The dynamic behavior of a temperature sensor transmitter can be modeled as a first order transfer function (in deviation variables) that relates the measured value T m to the actual temperature, T Both T m and T sup2 have units of C and the time constant has units of seconds An alarm will sound when T m exceeds 30 C If the process is initially at steady state, and then T suddenly changes from 25 to 35 C at 1 10 PM, at what time will the alarm sound T(s) T'(s) 10s 1

Question: The dynamic behavior of a temperature sensor / transmitter can be modeled as a first-order transfer function (in deviation variables) that relates the measured value

The dynamic behavior of a temperature sensor / transmitter can be modeled as a first-order transfer function (in deviation variables) that relates the measured value T_mto the actual temperature, T

T(s) T'(s) т 10s + 1

Both T_m and T€² have units of ^ˆ˜C and the time constant has units of seconds. An alarm will sound when T_m exceeds 30 ^ˆ˜C. If the process is initially at steady state, and then T suddenly changes from 25 to 35 ^ˆ˜C at 1:10 PM, at what time will the alarm sound?

T(s) T'(s) 10s + 1

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