes the flywheel to rotate, typically measured in units of newton-meters or foot-pounds.
Load Output Torque of Flywheel - (Measured in Newton Meter) - Load Output Torque of Flywheel is the rotational force that the flywheel exerts on the shaft, resisting changes in its rotational speed or position.
Angular Acceleration of Flywheel - (Measured in Radian per Square Second) - Angular Acceleration of Flywheel is the rate of change of angular velocity of a flywheel, which is a rotating mechanical device that stores energy kinetically.

STEP 1: Convert Input(s) to Base Unit

Driving Input Torque of Flywheel: 20850 Newton Millimeter --> 20.85 Newton Meter (Check conversion here)
Load Output Torque of Flywheel: 13900 Newton Millimeter --> 13.9 Newton Meter (Check conversion here)
Angular Acceleration of Flywheel: 1.6 Radian per Square Second --> 1.6 Radian per Square Second No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I = (T₁-T₂)/α --> (20.85-13.9)/1.6

Evaluating ... ...

I = 4.34375

STEP 3: Convert Result to Output's Unit

4.34375 Kilogram Square Meter -->4343750 Kilogram Square Millimeter (Check conversion here)

FINAL ANSWER

4343750 ≈ 4.3E+6 Kilogram Square Millimeter <-- Moment of Inertia of Flywheel

(Calculation completed in 00.004 seconds)

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National Institute of Technology (NIT), Tiruchirapalli

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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

Moment of Inertia of Flywheel Formula

LaTeX Go

Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel
I = (T₁-T₂)/α

What is Moment of Inertia?

Moment of inertia is a physical property that measures an object's resistance to angular acceleration when subjected to a torque. It depends on the mass distribution relative to the axis of rotation; the farther the mass is from the axis, the higher the moment of inertia. This property is crucial in determining how much torque is needed to rotate an object at a given angular acceleration. Moment of inertia is widely used in engineering and physics to analyze rotational motion in various systems.

How to Calculate Moment of Inertia of Flywheel?

Moment of Inertia of Flywheel calculator uses Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel to calculate the Moment of Inertia of Flywheel, Moment of Inertia of Flywheel formula is defined as a measure of an object's resistance to changes in its rotation, which is critical in the design of flywheels, as it affects the flywheel's ability to store and release energy efficiently. Moment of Inertia of Flywheel is denoted by I symbol.

How to calculate Moment of Inertia of Flywheel using this online calculator? To use this online calculator for Moment of Inertia of Flywheel, enter Driving Input Torque of Flywheel (T₁), Load Output Torque of Flywheel (T₂) & Angular Acceleration of Flywheel (α) and hit the calculate button. Here is how the Moment of Inertia of Flywheel calculation can be explained with given input values -> 4.3E+12 = (20.85-13.9)/1.6.

FAQ

What is Moment of Inertia of Flywheel?

Moment of Inertia of Flywheel formula is defined as a measure of an object's resistance to changes in its rotation, which is critical in the design of flywheels, as it affects the flywheel's ability to store and release energy efficiently and is represented as I = (T₁-T₂)/α or Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel. Driving Input Torque of Flywheel is the rotational force that causes the flywheel to rotate, typically measured in units of newton-meters or foot-pounds, Load Output Torque of Flywheel is the rotational force that the flywheel exerts on the shaft, resisting changes in its rotational speed or position & Angular Acceleration of Flywheel is the rate of change of angular velocity of a flywheel, which is a rotating mechanical device that stores energy kinetically.

How to calculate Moment of Inertia of Flywheel?

Moment of Inertia of Flywheel formula is defined as a measure of an object's resistance to changes in its rotation, which is critical in the design of flywheels, as it affects the flywheel's ability to store and release energy efficiently is calculated using Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel. To calculate Moment of Inertia of Flywheel, you need Driving Input Torque of Flywheel (T₁), Load Output Torque of Flywheel (T₂) & Angular Acceleration of Flywheel (α). With our tool, you need to enter the respective value for Driving Input Torque of Flywheel, Load Output Torque of Flywheel & Angular Acceleration of Flywheel and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Moment of Inertia of Flywheel?

In this formula, Moment of Inertia of Flywheel uses Driving Input Torque of Flywheel, Load Output Torque of Flywheel & Angular Acceleration of Flywheel. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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