moment of inertia formula |define the moment of inertia |moment of inertia is

moment of inertia formula |define the moment of inertia |moment of inertia is

INTRODUCTION :

Moment of Inertia - Unit Converting Table:

From:	To:
kilogram square meterkilogram square centimeterkilogram square millimetergram square centimetergram square millimeterkilogram-force meter square secondkilogram-force centimeter square secondounce square inch [oz*in^2]ounce-force inch sq. secondpound square foot [lb*ft^2]pound-force foot sq. secondpound square inch [lb*in^2]pound-force inch sq. secondslug square foot [slug*ft^2]	kilogram square meterkilogram square centimeterkilogram square millimetergram square centimetergram square millimeterkilogram-force meter square secondkilogram-force centimeter square secondounce square inch [oz*in^2]ounce-force inch sq. secondpound square foot [lb*ft^2]pound-force foot sq. secondpound square inch [lb*in^2]pound-force inch sq. secondslug square foot [slug*ft^2]

Definition of Area Moment Of Inertia:

Area Moment Of Inertia also known as the Second Moment of Area, is a geometrical property of an area which measures how its points are distributed about an arbitrary axis. Its unit of dimension is length of fourth power, L^4, and should not be confused with the Mass Moment of Inertia. Where, for a thin piece of material, the Mass Moment of Inertia is equivalanet to the Area Density times the Area Moment of Inertia.

Abbreviations of Area Moment Of Inertia Units:

• Unit of measurement: Abbreviation(s)
• Double Square Millimeter: mm4, or mm 4
• Double Square Centimeter: cm4, or cm 4
• Double Square Meter: m4, or m 4
• Double Square Inch: in4, or in 4
• Double Square Foot: ft4

Complete list of the moment of inertia units for conversion

• kilogram square meter
• 1 kilogram square centimeter = 0.0001 kilogram square meter
• kilogram square centimetre to kilogram square meter,   kilogram square meter to kilogram square centimetre
• 1 kilogram square millimeter = 1.0E-6 kilogram square meter
• kilogram square millimetre to kilogram square meter,   kilogram square meter to kilogram square millimetre
• 1 gram square centimeter = 1.0E-7 kilogram square meter
• gram square centimetre to kilogram square meter,   kilogram square meter to gram square centimetre
• 1 gram square millimeter = 1.0E-9 kilogram square meter
• gram square millimetre to kilogram square meter,   kilogram square meter to gram square millimetre
• 1 kilogram-force meter square second = 9.8066499998-kilogram square meter
• kilogram-force meter square second to kilogram square meter,   kilogram square meter to kilogram-force meter square second
• 1 kilogram-force centimeter square second = 0.0980665 kilogram square meter
• kilogram-force centimetre square second to kilogram square meter,   kilogram square meter to kilogram-force centimetre square second
• 1 ounce square inch [oz*in^2] = 1.829E-5 kilogram square meter
• ounce square inch to kilogram square meter,   kilogram square meter to ounce square inch
• 1 ounce-force inch sq. second = 0.0070615519 kilogram square meter
• ounce-force inch sq. second to kilogram square meter,   kilogram square meter to ounce-force inch sq. second
• 1 pound square foot [lb*ft^2] = 0.0421401101 kilogram square meter
• pound square foot to kilogram square meter,   kilogram square meter to pound square foot
• 1 pound-force foot sq. second = 1.3558179619-kilogram square meter
• pound-force foot sq. second to kilogram square meter,   kilogram square meter to pound-force foot sq. second
• 1 pound square inch [lb*in^2] = 0.0002926397 kilogram square meter
• pound square inch to kilogram square meter,   kilogram square meter to pound square inch
• 1 pound-force inch sq. second = 0.1129848302 kilogram square meter
• pound-force inch sq. second to kilogram square meter,   kilogram square meter to pound-force inch sq. second
• 1 slug square foot [slug*ft^2] = 1.3558179619 kilogram square meter
• slug square foot to kilogram square meter,   kilogram square meter to slug square foot

Convert between Area Moment of Inertia units:

The general equation for the Moment of Inertia for bending around an axis can be expressed as
I_axis = ∫ y² dA                          (1)
where
I_axis = Area Moment of Inertia related to an axis (m⁴, mm⁴, in⁴, ft⁴)
y = the perpendicular distance from axis to the element dA (m, mm, in, ft)
dA = an elemental area (m², mm², in², ft²)

Area Moment of Inertia Converter

Multiply with
Convert from	Convert to
	m4	cm4	mm4	in4	ft4
m4	1	108	1012	2.4 106	116.3
cm4	10-8	1	104	2.4 10-2	1.2 10-6
mm4	10-12	10-4	1	2.4 10-6	1.2 10-10
in4	4.16 10-7	41.6	4.16 105	1	4.8225 10-5
ft4	8.6 10-3	8.6 105	8.6 109	207346	1

Example - Convert between Area of Inertia Units

To convert from 160.6 cm⁴ to in⁴ multiply with 2.4 10^-2 as

(160.6 cm⁴) 2.4 10^-2 = 3.9 in⁴

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