Physics
Fluid-Mechanics
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Question

A spherical tank of radius R is half filled with oil of density d. If the tank is given a horizontal. Acceleration of a, maximum pressure on the tank is (due to liquid alone or pressure above liquid =0)

  1. fraction numerator 2 text Ragd end text over denominator square root of g squared minus a squared end root end fraction
  2. fraction numerator 2 R a g d over denominator square root of g squared plus a squared end root end fraction
  3. fraction numerator text Ragd end text over denominator square root of g squared plus A squared end root end fraction
  4. fraction numerator text Ragd end text over denominator square root of g squared minus a squared end root end fraction

The correct answer is: fraction numerator 2 R a g d over denominator square root of g squared plus a squared end root end fraction


    table attributes columnalign left columnspacing 1em rowspacing 4 pt end attributes row cell tan invisible function application theta equals a over g text and end text sin invisible function application theta equals fraction numerator h over denominator 2 R end fraction not stretchy rightwards double arrow h equals 2 R sin invisible function application theta equals fraction numerator 2 R a over denominator square root of g squared plus h squared end root end fraction end cell row cell d g h equals fraction numerator 2 R a d g over denominator square root of g squared plus a squared end root end fraction end cell end table

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