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.) 5 dx Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.)
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.) 5 dx Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.)
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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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
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.)
5
Find the hydrostatic force (in N) against the gate. (Round your answer to the nearest whole number.)
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