Moment of Inertia Converter - Convert kg⋅m², lb⋅ft², g⋅cm² & More Units

Value

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Result:

1 kg⋅m² = 23.73036046 lb⋅ft²

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How Moment of Inertia Conversion Works

Input Value

Enter moment of inertia value

Select Units

Choose from and to units

Convert

Apply conversion formula

I₂ = I₁ × (f₁/f₂)

Conversion formula

Moment of Inertia Formulas

Point Mass:

I = m × r²

Example: m = 2 kg, r = 3 m

I = 2 × 3² = 18 kg⋅m²

Solid Cylinder:

I = ½ × m × r²

Example: m = 4 kg, r = 2 m

I = ½ × 4 × 2² = 8 kg⋅m²

Solid Sphere:

I = (2/5) × m × r²

Example: m = 5 kg, r = 1 m

I = (2/5) × 5 × 1² = 2 kg⋅m²

Thin Rod (center):

I = (1/12) × m × L²

Example: m = 3 kg, L = 4 m

I = (1/12) × 3 × 4² = 4 kg⋅m²

Moment of Inertia Conversion Table

kg⋅m²	lb⋅ft²	g⋅cm²	oz⋅in²	slug⋅ft²	lb⋅in²
0.001	0.0237	10000	5467	0.0007	3.42
0.01	0.2373	100000	54675	0.0074	34.17
0.1	2.3730	1000000	546746	0.0738	341.72
0.5	11.8652	5000000	2733728	0.3688	1708.58
1	23.7304	10000000	5467456	0.7376	3417.17
2	47.4607	20000000	10934912	1.4751	6834.34
5	118.6518	50000000	27337279	3.6878	17085.84
10	237.3036	100000000	54674558	7.3756	34171.68
20	474.6072	200000000	109349117	14.7512	68343.36
50	1186.5180	500000000	273372791	36.8781	170858.39
100	2373.0360	1000000000	546745583	73.7562	341716.79
200	4746.0721	2000000000	1093491166	147.5124	683433.57
500	11865.1802	5000000000	2733727914	368.7811	1708583.93
1000	23730.3605	10000000000	5467455828	737.5621	3417167.85
5000	118651.8023	50000000000	27337279138	3687.8107	17085839.26

Moment of Inertia Units Progression Chart

0.1 kg⋅m²

lb⋅ft²:2.37

g⋅cm²:1,000,000

1 kg⋅m²

lb⋅ft²:23.73

g⋅cm²:10,000,000

5 kg⋅m²

lb⋅ft²:118.65

g⋅cm²:50,000,000

10 kg⋅m²

lb⋅ft²:237.30

g⋅cm²:100,000,000

50 kg⋅m²

lb⋅ft²:1186.50

g⋅cm²:500,000,000

100 kg⋅m²

lb⋅ft²:2373.00

g⋅cm²:1,000,000,000

Practice Problems

Problem 1:

Convert 5 kg⋅m² to lb⋅ft²

Solution: 5 ÷ 0.04214011 = 118.65 lb⋅ft²

Problem 2:

Convert 100 lb⋅ft² to kg⋅m²

Solution: 100 × 0.04214011 = 4.214 kg⋅m²

Problem 3:

Convert 2 slug⋅ft² to kg⋅m²

Solution: 2 × 1.35581795 = 2.712 kg⋅m²

Problem 4:

Convert 50000000 g⋅cm² to kg⋅m²

Solution: 50000000 × 0.0000001 = 5 kg⋅m²

Problem 5:

Convert 1000 lb⋅in² to kg⋅m²

Solution: 1000 × 0.000292640 = 0.293 kg⋅m²

Daily Uses of Moment of Inertia

Car wheel design affects vehicle handling and fuel efficiency

Figure skater spins faster by pulling arms closer to body

Flywheel energy storage systems in hybrid vehicles

Gyroscope stability in smartphones and aircraft navigation

Washing machine drum balance prevents excessive vibration

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Quick Reference

📏1 meter

3.28 feet

⚖️1 kilogram

2.2 pounds

🌡️0°C

32°F

🥤1 liter

0.26 gallon