A tank used to store liquid water operates at steady state with inlet and exit flow rates wi = w = 20 kg/minute. The exit flow rate w is related to the height of water in the tank (h) by w = R h0.625, where R is constant equal to 12.968 kg/min/m0.625 The tank has a cross sectional area of 1 m2 , and the density of water is 1000 kg/m3 . Obtain a linearized dynamic model relating the height (h) to the inlet flow rate wi, and the transfer function H(s)/Wi(s). Give your answers for the steady state gain (K) and time constant (). Steady state gain (K)= ____________, time constant () = ______________