A cylindrical container contains some ice and the container is rotating with constant angular velocity ω$$0$$ about its own geometrical axis. Now heat is supplied to the cylinder and the ice is completely melted. Then angular velocity of the container becomes ω. Then

Question

A cylindrical container contains some ice and the container is rotating with constant angular velocity ω$$0$$ about its own geometrical axis. Now heat is supplied to the cylinder and the ice is completely melted. Then angular velocity of the container becomes ω. Then

Infinity Learn · Accepted Answer

Due to the action of centrifugal force, water moves away from the axis of rotation, its free surface takes the form of paraboloid. As a result moment of inertia of the system increases. Since external torque is zero, its angular momentum (L) remains constant. ∴ Iω$$=I0$$ω$$0=L$$⇒ω$$=I0I$$ω$$0$$⇒ω<ω$$0$$

A cylindrical container contains some ice and the container is rotating with constant angular velocity $ω_{0}$ about its own geometrical axis. Now heat is supplied to the cylinder and the ice is completely melted. Then angular velocity of the container becomes $ω$ . Then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A cylindrical container contains some ice and the container is rotating with constant angular velocity ω0 about its own geometrical axis. Now heat is supplied to the cylinder and the ice is completely melted. Then angular velocity of the container becomes ω. Then

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

free study material

A cylindrical container contains some ice and the container is rotating with constant angular velocity $ω_{0}$ about its own geometrical axis. Now heat is supplied to the cylinder and the ice is completely melted. Then angular velocity of the container becomes $ω$ . Then