Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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The area of the top side of a piece of sheet metal is 9 square feet. The sheet
metal is submerged horizontally in 8 feet of water. Find the fluid force on the top side. Round your
answer to one decimal place.
a. | 4,492.8 lb | b. | 4,420.8 lb | c. | 4,348.8
lb | d. | 4,622.4 lb | e. | 4,838.4 lb |
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2.
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Find the buoyant force of a rectangular solid of the given dimensions submerged
in water so that the top side is parallel to the surface of the water. The buoyant force is the
difference between the fluid forces on the top and bottom sides of the solid. Round your answer to
two decimal places.
a. | 561.60 lb | b. | 748.80 lb | c. | 2,246.40
lb | d. | 249.60 lb | e. | 187.20 lb |
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3.
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Find the fluid force on the vertical side of the tank, where the dimensions are
given in feet. Assume that the tank is full of water. Note: The density of water is 62.4 lbs per
cubic foot.
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4.
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Find the fluid force on the vertical side of the tank, where the dimensions are
given in feet. Assume that the tank is full of water. Note: The density of water is 62.4 lbs per
cubic foot.
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5.
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Find the fluid force on the vertical side of the tank, where the dimensions are
given in feet. Assume that the tank is full of water. Note: The density of water is 62.4 lbs per
cubic foot.
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6.
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Find the fluid force of a square vertical plate submerged in water, where
meters and the weight-density of water is
9800 newtons per cubic meter.
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7.
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Find the fluid force of a triangular vertical plate submerged in water, where
the dimensions are given in meters and the weight-density of water is 9800
newtons per cubic meter.
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8.
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The figure is the vertical side of a form for poured concrete that weighs 140.7
pounds per cubic foot. Dimensions in the figure are in feet. Determine force on this part of the
concrete form
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9.
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The figure is the vertical side of a form for poured concrete that weighs 140.7
pounds per cubic foot. Dimensions in the figure are in feet. Determine force on this part of the
concrete form.
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10.
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A cylindrical gasoline tank is placed so that the axis of the cylinder is
horizontal. Find the fluid force on a circular end of the tank if the tank is half full, assuming
that the diameter is feet and the gasoline weighs 42 pounds per
cubic foot.
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11.
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A cylindrical gasoline tank is placed so that the axis of the cylinder is
horizontal. Find the fluid force on a circular end of the tank if the tank is full, assuming that the
diameter is feet and the gasoline weighs
pounds per cubic foot. (Evaluate one integral by a geometric formula and the other by observing that
the integrand is an odd function.) Round your answer to two decimal places.
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12.
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A circular plate of radius r feet is submerged vertically in a tank of
fluid that weighs w pounds per cubic foot. The center of the circle is
feet below the surface of the fluid. The fluid force on the surface of the plate is given by Find the fluid force on the circular plate as shown in the figure given feet and feet. Round your answer to one decimal
place.
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13.
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A rectangular plate of height h feet and base b feet is submerged
vertically in a tank of fluid that weighs w pounds per cubic foot. The center of the plate is
k feet below the surface of the fluid. The fluid force on the surface of the plate is given by
Find the fluid force on the rectangular plate
as shown in the figure given feet and feet.
Round your answer to one decimal place.
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14.
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A porthole on a vertical side of a submarine (submerged in seawater) is square . Find the fluid force on the porthole,
assuming that the center of the square is feet below the
surface.
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15.
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The vertical cross section of an irrigation canal is modeled by
where x is measured in feet and corresponds to the center of the canal. Use
the integration capabilities of a graphing utility to approximate the fluid force against a vertical
gate used to stop the flow of water if the water is feet deep. Round your
answer to three decimal places.
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