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an open cubical tank was initally filled with water,if tank was accelerated on the horizantal plank along one of the side its1/3rd of volume spilled out.what is the acc of tank

an open cubical tank was initally filled with water,if tank was accelerated on the horizantal plank along one of the side its1/3rd of volume spilled out.what is the acc of tank

Grade:12

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

Dear Jauneet Singh,

Ans:-The acc is a say. Then the pseudo force in the opposite direction is ma. where mis the mass of the fluid. Now due to this force V/3 amount of fluid has gone out. Thus from the given condition it is clear that the fluid layer in the tank is at a depth 1/3 rd of the total height when the tank is at rest. Now when it is moving with an acc a then it is not so. At that time the fluid will be in a triangular shape and the lowermost part of the fluid will be in the direction of the acc . Now from the simple geometry we can find that the bottom part will be at a height 2H/3 from the top. The angle between a and g(gravitational acc) is 90 degree let say θ be the angle of the hypotenouse with the horizental direction.. Then tanθ=a/g==2/3

Hence a=2g/3

N.B:- Geometrically tanθ should be the reverse but you can realize that is is happening as their effect are reverse i.e the effect of a acts vertically whereas effect of g hirizentally.

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Regards,

Askiitians Experts

Soumyajit IIT Kharagpur

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