Question

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.

Answer 1

Answer:

$P=17658Pa$

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

 $P=\frac{Forece }{Area}$

 $P=\frac{4.2*10^{6}N}{27.0*8.9}$

 $P=17658Pa$