Consider a temperature sensor in a tank reading 20°C. The sensor is transferred to a second tank which is at 80°C. The dynamic behavior of the sensor is represented by a linear first order model (See Module 2). The time constant for the sensor is 20 seconds. a. b. Develop an analytical expression for the sensor reading as a function of time What is the sensor reading 10 seconds after transferring to the second tank

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 44E
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Consider a temperature sensor in a tank reading 20°C. The sensor is transferred to a second tank which is at 80°C.
The dynamic behavior of the sensor is represented by a linear first order model (See Module 2). The time constant
for the sensor is 20 seconds.
a.
b.
Develop an analytical expression for the sensor reading as a function of time
What is the sensor reading 10 seconds after transferring to the second tank
Transcribed Image Text:Consider a temperature sensor in a tank reading 20°C. The sensor is transferred to a second tank which is at 80°C. The dynamic behavior of the sensor is represented by a linear first order model (See Module 2). The time constant for the sensor is 20 seconds. a. b. Develop an analytical expression for the sensor reading as a function of time What is the sensor reading 10 seconds after transferring to the second tank
dT
S
dt
||
1
¹[T-T,]
TT'S
Ts
Model
Transcribed Image Text:dT S dt || 1 ¹[T-T,] TT'S Ts Model
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