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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?
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Practice Questions
1 question
Q1
In a fluid at rest, the pressure at a depth h is given by which equation?
P = ρgh
P = ρg/h
P = ρg + h
P = gh/ρ
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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.
Questions & Step-by-step Solutions
1 item
Q
Q: In a fluid at rest, the pressure at a depth h is given by which equation?
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.
Steps: 6
Show Steps
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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