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A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 12 m, the height h of air above the water level is 2 m, and the width w of the gate is 4 m. 12 m 4 m 2 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

A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 12 m, the height h of air above the water level is 2 m, and the width w of the gate is 4 m. 12 m 4 m 2 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 12 m, the height h of air above the water level is 2 m, and the width w of the gate is 4 m. 12 m 4 m 2 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
Transcribed Image Text:A vertical dam has a semicircular gate as shown in the figure. The total depth d of the figure is 12 m, the height h of air above the water level is 2 m, and the width w of the gate is 4 m. 12 m 4 m 2 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
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