Explain the relationship between the depth in a fluid and the pressure at that depth.
1 answer:
Explanation:
The pressure exerted in the fluid at that depth is given by :
..............(1)
Where
is the density of the fluid
g is the acceleration due to gravity
h is the depth of the fluid
It is clear from equation (1) that the pressure exerted in the fluid is directly proportional to the depth in a fluid. As the depth increases, the pressure will also increase.
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Answer:
The Gauge pressure at 9 meters depth is
Explanation:
Gauge pressure is the difference between absolute pressure and some reference pressure, most commonly atmospheric pressure. The increment in pressure caused by a static fluid is given by:
where
is the density of the liquid, g is the accleration due to gravity and d is the depth.
Now, we see that is linearly proportional to d, and we can assume that
remains constant, because liquids are usually not compressible.
Given that the greater depth is simply 3 times the smaller depth:
at
of depth will also be three times the gauge pressure at
of depth.
We could also have calculated ny using:
and used this result to calculate the gauge pressure. These are both similar methods that yield the same result