a horizontal tube AB of length 10m rotates at an angular velocity of 1rad/sec about a stationary vertical axis 00' passing through end A.the tube is filled with ideal fluid up-to 5m .end of tube A is open while end of B has a very small orifice. the velocity with which liquid comes out from hole is
Answers
a horizontal tube AB of length 10m rotates at an angular velocity of 1rad/sec about a stationary vertical axis 00' passing through end A.the tube is filled with ideal fluid up-to 5m .end of tube A is open while end of B has a very small orifice. the velocity with which liquid comes out from hole is
Step-by-step explanation:
On a frame that is rotating ( constant angular velocity) the Eulerian equation is
In the frame of rotating tube the liquid in the column is practically static due to the orifice being sufficiently small. Therefore the Eulerian Eq. in projection form along vector r (which is the position vector of an arbitrary liquid element of length dr relative to the rotation axis reduces to then applying Bemouirs theorem at the orifice for the points just inside and outside of the end B
