A pail of water can be whirled in a vertical path such that no water is spilled. Why does the water stay in the pail, even when the pail is above your head?

 So the water does not fall because its tendency is to go straight and the force to make the curve.

Explanation:

When the water is spinning by Newton's first law the water has to follow in a straight line to divert it from this straight line a force must be applied on the water by the walls and the bottom of the bucket so that the water takes the curved path.

 So the water does not fall because its tendency is to go straight and the force to make the curve.

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