The formula to calculate Moment of Inertia (I) is:
\[ I = \frac{M \cdot r^2}{2} \]
Where:
Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
Mass of body is the quantity of matter in a body regardless of its volume or of any forces acting on it.
Radius of body is a radial line from the focus to any point of a curve.
Let's assume the following values:
Using the formula:
\[ I = \frac{M \cdot r^2}{2} \]
Evaluating:
\[ I = \frac{12.6 \cdot (2.1)^2}{2} \]
The Moment of Inertia is 27.783 kg·m².
| Mass of Body (M) | Radius of Body (r) | Moment of Inertia (I) |
|---|---|---|
| 10 | 1 | 5.000000000000000 |
| 10 | 1.5 | 11.250000000000000 |
| 10 | 2 | 20.000000000000000 |
| 10 | 2.5 | 31.250000000000000 |
| 10 | 3 | 45.000000000000000 |
| 11 | 1 | 5.500000000000000 |
| 11 | 1.5 | 12.375000000000000 |
| 11 | 2 | 22.000000000000000 |
| 11 | 2.5 | 34.375000000000000 |
| 11 | 3 | 49.500000000000000 |
| 12 | 1 | 6.000000000000000 |
| 12 | 1.5 | 13.500000000000000 |
| 12 | 2 | 24.000000000000000 |
| 12 | 2.5 | 37.500000000000000 |
| 12 | 3 | 54.000000000000000 |
| 13 | 1 | 6.500000000000000 |
| 13 | 1.5 | 14.625000000000000 |
| 13 | 2 | 26.000000000000000 |
| 13 | 2.5 | 40.625000000000000 |
| 13 | 3 | 58.500000000000000 |
| 14 | 1 | 7.000000000000000 |
| 14 | 1.5 | 15.750000000000000 |
| 14 | 2 | 28.000000000000000 |
| 14 | 2.5 | 43.750000000000000 |
| 14 | 3 | 63.000000000000000 |
| 15 | 1 | 7.500000000000000 |
| 15 | 1.5 | 16.875000000000000 |
| 15 | 2 | 30.000000000000000 |
| 15 | 2.5 | 46.875000000000000 |
| 15 | 3 | 67.500000000000000 |
| 16 | 1 | 8.000000000000000 |
| 16 | 1.5 | 18.000000000000000 |
| 16 | 2 | 32.000000000000000 |
| 16 | 2.5 | 50.000000000000000 |
| 16 | 3 | 72.000000000000000 |
| 17 | 1 | 8.500000000000000 |
| 17 | 1.5 | 19.125000000000000 |
| 17 | 2 | 34.000000000000000 |
| 17 | 2.5 | 53.125000000000000 |
| 17 | 3 | 76.500000000000000 |
| 18 | 1 | 9.000000000000000 |
| 18 | 1.5 | 20.250000000000000 |
| 18 | 2 | 36.000000000000000 |
| 18 | 2.5 | 56.250000000000000 |
| 18 | 3 | 81.000000000000000 |
| 19 | 1 | 9.500000000000000 |
| 19 | 1.5 | 21.375000000000000 |
| 19 | 2 | 38.000000000000000 |
| 19 | 2.5 | 59.375000000000000 |
| 19 | 3 | 85.500000000000000 |
| 20 | 1 | 10.000000000000000 |
| 20 | 1.5 | 22.500000000000000 |
| 20 | 2 | 40.000000000000000 |
| 20 | 2.5 | 62.500000000000000 |
| 20 | 3 | 90.000000000000000 |