This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: Y(s) = G(s).X(s)
Y ( s) = 11
A
BC
=
+ +2
2
1 + τs s 1 + τs s s A = τ 2 B = − τ C =1 τ2
τ1
Y ( s) =
− +2
1 + τs s s
Y ( t ) = τe − t / τ − τ + t
(a) the difference between the indicated temperature and bath temperature
at t = 0.1 min = X(0.1)_ Y(0.1)
= 0.1  (0.2e0.1/0.2  0.2+0.1) since T = 0.2 given
= 0.0787 deg C
(b) t = 1.0 min
X(1)  Y(1) = 1 (0.2e1/0.2  0.2 +1) = 0.1986
(c) Deviation D = Y(t) +X(t)
= τet/T+T =τ (et/T+1)
For maximum value dD/dT = τ (et/T+(_1/T) = 0
et/ = 0
as t tend to infinitive
D = τ (et/T+(_1/T) = τ =0.2 deg C 5.2 A mercury thermometer bulb in ½ in . long by 1/8 in diameter. The
glass envelope is very thin. Calculate the time constant in water flowing
at 10 ft / sec at a temperature of 100 deg F. In your solution , give a
summary which includes
(a) Assumptions used.
(b) Source of data
(c) Results T = mCp/hA = ( ρAL)C p
h ( A + πDL) Calculation of NU d = Re d = Pr = hD
= CRem (Pr) n
K Dvρ µ Cpµ
K = (1 / 8 * 2.54 * 10 −2 )(10 * 0.3048)103
= 9677.4
10 −3 = 4.2 KJ / KgK Source data: Recently, Z hukauskas has given c,m ,ξ,n values.
For Re = 967704
C = 0.26 & m = 0.6
NuD = hD/K = 0.193 (9677.4)*(6.774X103) = 130
.h = 25380 5.3 Given a system with the transfer function Y(s)/X(s) = (T1s+1)/(T2s+1).
Find Y(t) if X(t) is a unit step function. If T1/T2 = s. Sktech Y(t) Versus
t/T2. Show the numerical values of minimum, maximum and ultimate values
that may occur during the transient. Check these using the initial value
and final value theorems of chapter 4. Y ( s) = T1s + 1
T2 s + 1 X(s) =unit step function = 1 X(s) = 1/s ...
View
Full
Document
This note was uploaded on 11/13/2011 for the course COP 4355 taught by Professor Koslov during the Spring '10 term at University of Florida.
 Spring '10
 Koslov

Click to edit the document details