Hi MHF. Is it true that if I have 1kg of water in a bucket, with an arm length of 1m swinging it...The bucket needs to travel at at least 3m/s in order for the water to stay in the bucket?

Calculations:
http://i.imgur.com/PkS8r8n.png

I will use the fact that this applies to the bucket at it's highest peak, and a direct angle of force is always higher than a diagonal angled force, as proof that this applies to any position of the swing.

Thank you.