The drag, D $,$ on a sphere located in a pipe through which a fluid is flowing, is to be determined experimentally. Assume that the drag is a function of the sphere diameter d $,$ the pipe diameter D $,$ the fluid density $,$ and the fluid velocity V$.($a$)$ Which dimensionless parameters would you use for this problem? Please use Buckingham's theory to determine the dimensionless parameters. b$)$ Some experiments using water show that for $d=0\mathrm{.}2in,D=0\mathrm{.}5in,$ and $V=2f\frac{t}{s},$ the drag is $2{10}^{-}{?}^{3}lb.$ If possible, estimate the drag on a sphere located in a $2$ ft $-$diameter pipe through which water flows with a velocity of $10f\frac{t}{s}.$ The sphere diameter is such that geometric similarity is maintained. If it is not possible, explain why not.