The formula to calculate the Periodic Time for One Beat of SHM is:
\[ t_p = \pi \sqrt{\frac{L_{\text{string}}}{g}} \]
The Periodic Time for One Beat of SHM is the time required for one complete cycle of simple harmonic motion. It is calculated based on the length of the string and the acceleration due to gravity.
Let's assume the following values:
Using the formula:
\[ t_p = \pi \sqrt{\frac{0.049}{9.8}} \approx 0.222144146907918 \, \text{seconds} \]
The Periodic Time for One Beat of SHM is approximately 0.222144146907918 seconds.
| Length of String (meters) | Periodic Time (seconds) |
|---|---|
| 0.04 | 0.200708992315449 |
| 0.042 | 0.205665516254177 |
| 0.044 | 0.210505367047758 |
| 0.046 | 0.215236415449908 |
| 0.048 | 0.219865685170605 |
| 0.05 | 0.224399475256414 |
| 0.052 | 0.228843460634487 |
| 0.054 | 0.233202775401542 |
| 0.056 | 0.237482082344745 |
| 0.058 | 0.241685631378058 |