A simple rainwater collector used for home garden use is show below. It is comprised of an open-air water tank, a "compliant" or flexible tube, and a valve. To avoid overflow, the valve is set to open when the water in the tank reaches a height of 2m. The valve rests on the ground 3m beneath the tank's base. The outlet of the valve is open to atmosphere. c) Assuming inviscid flow, estimate the average velocity of the water flowing through the tube at the moment when the valve automatically opens. Assume that the tank is very large compared to the tube, so that the velocity of the water at the top of the tank is zero. Assume that the valve provides no resistance to flow when opened.

Determine the % increase in Flowrate, Net pumping head and Pump power based on the following conditions below: a) Increasing the impeller speed by 30% b) Increasing the impeller diameter by 20% c) Compute the same if the two conditions above will prevail in one condition Please show complete solution.