- #1
Clark Smith
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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