GATE CE 2014 Set 1 — Question 54
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Water Resources Engineering → Fluid Properties & Statics → Hydrostatic Forces
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Question
Three rigid buckets, shown as in the figures (1), (2) and (3), are of identical heights and base areas. Further, assume that each of these buckets have negligible mass and are full of water. The weights of water in these buckets are denoted as , , and respectively. Also, let the force of water on the base of the bucket be denoted as , , and respectively. The option giving an accurate description of the system physics is
Correct answer
(D) W₂ W₁ W₃ and F₁ = F₂ = F₃
Solution
1.Weight (): Weight is proportional to the volume of water. From the shapes, Volume (2) > Volume (1) > Volume (3). Thus, .
2.Force on base (): The pressure at the base of each bucket is . Since the height is the same for all, the pressure is identical. The force on the base is . Since both and the base area are identical for all three buckets, . This is known as the hydrostatic paradox.
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