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Q.

A tube of length 50cm is filled completely with an incompressible liquid of mass 250g and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity xFrads1.  If F be the exerted by the liquid at the other end then the value of x will be_______

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answer is 4.

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Detailed Solution

Question Image

dF=dmω2x

F=0L(mL)xω2x

F=Mω2L2

ω=2FmL

ω=2mLF=4F

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A tube of length 50cm is filled completely with an incompressible liquid of mass 250g and closed at both ends. The tube is then rotated in horizontal plane about one of its ends with a uniform angular velocity xF rad s−1.  If F be the exerted by the liquid at the other end then the value of x will be_______