Home
Class 12
PHYSICS
A tube filled with water and closed at b...

A tube filled with water and closed at both ends uniformly rotates in a horizontal plane about the `OO'` axis. The manometers `A` and `B` fixed in the tube at distances `r_(1)` and `r_(2)` from rotational axis indicate pressure `p_(1)` and `p_(2)` respectively. Determine the angular velocity `omega` of rotation of the tube.

A

`omega = sqrt[(2(P_2 - P_1))/(rho(r_2 ^2 - r_1 ^2))]`

B

`omega = sqrt[(2(P_2 + P_1))/(rho(r_2 ^2 - r_1 ^2))]`

C

`omega = sqrt[(2(P_2 + P_1))/(rho(r_2 ^2 + r_1 ^2))]`

D

`omega = sqrt[(2(P_2 - P_1))/(rho(r_2 ^2 + r_1 ^2))]`

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Similar Questions

Explore conceptually related problems

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is

A ring of mass m and radius r rotates about an axis passing through its centre and perpendicular to its plane with angular velocity omega . Its kinetic energy is

A thin uniform copper rod of length l and mass m rotates uniformly with an angular velocity omega in a horizontal plane about a vertical axis passing through one of its ends. Determine the tension in the rod as a function of the distance r from the rotation axis. Find the elongation of the rod.

A U -tube rotates with angular velocity omega about the vertical axis AB . What is the difference in fluid level h in terms of omega the radii r_(1) and r_(2) and the fluid density rho?

A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity omega . Determine the force exerted by the liquid at the other end.

A tube of length L is filled completely with an incompressible liquid of mass M and closed at both the ends. The tube is then rotated in a horizontal plane about one of its ends with a uniform angular velocity omega. The force exerted by the liquid at the other end is

Length of the horizontal arm of a uniform cross - section U - tube is l = 5 cm and both ends of the vertical arms are open to the surrounding pressure of "7700 N m"^(-2) . A liquid of density rho=10^(3)" kg m"^(-3) is poured into the tube such that the liquid just fills the horizontal part of the tube. Now, one of the open ends is sealed and the tube. Now, one of the open ends is sealed and the tube is then rotaed about a vertical axis passing through the other veritcal arm with angular velocity omega due to which the liquid rises up to half the length of the vertical arm. If length of each vertical arm is a = 6 cm. What is the value of omega("in rad s"^(-1)) ?

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with an angular velocity omega . Another disc of same dimensions but of mass (1)/(4) M is placed gently on the first disc co-axially. The angular velocity of the system is

A closed cylindrical tube containing some water (not filling the entire tube) lies in a horizontal plane. If the tube is rotated about a perpendicular bisector, the moment of inertia of water about the axis

A solid sphere of radius r and mass m rotates about an axis passing through its centre with angular velocity omega . Its K.E . Is