Atmospheric pressure is pressure coming from the top from the atmosphere(high elevation,high up in the sky) while hydrostastic pressure comes from liquid with pressure coming from the top from liquids on top(deep sea). So the difference between them is that you get atmospheric pressure from the sky while you get hydrostatic pressure in the sea. So you receive pressure from opposite ends.
Atmospheric pressure is the weight of air above a point, decreasing with altitude, while hydrostatic pressure is due to the weight of fluid above a certain depth, increasing with depth. Both are measured in Pascals but originate from different sources. Recognizing these differences is essential for understanding fluid mechanics and atmospheric sciences.
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