(Solved): A process-control system requires that the velocity of a DC motor should never exceed 2000rpm and t ...

A process-control system requires that the velocity of a DC motor should never exceed $2000\mathrm{rpm}$ and the temperature never goes above $150^{?}\mathrm{C}$. Design an alarm system similar to the shown below to trigger an alarm when the two conditions stated previously are met. You will use velocity and temperature transducers with transfer functions of $2.5?\mathrm{V}/\mathrm{rpm}$ and $3.1\mathrm{mV}/{}^{?}\mathrm{C}$ respectively. (5 Points) Fill out the blanks in the figure below. a) (5 Points) Write down the transfer functions for the velocity and the temperature transducers. b) (5 Points) Determine the corresponding voltage output $\left(V_o\right)$ from the two transducers for the conditions shown in the figure above. c) (5 Points) Determine the required reference voltages $\left(V_{\text{ref }}\right)$ for the two comparators.