Problem No$.2||$ A centrifugal pump is used to pump $0\mathrm{.}01\frac{m^3}{s}$ of water $($at $40C).$ The water enters the

impeller through a $0\mathrm{.}03m$ diameter inlet. The inlet velocity is uniform. The impeller outlet diameter is

$0\mathrm{.}11m$ Flow leaves the impeller at $3\frac{m}{s}$ relative to the blades, which is radial at the exit. The impeller

speed $360\frac{\text{r}\text{a}\text{d}}{s}.$ For the following angle of the fluid absolute "inflow" velocity $()$:$0,0\mathrm{.}1,10,45,$ and

$90$; determine: $1)$ the width of the impeller, $2)$ the shaft torque, $3)$ the shaft power, $4)$ the specific shaft

power, $5)$ the ideal head rise. $6)$ Is the required shaft torque increases, decreases, or stay constant with the

increasing values of $$; $(7)$ according to your answer of part $(6),$ is it a good or bad situation $($in terms of

optimal operation of the centrifugal pump? And why?

Notice: please, tabulate your answer to this question for part $1-5.$