Does a high tide bring stronger winds? How?
Is the atmosphere (air and clouds) also subjected to the same moon’s gravitational influence as the waters of the sea?
Two short answers: no, and yes.
That is, wind strength in the way we usually think of it is not affected meaningfully by tides--so the answer to your headline question is "No."
But tidal forces *do* act on everything that has mass, including the atmosphere. So the answer to your second question is "Yes."
That may seem a bit contradictory, but it has to do with the relative strength of factors affecting the wind: wind is driven by pressure gradients in the atmosphere and tidal effects are less than 1% of pressure differences that arise through other means. So wind strength is pretty independent of atmospheric tides.
http://www.scientificamerican.com/artic … ve-a-tida/
Short answer is no, but the why is interestingly complicated. I'll try to give it a shot though. Because the strength of a gravitational force is affected by the mass of an object, the small size of atmospheric particles would have little influence. The oceans are influenced by the high mass of the Earth near the surface, but air particles do not move along the surface, because friction decelerates wind. A good analogy I thought of is dust floating around a room in a building. Another effect to consider would be the height of the wind, considering the fact that the gravitational force decreases with altitude.
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