The formula to calculate the Moment of Inertia of a Pendulum Bob is:
\[ \text{Moment of Inertia} = \text{Mass} \times \text{Length of String}^2 \]
The Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis. The Mass of the body is the quantity of matter in a body regardless of its volume or any forces acting on it. The Length of the String is the length measurement of the string of the pendulum.
Let's assume the following values:
Using the formula:
\[ \text{Moment of Inertia} = 12.6 \times 0.049^2 \approx 0.0302526 \, \text{kg·m²} \]
The Moment of Inertia of the Pendulum Bob is approximately 0.0302526 kg·m².
| Mass (kg) | Length (meters) | Moment of Inertia (kg·m²) |
|---|---|---|
| 10 | 0.049 | 0.024010000000000 |
| 11 | 0.049 | 0.026411000000000 |
| 12 | 0.049 | 0.028812000000000 |
| 13 | 0.049 | 0.031213000000000 |
| 14 | 0.049 | 0.033614000000000 |
| 15 | 0.049 | 0.036015000000000 |