Self$-$Learning Example

In the following system, determine the value of the gain that makes the system unstable if:

$($a$){}_D=0\mathrm{.}25$min and $($b$){}_D=0\mathrm{.}5$min. Use the following data:

$m^{}=250l\frac{b}{m}in$

$=62\mathrm{.}5l\frac{b}{f}{t}^3$

$V_1=4f{t}^3$

$V_2=5f{t}^3$

$V_3=6f{t}^3$

hat$(C{)}_p=1Bt\frac{u}{l}bF$