A $2\mathrm{.}3-$in$.-$diameter sphere weighing $0\mathrm{.}15$ lb is suspended by the jet of air shown in the figure below and in the Video. The drag coefficient for the sphere is $0\mathrm{.}5.$ Determine the reading on the pressure gage if friction and gravity effects can be neglected for the flow between the pressure gage and the nozzle exit.

Assume $A_1=0\mathrm{.}5f{t}^2,A_2=0\mathrm{.}3f{t}^2.$

$l\frac{b}{f}{t}^2$