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 4 m. 10 m 2 m water level 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. Assume that the weight density of this water is 1,000 kg/m³.) x (1,000)(9.8) dx x Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.)

Elements Of Electromagnetics
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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 4 m.
2 m
10 m
water level
4 m
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. Assume that the weight density of this water is 1,000 kg/m³.)
X (1,000)(9.8)
dx
Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.)
N
Transcribed Image Text: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 4 m. 2 m 10 m water level 4 m 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. Assume that the weight density of this water is 1,000 kg/m³.) X (1,000)(9.8) dx Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.) N
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