freeflight1

The Vertical cylinder vase of radius r is mounted on its center on a
rotator. At rest, it is filled with liquid to a depth of height d. The
vase is then rotated about its vertical axis with angular speed w.
The y axis lies along the rotational axis and the origin of coordinates
is at the base of the vase.

A) Derive the equation that gives the intersection of the liquid
surface with the x-y plane, when dynamic equilibrium is attained at some
w in terms of d,r, and w



B) Find the maximum w for which the bottom of the vase will still be
completely covered with liquid assuming that the bottom is perfectly
flat and that the vase is tall enough to no lose any liquid.

We are learning about oscillation and waves right now i really have no idea where to start
i drew this graph I think its right Please help me I dont know where to
start. Please help this is going to be on our exam similer type problem

A chocolate ice cream cone is filled with melted chocolate ice cream of
density 1.20g/cm^3 The cone is 10 cm long and has diameter of 6cm at the
larger top end No a small hole of diameter 1 mm is produced at the
narrow bottom part and the ice cream starts exiting out the bottom hole.
Ignoring the viscosity of the melted ice cream, find the amount of time
it takes the ice cream to run out through the bottom hole completely.
Assume the velocity of the chocolate ice cream to be zero at the larger
top end.

Please help i dont know where to begin some one told me its just sqrt(2gh) but i dont know where that formula comes a derivation would be nice to know my book dosnt seem to have this equation at all