The formula to calculate the Time Period of Oscillations is:
\[ T = \frac{2 \pi}{\omega_d} \]
Time Period for Oscillations is the time taken by a complete cycle of the wave to pass a particular interval. Damped Natural Frequency is the particular frequency at which a resonant mechanical structure will continue oscillating if set in motion and left to its own devices.
Let's assume the following value:
Using the formula:
\[ T = \frac{2 \pi}{22.88} = 0.27461474244666 \text{ s} \]
| Damped Natural Frequency (ωd) | Time Period (T) |
|---|---|
| 20 Hz | 0.314159265359 s |
| 21 Hz | 0.299199300342 s |
| 22 Hz | 0.285599332145 s |
| 23 Hz | 0.273181969877 s |
| 24 Hz | 0.261799387799 s |
| 25 Hz | 0.251327412287 s |