# 1. Sketch the response Y(t) if Y(s) = e -2s/[~2 + 1.2s + 11. Determine Y(t) for t = 0, 1,5, and 00..

1. Sketch the response Y(t) if Y(s) = e
-2s/[~2 + 1.2s + 11. Determine Y(t) for t = 0,
1,5, and 00.

2. The two tanks shown in Fig. P8.13 are
connected in an interacting fashion. The system is initially at steady state
with q
=
10 cfm. The following data apply to the tanks: Al = 1
ft2,A2 = 1.25 ft2,Rt = 1 ft/cfm,Rz = 0.8 ft/cfm.

(a) If the flow changes from 10 to 11
cfm according to a step change, determine Hz(s), i.e.,
the Laplace transform of Hz(t), where H2 is
the deviation in h2.

(b) Determine Hz(l), HZ(~), and H2(m).

(c) Determine the initial levels (actual
levels) h t(O) and h

1. Sketch the response Y(t) if Y(s) = e
-2s/[~2 + 1.2s + 11. Determine Y(t) for t = 0,
1,5, and 00.

2. The two tanks shown in Fig. P8.13 are
connected in an interacting fashion. The system is initially at steady state
with q
=
10 cfm. The following data apply to the tanks: Al = 1
ft2,A2 = 1.25 ft2,Rt = 1 ft/cfm,Rz = 0.8 ft/cfm.

(a) If the flow changes from 10 to 11
cfm according to a step change, determine Hz(s), i.e.,
the Laplace transform of Hz(t), where H2 is
the deviation in h2.

(b) Determine Hz(l), HZ(~), and H2(m).

(c) Determine the initial levels (actual
levels) h t(O) and h ~(0) in the tanks.

(d) Obtain an expression for HI(S) for
the unit-step change described above.

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