Answer to Question #233487 in Chemical Engineering for Lok

Question #233487

Consider the following transfer function Gp=S/(2S+1)^4 the time constant is in seconds. The crossover frequency of the process in rad's is


a. 20 b. 0.1


c. 0.5


d. 0.05


1
Expert's answer
2021-09-16T02:17:17-0400

"G_p=\\dfrac{S}{(2S+1)^4}"


Partial fraction expansion;

"\\dfrac1{(2 (2 S + 1)^3)} - \\dfrac1{(2 (2 S + 1)^4)}"


let s = 0 in the transfer function, the resulting response c(t) is

"c(t) = 1-\\exp^{-2t}"


The time constant is thus,

"\\tau =1\/2" second


Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!

Comments

No comments. Be the first!

Leave a comment

LATEST TUTORIALS
New on Blog
APPROVED BY CLIENTS