A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 42 m, the height h of air above the water level is 6 m, and the width w of the gate is 10 m. 42 m 10 m 6 m (1,000) (9.8) 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. Recall that the weight density of water is 1,000 kg/m³.) dx Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.) N

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
Publisher: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 42 m, the height h of air above the water level is 6 m, and the width w of the
gate is 10 m.
42 m
10 m
} 6m
(1,000) (9.8)
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. Recall that the weight density of
water is 1,000 kg/m³.)
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 42 m, the height h of air above the water level is 6 m, and the width w of the gate is 10 m. 42 m 10 m } 6m (1,000) (9.8) 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. Recall that the weight density of water is 1,000 kg/m³.) dx Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.) N
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