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

Practice Questions

Q1
In a fluid at rest, the pressure at a depth h is given by which equation?
  1. P = ρgh
  2. P = ρg/h
  3. P = ρg + h
  4. P = gh/ρ

Questions & Step-by-Step Solutions

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.
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