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What hydrostatic pressure does a water column of 15 m of water produce if the density of water is 1g/cubic cm?

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Answer to a math question What hydrostatic pressure does a water column of 15 m of water produce if the density of water is 1g/cubic cm?

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Cristian
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119 Answers
To find the hydrostatic pressure produced by a water column, we can use the formula:

P = \rho \cdot g \cdot h

Where:
P is the hydrostatic pressure
ρ is the density of water
g is the acceleration due to gravity
h is the height of the water column

Given:
ρ = 1 g/cm³
h = 15 m

We need to convert the density of water from grams per cubic centimeter to kilograms per cubic meter.

1 \, \text{g/cm}³ = 1000 \, \text{kg/m}³

Now, we can calculate the hydrostatic pressure:

P=(1\,\text{g/cm}³)\cdot(9.81\,\text{m/s^^b2})\cdot(15\,\text{m})

Converting the units:
P=(1000\,\text{kg/m}³)\cdot(9.81\,\text{m/s^^b2})\cdot(15\,\text{m})

Simplifying the expression:
P=147150\,\text{N/m}²

The hydrostatic pressure produced by a water column of 15m height is 147,150N/m².

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