Question Solved1 Answer 3.5 A thermal sensor having a time constant of 1 s is used to record a step change of 0 °C to 49 °C in process temperature. Show the sensor time response, T(t). Determine the 90% rise time. H.u -

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Transcribed Image Text: 3.5 A thermal sensor having a time constant of 1 s is used to record a step change of 0 °C to 49 °C in process temperature. Show the sensor time response, T(t). Determine the 90% rise time. H.u -
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Transcribed Image Text: 3.5 A thermal sensor having a time constant of 1 s is used to record a step change of 0 °C to 49 °C in process temperature. Show the sensor time response, T(t). Determine the 90% rise time. H.u -
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Answor: Given that, time constant of isStep change of 0^(@)C to 49^(@)C in proces temperatere(a) Show the exnsin time rusperve:-Gonsider y(t)=k_(n)(1-e^(-t//tau))than y(t)=49(1-e^(-t)){:[[:'v_(alpha)=kn=49:}],[T=15]]:}If{:[t=0=>y(0)=49(1-e^(-0))=49(1-1)=0],[t=1=>y(1)=49(1-e^(-1))=30.97],[t=2=>y(2)=49(1-e^(-2))=42","36],[t=3=>y(3)=49(1-e^(-3))=46.56quad" Similarly "t=5=>y(5)=48","66],[t=4=>y(4)=49(1-e^(-4))=48.10quad t=6=>y(6)=48.87.]:}Now draw graph t vs y(t)on x axis consider t; on y axls consider g(t)(b) Determination of 90% gise time:-For first order s ... See the full answer