A centrifugal pump is being tested in a laboratory. The inside and outside radii of the impellers are 7 .5 cm and 15.0 cm, respectively. The width of the impeller vanes (or flow opening height) varies from 5.0 cm at intake to 3.0 cm at outflow. If the measured flow rate is 55 liters/ sec, what is the pump speed (in rpm) and the power input to the pump (in kW)? Assume a shockless entry (a; = 90°), an exit flow angle of 22.4 °, and {3; = 150°.