What is the formula for the buoyant force on a rectangular box with dimensions of l, w, and h that is submerged in a liquid with density ?a. lwhb. glwhc. lwh
Added by Heather V.
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Step 1: Recall Archimedes' principle: the buoyant force equals the weight of the displaced fluid. Show more…
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Ankur S.
A cubical object has a side length of L = 1.28 ft and weighs W = 2360 lb in a vacuum. It is suspended in an open tank of liquid with a density of p = 2.12 slugs/ft^3 at a depth of L/2 from its top by a vertical thin wire that is normal to one face. A) Find the total downward force exerted by the liquid and the standard atmosphere on the top of the object. B) Find the total upward force on the bottom of the object. C) Find the tension in the wire. D) Calculate the buoyant force on the object using Archimedes' principle.
Frank D.
Archimedes' principle states that the buoyant force on an object that is (partially) submerged in water is equal to the weight of the water displaced by the object. Let W be the weight of the object. Let F = W - V * c1 * g, where V is the volume of the object and c1 is the density of water. If F > 0, then the object floats with a fraction of its volume submerged. If F < 0, then the object sinks. Consider a cubical box with edges measuring L. The box is completely submerged in water, with the water level at the top surface of the box. Find the force required to fully submerge the box. The buoyant force on the cubical box when completely submerged is equal to the weight of the water displaced.
Adi S.
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