221k views
2 votes
Determine the absolute pressure on the bottom of a swimming pool 27.0 m by 8.9 m whose uniform depth is 1.8 m . Express your answer using two significant figures.

User Calynr
by
7.4k points

1 Answer

5 votes

Answer:


P=17658Pa

Step-by-step explanation:

From the question we are told that:

Dimension


L*B=27.0*8.9

Depth
d=1.8m

Generally the equation for Volume of water is mathematically given by


V=L*B*D


V=27.0*8.9*1.8


V=432.54m^3

Therefore

Force at the bottom of the Pool


F=\rho Vg

Where


\rho \ density\ of \ water(1000kg/m^3)


F=1000*432.54m^3*9.81


F=4.2*10^(6)N

Generally the equation for Pressure at the bottom is mathematically given by


P=(Forece )/(Area)


P=(4.2*10^(6)N)/(27.0*8.9)


P=17658Pa

User Nnachefski
by
7.0k points