A very powerful vacuum cleaner has a hose 2.86 cm in diameter. with the end of the hose placed perpendicularly on the flat face of a brick, what is the weight of the heaviest brick that the cleaner can lift?

F = 75.49 N

Explanation:

given,

atmospheric pressure Po = 1 atm

Po = 101325 Pa

diameter = 3.08 cm,

radius = 1.54 cm

1 cm = 0.01 m

1.54 cm = 0.0154 m

Force = Pressure x area

area = π r²

Force = 101325 Pa x π x 0.0154 x 0.0154

F = 75.49 N

Weight of the heaviest brick that the cleaner can lift is F = 75.49 N