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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21ccb40a-843c-4cb0-ba83-ce7578be8989%2Fd58ff53f-04eb-4272-999e-c48ea706f1da%2Fgwc2qa4_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F21ccb40a-843c-4cb0-ba83-ce7578be8989%2Fd58ff53f-04eb-4272-999e-c48ea706f1da%2Fukymzxa9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:dT
S
dt
||
1
¹[T-T,]
TT'S
Ts
Model
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