Q.

A tank with a square base of area 10m2 is divided by a vertical partition in the middle.  The bottom of the partition has a small hinged door of area 80m2. The tank is full of water in one compartment, and an acid (of relative density 1.7).  In the other, both to a height of 4.0m.  Compute necessary force to keep the door closed.

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a

174.76N

b

54.88 N

c

162.4N

d

28.88N

answer is B.

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Detailed Solution

Hydro static thrust on the door = Hydro static pressure x surface areaNet thrust on the door = (133.28 - 78.4)N = 54.88N
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A tank with a square base of area 10m2 is divided by a vertical partition in the middle.  The bottom of the partition has a small hinged door of area 80m2. The tank is full of water in one compartment, and an acid (of relative density 1.7).  In the other, both to a height of 4.0m.  Compute necessary force to keep the door closed.