Question

(II) (a) Determine the total force and the absolute pressure on the bottom of a swimming pool 28.0 m by 8.5 m whose uniform depth is 1.8 m. (b) What will be the pressure against the side of the pool near the bottom?

Short answer

1. The absolute pressure at the bottom of the pool is 1.18 × 10⁵N/m² and the total force at the bottom is 2.8 × 10⁷ N.
2. The pressure on the side of the pool will also be the same as the pressure at the bottom.

Step-by-step solution

 The absolute pressure on a pool

In this problem, the absolute pressure can be calculated by applying the sum of gauge pressure and atmospheric pressure.

 Given the data

The depth of the pool is h = 1.8m.

The area of the pool is A= (28m) × (8.5m).

 Calculation of the absolute pressure and force on the bottom of the pool

 Calculation of the absolute pressure on the side of the pool

The pressure is not different for different directions. So the pressure will be the same as the pressure at the bottom.

The pressure on the side of the pool near the bottom is 1.18 × 10⁵ N/m²