Problem #$3$:

Data from tests of a Peerless end suction Type $1430$ pump operated at $1750$ rpm with a $14\mathrm{.}0$ in $.$ diameter impeller are given in the table below. For water as the fluid, you are asked to do the following:

$3\mathrm{.}1)$ Calculate the pump efficiencies for $5$ given flow rates.

$3\mathrm{.}2)$ Plot the performance curves for this pump including pump head, pump efficiency and pump brake horse power versus the flow rate.

$3\mathrm{.}3)$ Curve$-$fit your data with a $2^{rd}-$order polynomial function.

$3\mathrm{.}4)$ Locate the best efficiency point, $Q^{**},H_p^{**},{}^{**},$ and $BH{P}^{**}.$

$3\mathrm{.}5)$ Calculate the dimensionless coefficients at the best efficiency point, $C_Q^{**},C_H^{**},{}^{**},$ and $C_P^{**}.$

$\backslash$table$[[$Flow rate, Q$($gpm$),270,420,610,720,1000],[$Total head, Hp $($ft$),198,195,178,165,123],[$Brake Horse power, BHP $($hp$),25,30,35,40,45]]$