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songoku
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Thank you very much for all the help and explanation erobz, kuruman, Orodruin, Lnewqban, haruspex, jbriggs444
Hydrostatic pressure at a point inside a water tank that is accelerating
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SUMMARY
The discussion centers on calculating hydrostatic pressure in a water tank subjected to horizontal acceleration. The formula used is P = ρgh, where ρ is the density of water (1000 kg/m³), g is the acceleration due to gravity (9.8 m/s²), and h is the vertical depth (10 cm). Participants clarify that the acceleration of the tank does not affect the hydrostatic pressure at a specific depth, as the pressure difference is determined solely by the vertical distance from the surface of the water to the point of interest. The apparent gravity vector combines the effects of gravitational acceleration and the tank's horizontal acceleration, but the pressure at a given depth remains P = ρg d.
PREREQUISITES- Understanding of hydrostatic pressure principles
- Familiarity with Newton's Second Law in non-inertial frames
- Knowledge of vector addition in physics
- Basic concepts of fluid mechanics
- Study the implications of apparent gravity in non-inertial reference frames
- Learn about pressure gradients in fluids and their calculations
- Explore the effects of acceleration on fluid behavior in containers
- Investigate similar problems involving fluid dynamics and acceleration
Students of physics, engineers working with fluid dynamics, and anyone interested in understanding the effects of acceleration on hydrostatic pressure in fluids.