MINI PROJECT 1. Given a water tank as shown in Figure 1, show that the transfer function of the system is: Qi(s) C=8 H(s) H(s) Q(s) 0.5 = 1+4s Q(s) input flow rate R R=0.5 Qo(s) output flow rate Ha(s) actual water level valve resistance C = tank capacitance Qo(s) Figure 1 2. If the input Qi(s) into the water tank is supplied through a water pump as shown in Figure 2, show that the transfer function of this cascaded system is: 5 (s+0.25)(s+10) s + 25ws+w H(s) V(s) Determine the values of K, a, and (Note: transfer function of the water pump is given as- Q(s) 4 where V(s) is electric current). V(s) 1+0.1s V(s) Water Pump Qi(s) C=8 Ha(s) Figure 2 R=0.5 Q.($)