Applied Hydraulics #$3\mathrm{.}3\mathrm{.}2.$

A jet of water exits a nozzle heading in the negative $x-$direction and strikes a flat plate at a $90$ angle. The water sprays through a $360$ arc $(y-$and $z-$direction$)$ exiting the plate $($Figure P$3\mathrm{.}3\mathrm{.}1$a$).$ If the nozzle has an $8-$in$.$ diameter and the flow has an $11\mathrm{.}3f\frac{t}{s}$ velocity, determine the force exerted on the plate by the water.