Lecture
This lecture covers the derivation of equations for the pressure field in fluids, focusing on scenarios where density varies with altitude. It explores the ideal gas law, the distinction between gauge and absolute pressure, and the impact of temperature on density. The instructor explains the integration process to determine pressure changes in different fluid conditions, emphasizing the importance of assumptions in simplifying equations. Additionally, the lecture delves into pressure units, manometry, and the calculation of forces on submerged flat surfaces, leading to the derivation of the Archimedes principle.