✔ 最佳答案
1.Let x be the angle with the horizontal,
Tsinx=mg....(1)
Tcosx=mrw^2...(2)
(1)/(2):tanx=g/rw^2
=>when w increase,x decrease=>the tube will tend to go to horizontal position when w is large.
2.
Actually, v is not the same but w.Angular velocity are the same!Also,m=density*volume,density is higher but volume can be lower,hence your explaination is not true enough.
In fact, you can image that it is a artificial gravity case.You should think why higher density object will sink under lower density object.(e.g.A stone sink under the water.)The reason is pressure difference.
When the tube rotates, a pressure gradient exists along the tube. The pressure difference provides the centripetal force.The pressure difference must increase with the distance from the axis of rotation.
Therefore, the pressure gradient produces a radial acceleration on the lighter suspension particles to move towards the open end of the tube.
The heavier particle will move outwards since the pressure difference cannot provide the large centripetal force.
