The formula to calculate the Frequency of a Compound Pendulum in SHM is:
\[ \text{Frequency} = \frac{1}{\text{Periodic Time}} \]
Frequency refers to the number of occurrences of a periodic event per time and is measured in cycles/second. The Periodic Time for a Compound Pendulum is the time taken by a complete cycle of the wave to pass a point.
Let's assume the following value:
Using the formula:
\[ \text{Frequency} = \frac{1}{6} \approx 0.166666666666667 \, \text{Hz} \]
The Frequency of the Compound Pendulum is approximately 0.166666666666667 Hz.
| Periodic Time (seconds) | Frequency (Hz) |
|---|---|
| 5 | 0.200000000000000 |
| 5.5 | 0.181818181818182 |
| 6 | 0.166666666666667 |
| 6.5 | 0.153846153846154 |
| 7 | 0.142857142857143 |