An empty swimming pool with a square floor dimension has a volume of 3y 2 m3 . Given the weight of air in the swimming pool is about 500 N and the air density is 1.29 kg/m3 . (a) Find the length of the swimming pool’s floor, y. (b) Determine the force exerted by air on the floor of the swimming pool
Answer
Given data in question
Floor volume V=
Weight of air W=500N
Density
Now
a) length of the swimming pool’s floor, y
The weight can written as
So length of swimming pools floor
Putting all values
b) now force exerted by air on the floor of the swimming pool is given by
The equivalent of weight of air
F=W=500N.
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