You can take the density and viscosity of water as 1000 kg/m and 1.0 x 10 kg/m.s, respectively. Also, g=9.81 m/s = 32.2 ft/s. If other values are needed for the solutions of the problems, you must get them from the textbooks or the Internet. If there is a trial and error in the solution, it should be continued till the difference between the two successive answers reaches 5% of the value of the answer. All 5 problems should be solved. The total point is 44. Problem 1) Experiments have shown that the power input, P, to a centrifugal pump depends on the volume flow rate Q, impeller diameter D, rotational speed w, the density p, and viscosity , of the fluid. Using Buckingham theorem, write a relationship between the corresponding dimensionless terms in the system. Use w, p, and D as the repeating variables. (6 points)