Question

Part A 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 . Express your answer using two significant figures. P

Answer 1

17.66 kPa

Step-by-step explanation:

The volume of water in the swimming pool is the product of its dimensions

V = 30 * 8.7 * 1.8 = 469.8 cubic meters

Let water density
`\rho = 1000 kg/m^3`, and g = 9.81 m/s2 we can calculate the total weight of water in the swimming pool

`W = mg = \rho V g = 1000 * 469.8 * 9.81 = 4608738 N`

The area of the bottom

A = 30 * 8.7 = 261 square meters

Therefore the pressure is its force over unit area

`P = F/A = 4608738  / 261 = 17658 N/m^2` or 17.66 kPa