A. The flow of liquid from a tank in a manufacturing system has been modeled using the following equation: where: q(t)=ke(t)√h(t) q(t) is the rate of liquid flow out of the tank [m³/s] (1) is the position of a valve at the outlet of the tank [% open] h(t) is the height of liquid in the tank [m] k is a constant Obtain a linearized equation describing the flow rate q(t) as an approximate function of change in valve position 8(t) away from a nominal valve position 8, and change in liquid height h(t) away from a nominal liquid height ho.
A. The flow of liquid from a tank in a manufacturing system has been modeled using the following equation: where: q(t)=ke(t)√h(t) q(t) is the rate of liquid flow out of the tank [m³/s] (1) is the position of a valve at the outlet of the tank [% open] h(t) is the height of liquid in the tank [m] k is a constant Obtain a linearized equation describing the flow rate q(t) as an approximate function of change in valve position 8(t) away from a nominal valve position 8, and change in liquid height h(t) away from a nominal liquid height ho.
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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![A.
The flow of liquid from a tank in a manufacturing system has been modeled using the
following equation:
q(t)=ke(t)√h(t)
where: q(t) is the rate of liquid flow out of the tank [m³/s]
(1) is the position of a valve at the outlet of the tank [% open]
h(t) is the height of liquid in the tank [m]
k is a constant
Obtain a linearized equation describing the flow rate q(t) as an approximate function of
change in valve position 8(t) away from a nominal valve position 8, and change in liquid
height h(t) away from a nominal liquid height ho.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F371af14a-afd9-431b-bcf7-170abc26b2ed%2F1485cc59-b3a2-42c6-8d5e-ecd41241097e%2Fyic0uc_processed.png&w=3840&q=75)
Transcribed Image Text:A.
The flow of liquid from a tank in a manufacturing system has been modeled using the
following equation:
q(t)=ke(t)√h(t)
where: q(t) is the rate of liquid flow out of the tank [m³/s]
(1) is the position of a valve at the outlet of the tank [% open]
h(t) is the height of liquid in the tank [m]
k is a constant
Obtain a linearized equation describing the flow rate q(t) as an approximate function of
change in valve position 8(t) away from a nominal valve position 8, and change in liquid
height h(t) away from a nominal liquid height ho.
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