1.5. Given: a system with the transfer function Y(s)/X(s) (T1s + 1)/(T2s +1). Find Y(t) if X(t) is a unit-step function. If T1/T2 =5, sketch Y(t) versus t/T2. Show the numerical values of minimum, maximum, and ultimate values that may occur during the transient. SĒP:

(b) (c) Page 5 of 6 Calculate the gain, in percent transmitter output (%TO) per variable unit (specify units), write the transfer function, and draw the block diagram for a temperature transmitter with a range of 100 to 150°C and time constant of 1.2 minutes. Determine the transfer function relating Y(s) to X1(s) and X2(s) from the block diagram shown in Figure Q6 on page 6. Module code: CAPE203001 O X1(s) Toboz G3 G₂ G₁ X₂(s) G 700 Y2 Figure Q6 Turn the page over Y(s)

.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.)

Please solve all with all steps!!