The liquid level in the second tank for a noninteracting tank system is controlled by manipulating the inlet flow rate of the first tank. Fi hi R1 h2 R2 All of the resistances are linear and R=0.05, R2=0.1 min.m/m; the cross-sectional areas of the tanks are constant and A1-5, A2=3. a. Derive the transfer function between inlet volumetric flow rate and height of liquid level in second tank, find natural period and damping factor. b. The transfer function of measuring device with its transmitter and the transfer function control valve are 1, show the effect of P controller by considering i) order of response, ii) speed of response, iii) ultimate value iv) offset for the unit step change is set point.