1. Tardigrade
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  3. Physics
  4. A cylindrical vessel filled with water upto a height h is connected to a light inextensible string. The string is wound on a solid uniform disc of radius R. With what velocity will the first water particle be ejected from the vessel through a small hole made at a depth y=(3 /) 10) R, just after the disc is spined with an angular speed ω=√ g / R and released? Assume that mass of the disc is equal to the sum of mass of vessel plus water. Ignore friction anywhere and avoid slipping of the string with the disc.

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Q. A cylindrical vessel filled with water upto a height $h$ is connected to a light inextensible string. The string is wound on a solid uniform disc of radius $R$. With what velocity will the first water particle be ejected from the vessel through a small hole made at a depth $y=(3 /) 10) R$, just after the disc is spined with an angular speed $\omega=\sqrt{ g / R }$ and released? Assume that mass of the disc is equal to the sum of mass of vessel plus water. Ignore friction anywhere and avoid slipping of the string with the disc.Physics Question Image

Mechanical Properties of Fluids

Solution:

Correct answer is (d) $\sqrt{\frac{6}{5} gR }$