The radius of the impeller of a centrifugal pump at the inlet is6 cm and at the outlet is 10.5 cm. The blade angles β1 and β2 arerespectively 33o and 21o respectively. The width of the impeller isuniform and 4.75 cm. The impeller rotates at 1200 rpm and pumpswater (See Figure 1). Assuming radial entry, (a) the flow ratethrough the pump (b) the theoretical head (c) the power requiredassuming an efficiency of 75%. (d) the theoretical pump curve (theH-Q equation) (e) If the pump diameter were increased by 10% andthe speed dropped by 10%, what would be the new flow andtheoretical head?