Example $4$

Water enters the horizontal circular cross$-$sectional sudden contraction nozzle, as illustrated in the figure, at section $(1)$ with a uniformly distributed velocity of $7\mathrm{.}5\frac{m}{s}$ and pressure $500$ kPa $.$ The water exits from the nozzle into the atmosphere at section $(2)$ where the uniformly distributed velocity is $30\frac{m}{s}.$

Determine the axial component of the anchoring force required to hold the contraction in place.