Which way would water spin as it drains out of a sink in the northern hemisphere?
Some would argue that since a high pressure area is associated with downward motion in atmosphere and spins clockwise, water draining downward out of a sink would also spin clockwise in the northern hemisphere. Others would ague that as the blobs of water moves towards the hole, they would be deflected to the right of their motion which is to the right of the hole causing the water to rotate counterclockwise. The former belief is outright wrong while the later is only partly correct. The correct answer is that the water could spin either clockwise or counterclockwise. In fact, the water may not spin at all. To explain, I will have to describe the Carioles acceleration.
Assume that you are in a room that is rotating counterclockwise (same as the earth). In the room, you are standing by one of the walls and friend is standing by the opposite wall. You are holding a ball which you plan to pitch to your friend. At the time you pitch the ball, the wall you are standing by happens to be on the west side of the building. As the ball travels away from you, an observer standing on the ground will see the ball traveling in a straight line towards the east (the walls are transparent). However, the wall you are standing by is becoming the southwest wall and the wall your friend is standing by is becoming the northeast wall due to the rotation. Thus, you will observe the ball curving to your right and your friend will notice the ball curving to his left. Your friend will have reach or run to his left to catch the ball. Indeed, if the room is rotating fast enough, the ball will appear to travel in a clockwise circle back to you. An observer outside of the room will see that you were carried counterclockwise by the rotating room fast enough to enable you to catch the ball you had thrown.
Now take water in a sink that is draining out through a hole. The blobs of water that are moving towards the hole will be deflected to the right of their motion due to the rotation of the earth. However, the pressure gradient force will push the blobs back towards the drain hole. Thus, the blobs will tend to keep missing the hole to the right only to be pushed back to the left. Thus, one would believe that this would cause the water to begin rotating counterclockwise around the hole.
Problem: it takes 24hrs for the earth to complete one revolution. Therefore, the few minutes that it takes for the sink to empty are not enough time for the earth to rotate more than a tiny fraction of a degree. Thus, the deflection will be so small that is would be an insignificant factor in producing a rotation. The rate of angular deflection is equal to 2 * W * sin La, where * means product or multiplied by, W is rotation rate of earth which is 360 degrees per 24hrs, and La is the degrees latitude. Note that at latitude 30N it takes 6hrs for an eastward moving object to become a southward moving object if the Carioles acceleration were the only influence. So what does determine the rotation and direction of revolution of water draining out of a sink through a hole?
When water is in a sink, you most likely disturbed the water in some way. You may have washed your dishes, hands, or whatever. Thus, you may have induced an average slow rotation about the drain hole. When you pull the plug, conservation of angular momentum will cause the rotation rate of the blobs of water to increase as they approach the drain hole. To illustrate what I mean: fill your sink and stir the water clockwise. Let the water set for a few minutes; then pull the plug. Note that the water is rotating clockwise. Repeat the experiment, except stir the water counter clockwise. Note what happens. However, one might wonder what would happen if the water took several hours to drain.
If large sink with a small hole took several hours to drain, then there would be enough time for the Carioles acceleration to take effect. In that case, the water would spin counterclockwise about the hole. Therefore, the answer to the question is that the draining water can spin either clockwise or counterclockwise depending on which way the water in the sink is already spinning before the plug is pulled. However, if the sink takes long enough to drain, the rotation will eventually become counterclockwise.
Fredmet.