Question

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?

Answer 1

Answer:

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