The formula to calculate Moment of Inertia (I) is:
\[ I = \frac{2}{3} M r \]
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:
\[ I = \frac{2}{3} M r \]
Evaluating:
\[ I = \frac{2}{3} \times 12.6 \times 2.1 \]
The Moment of Inertia is 17.64 kg·m².
| Mass of Body (M, kg) | Radius of Body (r, m) | Moment of Inertia (I, kg·m²) |
|---|---|---|
| 10 | 1.5 | 10.0000 |
| 10 | 2 | 13.3333 |
| 10 | 2.5 | 16.6667 |
| 11 | 1.5 | 11.0000 |
| 11 | 2 | 14.6667 |
| 11 | 2.5 | 18.3333 |
| 12 | 1.5 | 12.0000 |
| 12 | 2 | 16.0000 |
| 12 | 2.5 | 20.0000 |
| 13 | 1.5 | 13.0000 |
| 13 | 2 | 17.3333 |
| 13 | 2.5 | 21.6667 |
| 14 | 1.5 | 14.0000 |
| 14 | 2 | 18.6667 |
| 14 | 2.5 | 23.3333 |
| 15 | 1.5 | 15.0000 |
| 15 | 2 | 20.0000 |
| 15 | 2.5 | 25.0000 |