A surge tank in Figure is designed with a slotted weir so that the outflow rate, w,

Question:

A surge tank in Figure is designed with a slotted weir so that the outflow rate, w, is proportional to the liquid level to the 1.5 power that is, w = Rh1.5 where R is a constant. If a single stream enters the tank with flow rate w, find the transfer function W(s)|W|(s). Identify the gain and all time constants. Verify units. The cross-sectional area of (he tank is A. Density ? is constant.