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A cylinder vessel of radius 10 cm contai...

A cylinder vessel of radius 10 cm containing a liquid is rotating about a vertical axis through the centre of circular base. The vessel is rotating with angular frequency 10 rad/s. Find the difference of the heights of liquid at centre of vessel and edge.

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5 cm
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Knowledge Check

  • A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is r and angular velocity of rotation is omega , then the difference in the heights of the liquid at the centre of the vessel and the edge is.

    A
    `(r omega)/(2 g)`
    B
    `(r^2 omega^2)/(2 g)`
    C
    `sqrt(2 g r omega)`
    D
    `(omega^2)/(2 g r^2)`

  • A liquid is kept in a cylindrical vessel which is being rotated about a vertical axis through the centre of the circular base. If the radius of the vessel is r and angular velocity of rotation is omega , then the difference in the heights of the liquid at the centre of the vessel and the edge is :

    A
    `(romega)/(2g)`
    B
    `(r^2omega^2)/(2g)`
    C
    `sqrt(2gromega)`
    D
    `(omega^2)/(2gr^2)`

  • A liquid kept in a cylindrical vessel of radius 0.3 m is rotated with a speed 2 r.p.s. The difference in the height of the liquid at the centre of the vessel and at it's sides it

    A
    0.01 m
    B
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    C
    0.04 m
    D
    0.8 m

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