Fluid Statics HELP?
April 25th, 2010
wigwag2333 asked:
An empty tank is 6 feet in diameter and 10 feet long. The tank is placed underground in a horizontal position and to a depth where the ground water level is 4 feet above the top of the tank. The buoyant force on the tank due to the ground water is MOST NEARLY ______ lbs.
An empty tank is 6 feet in diameter and 10 feet long. The tank is placed underground in a horizontal position and to a depth where the ground water level is 4 feet above the top of the tank. The buoyant force on the tank due to the ground water is MOST NEARLY ______ lbs.
A. 15,600
B. 16,600
C. 17,600
D. 18,600
Please proved a detailed explanation!
THank you I think I was overthinking the problem
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Posted in Education | Tags: Buoyant Force, Detailed Explanation, Diameter, Empty Tank, Ground Water Level, Horizontal Position
The buoyant force will be equal to the weight of the volume of water occupied (displaced) by the submerged tank. The height of water above the tank does not matter. The orientation of that tank does not matter with the buoyancy . Assuming that the tank has flat ends, calculate the volume of the tank in cu.ft. and multipy by the weight of a cu.ft. of water. That will be the upward buoyant force.
The downware forces will be the weight of the contents of the tank, the tank itself and the weight of the dirt above the tank profile.
A = ?D²/4 = (? 6² / 4) = 28.2 ft²
V = A H = 28.2 ft² x 10 ft = 282 ft³
W = 282 ft³ x 62.4 lb/ft³ = 17597 lb
The answer is C.