QH8: Two liquid storage systems are shown in Fig. below. Each tank is 4 feet in diameter. For System I, the valve acts as a linear resistance with the flow-head relation q=8.33h, where q is in gal/min and h is in feet. For System II, variations in liquid level h do not affect exit flow rate q. Suppose that each system is initially at steady state with h=6ft and qi=50gal/min and that at time t=0 the inlet flow rate suddenly changes from 50 to 70gal/min. For each system, determine the following information: (a) The transfer function H(s)/Qj(s) where the primes denote deviation variables. (b) The transient response h(t). (c) The new steady-state levels. (d) If each tank is 8ft tall, which tank overflows first? when