Process Dynamics and Control CHPE $501$ Assignment Four $($Firs$$ Order System$)$

Student's Name and ID$.$

Q$1)$ A mercury thermometer having a time constant of $0\mathrm{.}1$min is placed in a temperature bath of $100F$ and allowed to equilibrium with the bath. At the initial time $)=(0,$ the temperature of the bath begins to vary sinusoidally about its average temperature $(100F)$ with an amplitude of $2F.$ If the frequency is $(\frac{10}{})cycl\frac{e}{m}in,$ find and plot the thermometer response $($reading$)$ on a graph paper.

Q$2)$ A liquid level system has been operated with inlet flowrate of $30\mathrm{.}4f\frac{t^3}{m}in$ for longe period of time. After the operator increases the flowrate suddenly by $10\%,$ liquid level in the tank changed as shown in Table below. Find the system TF and the write its response as function of time.

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