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ME 365
HOMEWORK SET 5
Spring 2010
Out: Thursday, February 11 2010
Due: Thursday, February 18 2010
1
Solve each problem on separate sets of sheets.
Dynamic System Response—Time Response
Problem
1 (First Order Step Response)
The time response of a thermocouple is described by the following first order differential equation:
0
dy
y
KT
V
dt
where y is the output voltage, T is the input temperature,
is the time constant, K is the static
sensitivity, and V
0
is the bias voltage. For an initial temperature T
0
, a final temperature of T
f
, with a step
change in external temperature T at time t=0 and initial voltage output y(0)=KT
0
, find the following:
a.
The particular solution of the differential equation or the steady state response of the
thermocouple.
b.
The homogeneous solution of the differential equation or the transient response of the
thermocouple.
c.
Determine the overall time response of the thermocouple.
d.
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This note was uploaded on 10/24/2010 for the course MA 303 taught by Professor Staff during the Spring '08 term at Purdue UniversityWest Lafayette.
 Spring '08
 Staff

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