An input vs(t) = 20 sin cot V was applied to a certain electrical system for various values of the frequency ω, and the amplitude |vo| of the steady-state output was recorded. The data are shown in the following table. Determine the transfer function Vo(s)/Vs(s).
ω(rad/s) |x|(V)
0.1.................................5.48
0.2.................................5.34
0.3.................................5.15
0.4.................................4.92
0.5.................................4.67
0.6.................................4.40
0.7.................................4.14
0.8.................................3.89
0.9.................................3.67
1....................................3.20
1.5.................................2.59
2....................................2.05
3....................................1.42
4....................................1.08
5....................................0.87
6....................................0.73
7....................................0.63