(Solved): A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 1 ...

A vertical dam has a semicircular gate as shown in the figure. The total depth $d$ of the figure is $14\mathrm{m}$, the height $h$ of air above the water level is $2\mathrm{m}$, and the width $w$ of the gate is $4\mathrm{m}$. Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number. Use $9.8\mathrm{m}/{\mathrm{s}}^2$ for the acceleration due to gravity. Recall that the weight density of water is $1,000\mathrm{kg}/{\mathrm{m}}^3$.) (i) $\mathrm{N}$