Problem 4-3: The output from a temperature system indicates a steady, time-varying signal having an amplitude that varies between 30 and 40 degrees Centigrade with a single frequency of 10 Hz. Express the output signal as a waveform equation, y (t). If the dynamic error is to be less than 1%, what must be the system's time constant?
Problem 4-3: The output from a temperature system indicates a steady, time-varying signal having an amplitude that varies between 30 and 40 degrees Centigrade with a single frequency of 10 Hz. Express the output signal as a waveform equation, y (t). If the dynamic error is to be less than 1%, what must be the system's time constant?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:KNOWN: Dynamic calibration using a step input
Yoo-y(0) = 100 units
y(t = 1.2 s) = 80 units
y(0) = 0 units
FIND: T and y(t = 1.5 s).
HELP:
A 1st-order system subjected to a step input can be modeled as:
Tý+ y = KAU (t) with y(0)
The solution is given by Eq.3.5.
From the information provided, you can establish the KA.
Then, using information that y(1.2) = 80 units, you can solve equation y(t) for T.
Finally, you can calculate y(1.5).
Transcribed Image Text:Problem 4-3: The output from a temperature system indicates a steady,
time-varying signal having an amplitude that varies between 30 and 40
degrees Centigrade with a single frequency of 10 Hz. Express the output
signal as a waveform equation, y (t). If the dynamic error is to be less
than 1%, what must be the system's time constant?
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