Q11/ Two liquid storage systems are shown in Fig. E5.9. Each tank is 4 feet in diameter. For System I, the valve acts as a linear resistance with the flow-head relation q = 8.33 h, where q is in...

Extracted text: Q11/ Two liquid storage systems are shown in Fig. E5.9. Each tank is 4 feet in diameter. For System I, the valve acts as a linear resistance with the flow-head relation q = 8.33 h, 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 q = 50 gal/min and that at time t = 0 the inlet flow rate suddenly changes from 50 to 70 gal/min. For each system, determine the following information: (a) The transfer function H'(s)/Q'(s) where the primes denote deviation variables. (b) The transient response h(t). (c) The new steady-state levels. (d) If each tank is 8 ft tall, which tank overflows first? When? h h System I System II Figure E5.9