The formula to calculate the Restoring Torque for a Simple Pendulum is:
\[ \tau = M \cdot g \cdot \sin(\theta_{\text{displaced}}) \cdot L_{\text{string}} \]
The Restoring Torque for a Simple Pendulum is the torque exerted on the wheel due to the gravitational force acting on the mass of the body, causing it to oscillate. It is calculated based on the mass of the body, the acceleration due to gravity, the angle through which the string is displaced, and the length of the string.
Let's assume the following values:
Using the formula:
\[ \tau = 12.6 \cdot 9.8 \cdot \sin(0.8) \cdot 0.049 \approx 4.34037737510938 \, \text{Newton Meters} \]
The Restoring Torque is approximately 4.34037737510938 Newton Meters.
| Mass of Body (kilograms) | Restoring Torque (Newton Meters) |
|---|---|
| 10 | 3.444743948499509 |
| 11 | 3.789218343349460 |
| 12 | 4.133692738199410 |
| 13 | 4.478167133049362 |
| 14 | 4.822641527899313 |
| 15 | 5.167115922749263 |