Question

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

Answer 1

$Fc=\frac{mω^2l}{2}$
$\frac{mω^2l}{2}=F$
$ω=\sqrt{\frac{2F}{\frac{1}{2}×\frac{1}{4}}}$
ω=√16F
ω=4√F
Given that uniform angular velocity x√F rad s−1.
On comparing, x = 4
So, the answer is 4.