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Fluid mechanics and hydraulics miscellaneous

Fluid Mechanics and Hydraulics

  1. 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 dented as W1, W2 and W3 respectively. Also, let the force of water on the base of the bucket be denoted as F1, F2 and F3 respectively. The option giving an accurate description of the system physics is
    1. W2 = W1 = W3 and F2 > F1 > F3
    2. W2 > W1 > W3 and F2 > F1 > F3
    3. W2 = W1 = W3 and F1 = F2 = F3
    4. W2 > W1 > W3 and F1 = F2 = F3
Correct Option: D


The buckets have same height and base area.
From the figure it is clear that,
W2 > W1 > W3
Force at base = γw⋅h × A
Since, γw,h and A is same for all buckets,
F1 = F2 = F3



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