1. (20pts) A dynamic system has the transfer function given as

G(s) =

200(s+5)(s+20)

s(s+10) (s² +70s +2500)

(a) (10pts) Find the Bode Gain (K) in decibel (2pts), all corner frequencies (2pts), and time

constants (2pts), and the frequency response transfer function G(jw) (4pts).

(b) (5pts) Calculate the gain in decibel and the phase angle in degree at = 30 rad/sec.

(c) (5pts) Sketch the approximate Bode Magnitude Diagram for the system on the logarithmic

graph below.

Semilog Graph