Question

An upright bucket of water is spun at frequency ω around the vertical axis. If the water is at rest with respect to the bucket, find the shape of the water’s surface.

Answer 1

1) The string acts as the centripetal force that pulls the bucket and water into the center and keeps them from following their paths of inertia, giving the illusion that centrifugal force is pulling the water away from the center.

2)if the rotation is so fast that the bucket is accelerating downward faster than the acceleration of gravity, then the bucket is forcing the water to fall faster than gravity and since the sides and "bottom" of the bucket are pushing the water to accelerate so the water does not escape the containment of the bucket even WHEN BUCKET IS AT TOPMOST POINT.

FINALLY THERE IS SURFACE TENSION OF WATER WHICH HOLDS BACK THE WATER MOLECULE AS SHOWN