Home
Class 12
PHYSICS
A cylinder of radius R full of liquid of...

A cylinder of radius R full of liquid of density p is rotated about its axis at w rad/s. The increase in pressure at the centre of the cylinder will be

A

`(rho omega^(2) R^(2))/2`

B

`(rho omega^(2) R)/2`

C

`(rho^(2) omega R^(2))/2`

D

`(rho^(2) omega^(2) R^(2))/2`

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

An solid cylinder of mass 20 kg and radius 20 cm rotates about its axis with a angular speed 100 rad s^-1 . The angular momentum of the cylinder about its axis is: a) 40 J s b) 400 J s c) 20 J s d) 200 J s

An infinitely long solid cylinder of radius R has a uniform volume charge density rho . It has a spherical cavity of radius R//2 with its centre on the axis of cylinder, as shown in the figure. The magnitude of the electric field at the point P , which is at a distance 2 R form the axis of the cylinder, is given by the expression ( 23 r R)/( 16 k e_0) . The value of k is . .

The moment of inertia of a solid cylinder of mass M, length 2R and radius R about an axis passing through the centre of mass and perpendicular to the axis of the cylinder is I_(1) and about an axis passing through one end of the cylinder and perpendicular to the axis of cylinder is I_(2)

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.

A hollow cylinder of radius R and length R is cut into four equal parts from its axis. Each one is called quarter cylinder. If the quarter cylinder is just completely immersed in a liquid of density rho , find the horizontal thrust acting on the curved surface of the cylinder.

A cylinder of water, is rotating about its own axis with uniform angular velocity ω. The shape of free surface of water will be

A non-conducting thin disc of radius R charged uniformly over one side with surface density s rotates about its axis with an angular velocity omega . Find (a) the magnetic induction at the centre of the disc, (b) the magnetic moment of the disc.

A cylinder of radius R and height H is foam unknown height h . When is rotated at an unknown constant angular velocity omega , the base of the cylinder gets exposed when the liquid just starts spilling out, as shown in Fig. a. Find the height h of the liquid. b. Find the angular speed w of the cylinder.

Moment of inertia of a cylinder of mass M, length L and radius R about an axis passing through its centre and perpendicular to the axis of the cylinder is I = M ((R^2)/4 + (L^2)/12) . If such a cylinder is to be made for a given mass of a material, the ratio L//R for it to have minimum possible I is :

A ring of mass m and radius R is given a charge q. It is then rotated about its axis with angular velocity omega .Find (ii) Magnetic field produced at the centre of ring.