When a swimming pool is filled with water, the force due to the water alone can be calculated using the principles of fluid pressure. Let's break it down:
Force on the bottom:
To calculate the force on the bottom of the swimming pool, we need to consider the weight of the water above it. The weight of the water can be calculated using the density of water (62.4 lb/ft³) and the volume of water in the pool (80 ft × 30 ft × 8.0 ft). Multiplying these values will give us the force exerted by the water on the bottom of the pool.
Force on the ends:
The force on the ends of the swimming pool can be calculated by considering the pressure exerted by the water at those points. Pressure is force per unit area, so we need to calculate the pressure exerted by the water at the ends of the pool and then multiply it by the surface area of the ends to get the total force.
Force on the sides:
Similar to the force on the ends, the force on the sides of the swimming pool can be calculated by considering the pressure exerted by the water along the sides. We calculate the pressure at the sides and then multiply it by the surface area of the sides to determine the total force.
Atmospheric pressure:
When considering whether or not the concrete walls of the swimming pool will collapse, it is important to take into account the atmospheric pressure. The atmospheric pressure acts on all surfaces exposed to the air, including the outside walls of the pool. The difference in pressure between the inside and outside of the pool can affect the stability of the walls, especially if the pool is empty or partially filled.
By calculating the forces exerted by the water on the bottom, ends, and sides of the pool, as well as considering the atmospheric pressure, we can better understand the structural integrity of the swimming pool and ensure its safety.
