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Question: Answered & Verified by Expert
A tube of length $L$ is filled completely with an incompressible liquid of mass $M$ and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity $\omega$. The force exerted by the liquid at the other end is:
PhysicsMechanical Properties of FluidsNEETNEET 2006
Options:
  • A $\frac{M L^2 \omega^2}{2}$
  • B $\frac{M L \omega^2}{2}$
  • C $\frac{M L^2 \omega}{2}$
  • D $M L \omega^2$
Solution:
1816 Upvotes Verified Answer
The correct answer is: $\frac{M L \omega^2}{2}$
$\therefore$ Centrifugal force $=M \omega^2 r$
$$
\begin{aligned}
& =M\left(\frac{1}{2}\right) \omega^2 \\
& =\frac{M L \omega^2}{2} .
\end{aligned}
$$

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