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In this section of the video, the concept of pressure in fluid mechanics is being explained, where pressure is defined as the force per unit area. The video details the units of area and pressure, including the pascal, and explains how to calculate hydrostatic pressure using the formula: pressure equals density times gravity times height. Additionally, the video explores absolute and gauge pressure, the latter of which is the difference between absolute pressure and atmospheric pressure. The hydrostatic pressure is affected by the density and depth of the fluid, which is further explored in the following segment on the principles of Pascal and Archimedes in fluid mechanics.

**00:00:00**In this section, the video introduces the fundamental principles for studying fluid mechanics, which include the statics and dynamics of fluids. In the statics of fluids, it is important to understand concepts such as density, hydrostatic pressure, and absolute and gauge pressure, as well as Pascal's and Archimedes' principles. In the dynamics of fluids, principles of continuity and Bernoulli's equation are critical. The video delves into the concept of density, how it can be calculated, and how a substance's density can be impacted by its state. Additionally, the video explores the concept of relative density, and how it is used to determine a substance's density. The video also explains the different types of pressure, including hydrostatic pressure, absolute pressure, and gauge pressure, as well as what is meant by manometric pressure.**00:05:00**In this section of the video, the concept of pressure in fluid mechanics is being explained. The video begins by defining the unit of area in the system, which is the newton over square meters or pascal, which is the unit of pressure. The weight of a substance, called weight specific, is also defined as the weight of the substance divided by its volume. The video then explains that the pressure in a point of a water-based container can be calculated using the hydrostatic pressure formula, which is the density of water multiplied by the gravity multiplied by the height or depth of the point. Finally, the video ends by explaining the concepts of absolute pressure and gauge pressure.**00:10:00**In this section, the video explains how to calculate hydrostatic pressure using the formula: pressure equals density times gravity times height. The pressure at any point in a container will be equal to the pressure at the top of the container plus the density times gravity times the height of that point. If the container is open to the atmosphere, the pressure at the surface of the water will be atmospheric pressure. The difference between absolute pressure and atmospheric pressure is known as gauge pressure. The hydrostatic pressure depends on the depth of the fluid and the density of the fluid affects the hydrostatic pressure in the same way. The video invites viewers to watch the next segment to learn about the principles of Pascal and Archimedes in fluid mechanics.

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