The formula to calculate Moment of Inertia (\(I\)) is:
\[ I = M \cdot r^2 \]
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:
\[ I = M \cdot r^2 \]
Evaluating:
\[ I = 12.6 \cdot 2.1^2 \]
The Moment of Inertia is 55.566 kg·m².
| Mass of Body (M) | Radius of Body (r) | Moment of Inertia (I) |
|---|---|---|
| 10 | 1 | 10.000000000000000 |
| 10 | 1.5 | 22.500000000000000 |
| 10 | 2 | 40.000000000000000 |
| 10 | 2.5 | 62.500000000000000 |
| 10 | 3 | 90.000000000000000 |
| 11 | 1 | 11.000000000000000 |
| 11 | 1.5 | 24.750000000000000 |
| 11 | 2 | 44.000000000000000 |
| 11 | 2.5 | 68.750000000000000 |
| 11 | 3 | 99.000000000000000 |
| 12 | 1 | 12.000000000000000 |
| 12 | 1.5 | 27.000000000000000 |
| 12 | 2 | 48.000000000000000 |
| 12 | 2.5 | 75.000000000000000 |
| 12 | 3 | 108.000000000000000 |
| 13 | 1 | 13.000000000000000 |
| 13 | 1.5 | 29.250000000000000 |
| 13 | 2 | 52.000000000000000 |
| 13 | 2.5 | 81.250000000000000 |
| 13 | 3 | 117.000000000000000 |
| 14 | 1 | 14.000000000000000 |
| 14 | 1.5 | 31.500000000000000 |
| 14 | 2 | 56.000000000000000 |
| 14 | 2.5 | 87.500000000000000 |
| 14 | 3 | 126.000000000000000 |
| 15 | 1 | 15.000000000000000 |
| 15 | 1.5 | 33.750000000000000 |
| 15 | 2 | 60.000000000000000 |
| 15 | 2.5 | 93.750000000000000 |
| 15 | 3 | 135.000000000000000 |
| 16 | 1 | 16.000000000000000 |
| 16 | 1.5 | 36.000000000000000 |
| 16 | 2 | 64.000000000000000 |
| 16 | 2.5 | 100.000000000000000 |
| 16 | 3 | 144.000000000000000 |
| 17 | 1 | 17.000000000000000 |
| 17 | 1.5 | 38.250000000000000 |
| 17 | 2 | 68.000000000000000 |
| 17 | 2.5 | 106.250000000000000 |
| 17 | 3 | 153.000000000000000 |
| 18 | 1 | 18.000000000000000 |
| 18 | 1.5 | 40.500000000000000 |
| 18 | 2 | 72.000000000000000 |
| 18 | 2.5 | 112.500000000000000 |
| 18 | 3 | 162.000000000000000 |
| 19 | 1 | 19.000000000000000 |
| 19 | 1.5 | 42.750000000000000 |
| 19 | 2 | 76.000000000000000 |
| 19 | 2.5 | 118.750000000000000 |
| 19 | 3 | 171.000000000000000 |
| 20 | 1 | 20.000000000000000 |
| 20 | 1.5 | 45.000000000000000 |
| 20 | 2 | 80.000000000000000 |
| 20 | 2.5 | 125.000000000000000 |
| 20 | 3 | 180.000000000000000 |