Question

Determine the absolute pressure on the bottom of a swimming pool 30.0 m by 8.7 m whose uniform depth is 1.8 m .

Answer 1

The absolute pressure at the bottom is 118983 pascals

Step-by-step explanation:

The absolute pressure of on a fluid is:

`P_(abs)=P_(gauge)+P_(atm)` (1)

with Patm the atmospheric pressure and Pgauge the pressure due the depth on the fluid that is :

`P_(gauge)=\rho gh` (2)

With g the gravity acceleration, ρ the fluid density and h the depth, using (2) on (1):

`P_(abs)=\rho gh+P_(atm)`

A fast searching on physics books or websites you can find that g=9.81
`(m)/(s^(2))`, ρ=1000
`(kg)/(m^(3))` for water and Patm=101325Pa , so:

`P_(abs)=(1000)(9.81)(1.8)+(101325)`

`P_(abs)=118983Pa`