Question 153: Work, Energy and Power & Circular Motion

Question

A tube of length 1 m is filled completely with an ideal liquid of mass 2 M , and closed at both ends. The tube is rotated uniformly in horizontal plane about one of its ends. If the force exerted by the liquid at the other end is F then angular velocity of the tube is $\sqrt{\frac{\mathrm{F}}{\alpha \mathrm{M}}}$ in SI unit. The value of $\alpha$ is _________.

Accepted Answer

$$\begin{aligned}
& \mathrm{F}=2 \mathrm{M} \omega^2 \frac{\ell}{2}=\mathrm{Mw}^2 \ell \
& \omega=\sqrt{\frac{\mathrm{F}}{\mathrm{M} \ell}}
\end{aligned}$$

Work, Energy and Power & Circular Motion

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