![]() ![]() A force of 5 × 10 5 N is applied an the top surface of water using a piston. ![]() There is a hole on the wall of cylinder at a height of 5m from the bottom. The top surface of water is at 15 m from the bottom of the cylinder. The speed of efflux from the hole will be: (Assume that there is no atmosphere above the piston)(given atmospheric pressure PA = 1.01 × 105Pa, density of water ρw 1000 kg/m3and gravitational acceleration g = 10 m/s2 )Ĭonsider a cylindrical tank of radius 1m is filled with water. A force of 5 × 105 N is applied an the top surface of water using a piston. There is a hole on the wall of cylinder at a height of 5m from the bottom. A rectangular freshwater fish tank with base 2 x 4 ft and height 2ft (interior dimensions) is filled to within 2 in. The outside pressure is considered negligible ( 0 0) A weightless piston, perfectly sealed, closes it off: A force F F acts on the piston, which has cross-section A A. The top surface of water is at 15 m from the bottom of the cylinder. A cylinder contains a fluid (gas or liquid, here of zero density ). (iv) velocity of the top most layer of the liquid column and also the velocity of. Note that the volume of the cylinder (and that of the fluid it displaces) equals (h 2 h 1)A. (ii) horizontal force F to keep the cylinder in static equilibrium. You may assume that the buoyant force is F 2 F 1 and that the ends of the cylinder have equal areas A. Physics Consider a cylindrical tank of radius 1m is filled with water. Referring to Figure 14.20, prove that the buoyant force on the cylinder is equal to the weight of the fluid displaced (Archimedes’ principle). ![]()
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