A system pumps water from a lower reservoir to a higher reservoir. The pipe diameter is 0.245 m and the pipe lengths are L1= 5 m, L2= 3 m, L3= 3 m, and L4= 0.3 m. The impeller of the centrifugal pump has a diameter of 0.5 m and operates at 900 rpm. The uniform blade height is 56 mm. The water enters the pump parallel to the pump shaft with a flow rate of 0.19 m³/s. Take viscosity as 0.00112 N s/m².

a) What would be the shaft power required to turn the impeller if the exit blade angle is 50 degrees.

b) Find the major losses in the system. Take the pipe Darcy friction factor as 0.045.

c) Find the minor losses in the system considering the 90 degrees elbows losses and the exit/entrance losses of the tanks. Consider that the exit of tank 1 is sharp-edged and take the loss coeffcient of the entrance of tank 2 as 1.

d) Determine the difference in height between the water surfaces in the two tanks assuming that there are no losses within the pump.

Work to 4 significant digits. Enter all values using base units or their combinations, i.e. m, m/s, Pa, N. Do not use multiples as e.g. mm, kPa.

You can use values with exponents, such as 0.12e3.