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.