The formula to calculate the Time Response for Second Order System is:
\[ C_t = 1 - \cos(\omega_n \cdot T) \]
Where:
Time Response for Second Order System is defined as the response of a second-order system towards any applied input.
Let's assume the following values:
Using the formula:
\[ C_t = 1 - \cos(23 \cdot 0.15) \]
Evaluating:
\[ C_t = 1.9528182145943 \]
The Time Response for Second Order System is 1.9528182145943.
| Natural Frequency of Oscillation (Hz) | Time Period for Oscillations (s) | Time Response for Second Order System |
|---|---|---|
| 20 | 0.15 | 1.989992496600 |
| 21 | 0.15 | 1.999964658471 |
| 22 | 0.15 | 1.987479769909 |
| 23 | 0.15 | 1.952818214594 |
| 24 | 0.15 | 1.896758416334 |
| 25 | 0.15 | 1.820559357340 |