Consider a 2-m deep swimming pool. The pressure difference...

Consider a $2-\mathrm{m}$ deep swimming pool. The pressure difference between the top and bottom of the pool is
$(a) 12.0 \mathrm{kPa}$
$(b) 19.6 \mathrm{kPa}$
$(c) 38.1 \mathrm{kPa}$
$(d) 50.8 \mathrm{kPa}$
$(e) 200 \mathrm{kPa}$

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Hydrostatic Pressure

Hydrostatic pressure is the pressure exerted by a fluid at equilibrium due to the force of gravity. It increases linearly with depth because the weight of the fluid above exerts pressure on the layers below. This concept is key in understanding how pressure changes within a fluid medium such as water in a swimming pool.

Pressure Difference Equation

The pressure difference in a fluid column is calculated using the equation ?P = ?g?h, where ? is the density of the fluid, g is the acceleration due to gravity, and ?h is the vertical distance or depth change. This equation directly explains how changing depth in a fluid leads to a corresponding difference in pressure.

Fluid Density and Gravity

The density of the fluid and the gravitational acceleration are fundamental factors in determining hydrostatic pressure. Fluid density (commonly 1000 kg/m³ for water) combined with the constant gravitational pull (approximately 9.8 m/s² on Earth) directly influences the magnitude of the pressure increase per unit depth in a fluid.

Transcript

Please give Ace some feedback