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Moment of Inertia of Flywheel Formula

GoMoment of Inertia of Flywheel Disk Formula

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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. Check FAQs

I = \frac{T 1 - T 2}{α}

I - Moment of Inertia of Flywheel?T₁ - Driving Input Torque of Flywheel?T₂ - Load Output Torque of Flywheel?α - Angular Acceleration of Flywheel?

Moment of Inertia of Flywheel Example

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Here is how the Moment of Inertia of Flywheel equation looks like with Values.

Here is how the Moment of Inertia of Flywheel equation looks like with Units.

Here is how the Moment of Inertia of Flywheel equation looks like.

4.3E+6 = \frac{20850 - 13900}{1.6}

4.3E+6kg*mm² = \frac{20850N*mm - 13900N*mm}{1.6rad/s²}

4.3E+6 = \frac{20850 - 13900}{1.6}

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Moment of Inertia of Flywheel Solution

Follow our step by step solution on how to calculate Moment of Inertia of Flywheel?

FIRST Step Consider the formula

I = \frac{T 1 - T 2}{α}

Next Step Substitute values of Variables

∴

I = \frac{20850N*mm - 13900N*mm}{1.6rad/s²}

Next Step Convert Units

∴

I = \frac{20.85N*m - 13.9N*m}{1.6rad/s²}

Next Step Prepare to Evaluate

∴

I = \frac{20.85 - 13.9}{1.6}

Next Step Evaluate

∴

I = 4.34375kg·m²

Next Step Convert to Output's Unit

∴

I = 4343750kg*mm²

LAST Step Rounding Answer

∴

I = 4.3E+6kg*mm²

Moment of Inertia of Flywheel Formula Elements

Variables

Moment of Inertia of Flywheel

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.

Symbol: I

Measurement: Moment of InertiaUnit: kg*mm²

Note: Value should be greater than 0.

Formulas to find Moment of Inertia of Flywheel

Driving Input Torque 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.

Symbol: T₁

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Driving Input Torque of Flywheel

Load Output Torque of Flywheel

Load Output Torque of Flywheel is the rotational force that the flywheel exerts on the shaft, resisting changes in its rotational speed or position.

Symbol: T₂

Measurement: TorqueUnit: N*mm

Note: Value should be greater than 0.

Formulas to find Load Output Torque of Flywheel

Angular Acceleration of Flywheel

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.

Symbol: α

Measurement: Angular AccelerationUnit: rad/s²

Note: Value can be positive or negative.

Formulas to find Angular Acceleration of Flywheel

Other Formulas to find Moment of Inertia of Flywheel

Go Moment of Inertia of Flywheel Disk

I = \frac{π}{2} \cdot ρ \cdot R^{4} \cdot t

Other formulas in Design of Flywheel category

Go Mean Angular Velocity of Flywheel

ω = \frac{n max + n min}{2}

Go Energy Output from Flywheel

U o = I \cdot ω^{2} \cdot C s

Go Coefficient of Fluctuation of Flywheel Speed given Mean Speed

C s = \frac{n max - n min}{ω}

Go Coefficient of Fluctuation of Flywheel Speed given Min and Max Speed

C s = 2 \cdot \frac{n max - n min}{n max + n min}

How to Evaluate Moment of Inertia of Flywheel?

Moment of Inertia of Flywheel evaluator uses Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel to evaluate 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 evaluate Moment of Inertia of Flywheel using this online evaluator? To use this online evaluator 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.

FAQs on Moment of Inertia of Flywheel

What is the formula to find Moment of Inertia of Flywheel?

The formula of Moment of Inertia of Flywheel is expressed as Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel. Here is an example- 4.3E+12 = (20.85-13.9)/1.6.

How to calculate Moment of Inertia of Flywheel?

With Driving Input Torque of Flywheel (T₁), Load Output Torque of Flywheel (T₂) & Angular Acceleration of Flywheel (α) we can find Moment of Inertia of Flywheel using the formula - Moment of Inertia of Flywheel = (Driving Input Torque of Flywheel-Load Output Torque of Flywheel)/Angular Acceleration of Flywheel.

What are the other ways to Calculate Moment of Inertia of Flywheel?

Here are the different ways to Calculate Moment of Inertia of Flywheel-

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

Can the Moment of Inertia of Flywheel be negative?

No, the Moment of Inertia of Flywheel, measured in Moment of Inertia cannot be negative.

Which unit is used to measure Moment of Inertia of Flywheel?

Moment of Inertia of Flywheel is usually measured using the Kilogram Square Millimeter[kg*mm²] for Moment of Inertia. Kilogram Square Meter[kg*mm²], Kilogram Square Centimeter[kg*mm²], Gram Square Centimeter[kg*mm²] are the few other units in which Moment of Inertia of Flywheel can be measured.

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Moment of Inertia of Flywheel Formula

​GoMoment of Inertia of Flywheel Disk Formula

Moment of Inertia of Flywheel Example

Moment of Inertia of Flywheel Solution

Moment of Inertia of Flywheel Formula Elements

Other Formulas to find Moment of Inertia of Flywheel

Other formulas in Design of Flywheel category

How to Evaluate Moment of Inertia of Flywheel?

FAQs on Moment of Inertia of Flywheel

Variable Name

GoMoment of Inertia of Flywheel Disk Formula