The dynamic behavior of a temperature sensor/transmitter can be modeled as a first-order transfer function (in deviation variables) that relates the measured valueTₘ to the actual temperature,T :T′ₘ(s)/T′(s)=1/(10s+1) Both Tₘ and T′ have units of∘C and the time constant has units of seconds. An alarm will sound when Tₘ exceeds 30∘C. If the process is initially at steady state, and thenTsuddenly changesfrom 25 to 35∘C at 1:10 PM, at what time will the alarm sound?

Q6/Draw the root locus for a control system of open loop transfer function shown below with unity feedback: G(S) = K (S² + 3S+2)(S² + 8S+12)

Part C In a central air-conditioning system, one chamber is inside the home and the other is outside. Which chamber is where, and why? Match the words in the left column to the appropriate blanks in the sentence on the right. Make the sentence is complete before submitting your answer. increases expansion chamber inside outside decreases compression chamber 1. The expansion chamber is the house and the compression chamber is and sur The air surrounding the is cooled and then distributed througout the house to cool it. If expansion occurred the cool air would be wasted. releases heat to the surroundings; it occurs outside so that the released heat can be dissipated by the outside air. Reset Help During expansion, sys

.19 A liquid storage facility can be modeled by where y is the liquid level (m) and u is an inlet flow rate (m*/s) Both are defined as deviations from the nominal steady-state values. Thus, y-u0 at the nominal steady state. Also, the initial values of all the derivatives are zero. (a) If u(t) suddenly changes from 0 to 1 m/s at 0, deter- mine the liquid level response, y(). (b) If the tank height is 2.5 m, will the tank overflow? (c) Based on your results for (b), what is the maximum flow change, umax, that can occur without the tank overflowing? (Hint: Consider the Principle of Superposition.)