The formula to calculate Moment of Inertia (I) is:
\[ I = \frac{2}{5} M r^2 \]
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:
\[ I = \frac{2}{5} M r^2 \]
Evaluating:
\[ I = \frac{2}{5} \times 12.6 \times 2.1^2 \]
The Moment of Inertia is 22.2264 kg·m².
| Mass of Body (M, kg) | Radius of Body (r, m) | Moment of Inertia (I, kg·m²) |
|---|---|---|
| 10 | 1.5 | 9.0000 |
| 10 | 2 | 16.0000 |
| 10 | 2.5 | 25.0000 |
| 11 | 1.5 | 9.9000 |
| 11 | 2 | 17.6000 |
| 11 | 2.5 | 27.5000 |
| 12 | 1.5 | 10.8000 |
| 12 | 2 | 19.2000 |
| 12 | 2.5 | 30.0000 |
| 13 | 1.5 | 11.7000 |
| 13 | 2 | 20.8000 |
| 13 | 2.5 | 32.5000 |
| 14 | 1.5 | 12.6000 |
| 14 | 2 | 22.4000 |
| 14 | 2.5 | 35.0000 |
| 15 | 1.5 | 13.5000 |
| 15 | 2 | 24.0000 |
| 15 | 2.5 | 37.5000 |