A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 10 m, the height h of air above the water level is 2 m, and the width w of the gate is 8 m. (i) Set up an integral that can be used to find the hydrostatic force (in N) against the gate. (Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1,000 kg/m3.) ∫ 0 ◻ ( 1,000)(9.8) (◻) d x Find the hydrostatic force (in N ) against the gate. (Round your answer to the nearest whole number.) N
