What is moment of inertia?

Moment of inertia measures how much an object resists changes to its rotational speed. It depends on both the object's mass and how that mass is distributed relative to the axis of rotation.

What is the formula for the moment of inertia of a solid disk?

For a solid disk or cylinder rotating about its central axis, I = 0.5 × m × r², where m is mass and r is radius.

How do I convert kg m2 to g cm2?

Multiply the kg m2 value by 10,000,000 (1e7) to get g cm2.

How do I convert g cm2 to kg m2?

Divide the g cm2 value by 10,000,000 (1e7) to get kg m2.

A slug ft2 is the US customary unit of moment of inertia, equal to approximately 1.35582 kg m2.

How do I convert slug ft2 to kg m2?

Multiply the slug ft2 value by approximately 1.35582 to get kg m2.

What is the difference between mass and moment of inertia?

Mass measures resistance to linear acceleration, while moment of inertia measures resistance to angular (rotational) acceleration, and depends on how mass is distributed around the rotation axis.

How do I convert lb ft2 to kg m2?

Multiply the lb ft2 value by approximately 0.0421401 to get kg m2.

What units is moment of inertia measured in?

Moment of inertia is measured in mass times length squared, such as kg m2 in SI units, or slug ft2 and lb ft2 in US customary units.

How accurate is this inertia converter?

All conversions are calculated internally in kg m2 using standard defined constants, with results rounded to up to 10 decimal places.

Does the shape of an object affect its moment of inertia?

Yes. Two objects with the same mass can have very different moments of inertia depending on how their mass is distributed relative to the rotation axis; a solid disk, a ring and a sphere all use different formulas.

Where is moment of inertia used in engineering?

It is used to analyze flywheels, motors, gears, vehicle wheels, and any rotating machinery where resistance to angular acceleration matters.

Can this tool handle negative or scientific notation values?

Yes, decimals and scientific notation such as 1.5e3 are supported, though mass and radius are generally treated as positive magnitudes.

Is ConvertGPT's inertia converter free to use?

Yes, it is completely free, requires no registration, and runs entirely in your browser with no usage limits.

Responsive Advertisement

Moment of Inertia Conversions

8 inertia units · calculator + converter

Moment of Inertia Converter & Calculator

Work out the moment of inertia of a solid disk from its mass and radius, then convert the result into kg m2, g cm2, lb ft2, slug ft2 and more — all calculated instantly in your browser.

8Inertia units

10Decimal precision

0msServer round-trips

Mass

Radius

Mass unit Radius unit Show result in

0.5kg m2

I = 0.5 × m × r² = 0.5 × 4 × 0.5² = 0.5 kg m2

From

kg m2

To

g cm2

10000000g cm2

g cm2 = kg m2 × 10,000,000

Runs locally, no data sent Standard NIST/BIPM factors Free, no sign-up

Inertia formulas & common conversions

The exact formula behind the calculator above, plus the most-searched conversion factors.

Quick conversion table

Common values for your selected units in the converter above, updated automatically.

kg m2	g cm2

Inertia unit reference

What each unit means and where it's typically used.

More converters from ConvertGPT

Working across other units too? These are the ones people pair with moment of inertia most often.

Frequently asked questions

Straight answers to the questions people ask most about calculating and converting moment of inertia.

All calculations and conversions run locally in your browser using standard NIST/BIPM conversion factors. No data is sent anywhere.

Convertgpt