A circular swimming pool at sea level has a flat bottom and a 6,00 m diameter. It is filled with

step 1 Question number 37 for part A, the absolute pressure is equal to the atmospheric pressure plus t

A circular swimming pool at sea level has a flat bottom and...

A circular swimming pool at sea level has a flat bottom and a $6,00 \mathrm{m}$ diameter. It is filled with water to a depth of $1.50 \mathrm{m}$. a. What is the absolute pressure at the bottom? b. Two people with a combined mass of $150 \mathrm{kg}$ float in the pool. What is the resulting increase in the average absolute pressure at the bottom?

A circular swimming pool at sea level has a flat bottom and a $6,00 \mathrm{m}$ diameter. It is filled with water to a depth of $1.50 \mathrm{m}$.
a. What is the absolute pressure at the bottom?
b. Two people with a combined mass of $150 \mathrm{kg}$ float in the pool. What is the resulting increase in the average absolute pressure at the bottom?

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Key Concepts

Hydrostatic Pressure

This concept explains the increase in pressure with depth in a fluid at rest. It involves understanding that the pressure at a specific depth in a liquid is determined by the density of the liquid, the gravitational acceleration, and the height of the liquid column above that point. The hydrostatic pressure is calculated using the formula P = ?gh, which is fundamental in fluid statics.

Absolute Pressure

Absolute pressure is the total pressure at a point, not just the pressure due to a fluid column. It includes both the atmospheric pressure acting on the surface and the additional pressure due to the weight of the fluid above. This concept is crucial when determining the actual pressure experienced at a depth in any fluid.

Force Distribution Over an Area

When additional weight is added to a fluid, such as people floating in a pool, it increases the overall pressure at the bottom by adding extra force. This extra force is distributed over the area of the pool’s bottom, and the resulting increase in pressure is determined by dividing the additional force (weight) by the area over which it is applied. Understanding this concept is critical to analyze how local changes in force affect pressure uniformly over a surface.

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