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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

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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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