What is the Total Outward Force Exerted on a Pool's Vertical Wall?

[Clark Smith]

Homework Statement

An above-ground backyard swimming pool is shaped like a large hockey puck, with a circular bottom and a vertical wall forming its perimeter. The diameter of the pool is 5.2m and its depth is 1.4m. Find the total outward force exerted on the vertical wall of the pool.
Density of air: 1.29 kg/mcubed
Density of water: 1000 km/mcubed
Answer: (back of book) 160kN

Homework Equations

Buoyant Force = density of external fluid x gravity x volume
Volume = radius squared x pi x height

The Attempt at a Solution

Volume = (5.2/2)squared (pi) (1.4) = 29.732 mcubed
Buoyant Force = (1.29) (9.8) (29.732) = 375.872 N

Attempt 2, using water's density
Buoyant Force= (1000) (9.8) (29.732) = 291373.922 N

 

[Doc Al]

water pressure

This isn't a buoyant force problem. Instead, consider the force exerted by the water on the sides of the pool wall. What's the average water pressure? What's the surface area of the pool wall?