4.2 Consider the following transfer function: Y(s) 3e- U(s) 1Os +1 (a) What is the steady-state gain? (b) What is the time constant? (c) If U(s)4/s, what is the value of the output y(t) when t oo? (d) For the same input, what is the value of the output when t 10? What is the output when expressed as a fraction of the new steady-state value? (e) If U(s) (1-e-)s, the unit rectangular pulse, what is the output whent-oo? ( If u() 6(), the unit impulse at 0, what is the output when-00? (g) If u(t) 5 sin 2t, what is the value of the output when

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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Please answer parts (d), (e), and (f).

4.2
Consider the following transfer function:
Y(s) 3e-
U(s) 1Os +1
(a) What is the steady-state gain?
(b) What is the time constant?
(c) If U(s)4/s, what is the value of the output y(t) when
t oo?
(d) For the same input, what is the value of the output when
t 10? What is the output when expressed as a fraction of the
new steady-state value?
(e) If U(s) (1-e-)s, the unit rectangular pulse, what is the
output whent-oo?
( If u() 6(), the unit impulse at 0, what is the output
when-00?
(g) If u(t) 5 sin 2t, what is the value of the output when
Transcribed Image Text:4.2 Consider the following transfer function: Y(s) 3e- U(s) 1Os +1 (a) What is the steady-state gain? (b) What is the time constant? (c) If U(s)4/s, what is the value of the output y(t) when t oo? (d) For the same input, what is the value of the output when t 10? What is the output when expressed as a fraction of the new steady-state value? (e) If U(s) (1-e-)s, the unit rectangular pulse, what is the output whent-oo? ( If u() 6(), the unit impulse at 0, what is the output when-00? (g) If u(t) 5 sin 2t, what is the value of the output when
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