In a fluid at rest, the pressure at a depth h is given by which equation?

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Question: In a fluid at rest, the pressure at a depth h is given by which equation?

Options:

Correct Answer: P = ρgh

Solution:

The pressure at a depth h in a fluid is given by P = ρgh, where ρ is the fluid density and g is the acceleration due to gravity.

In a fluid at rest, the pressure at a depth h is given by which equation?

In a fluid at rest, the pressure at a depth h is given by which equation?

Step 1: Understand that pressure in a fluid increases with depth.
Step 2: Identify the variables involved: P (pressure), ρ (density of the fluid), g (acceleration due to gravity), and h (depth).
Step 3: Recognize that the formula for pressure at a depth h is P = ρgh.
Step 4: Remember that ρ is the density of the fluid, which tells you how heavy the fluid is for a given volume.
Step 5: Know that g is approximately 9.81 m/s² on Earth, which is the force of gravity.
Step 6: Realize that h is how deep you are in the fluid, measured from the surface down.

Hydrostatic Pressure – The pressure exerted by a fluid at rest due to the weight of the fluid above it.
Fluid Density – The mass per unit volume of the fluid, which affects the pressure at a given depth.
Acceleration due to Gravity – The constant acceleration experienced by an object due to Earth's gravitational pull, influencing fluid pressure.