The flow enters from the $0\mathrm{.}5-$m$-$diameter side pipe at the rate of $1\frac{m^3}{s}.$ Determine the force on the circular strut that extends across the duct. The upstream and downstream pressures are $400k\frac{N}{m^2}$ and $300k\frac{N}{m^2},$ respectively, and the average velocity at the upstream section is $4\frac{m}{s}.$ There is no flow in the side pipe $($as per Prob. $2-17).$ Further, duct friction may be ignored.

$1\mathrm{.}5m1\mathrm{.}5m$ square duct

Figure P$2-16$