A ship has portholes to provide light and ventilation to lower decks. When there are large waves on the freshwater lake, the portholes can be submerged by up to 12 feet of water, measured straight down from the surface to the center of the 15 inch diameter porthole. The position of the portholes in calm water is sketched below at left. The position with large waves is shown below at right. Assume the listing angle is 0= 15°. Portholes are shown with the following symbol: 0

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Problem 3: Ship Portholes
A ship has portholes to provide light and ventilation to lower
decks. When there are large waves on the freshwater lake, the
portholes can be submerged by up to 12 feet of water, measured
straight down from the surface to the center of the 15 inch
diameter porthole.
The position of the portholes in calm water is sketched below at
left. The position with large waves is shown below at right.
Assume the listing angle is 0 = 15°.
Portholes are shown with the following symbol: 0
G
Figure 3.23 in Finnemore and Franzini (2002)
W
B
Part A
What is the maximum magnitude of the hydrostatic force on the porthole [lb]?
Part B
Where is the center of pressure? Express your answer in inches below the porthole center,
measured in the plane of the porthole, not vertically.
Part C
Is the maximum force on the porthole more or less than that on an aircraft window,
diameter 12 inches, while cruising at 40,000 feet? Assume the cabin is pressurized to 11.0 psi.
Transcribed Image Text:Problem 3: Ship Portholes A ship has portholes to provide light and ventilation to lower decks. When there are large waves on the freshwater lake, the portholes can be submerged by up to 12 feet of water, measured straight down from the surface to the center of the 15 inch diameter porthole. The position of the portholes in calm water is sketched below at left. The position with large waves is shown below at right. Assume the listing angle is 0 = 15°. Portholes are shown with the following symbol: 0 G Figure 3.23 in Finnemore and Franzini (2002) W B Part A What is the maximum magnitude of the hydrostatic force on the porthole [lb]? Part B Where is the center of pressure? Express your answer in inches below the porthole center, measured in the plane of the porthole, not vertically. Part C Is the maximum force on the porthole more or less than that on an aircraft window, diameter 12 inches, while cruising at 40,000 feet? Assume the cabin is pressurized to 11.0 psi.
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