You want to design a pneumatic elevator that functions by pressurizing the area beneath the floor of the elevator. Assuming that the elevator is cylindrical in shape with a floor radius of 3 ft, how much pressure differential (the difference between p₁ and patm in psi) would be needed to lift 8 people with an average weight of 160 lbs each?

You want to design a pneumatic elevator that functions by pressurizing the area beneath the floor of the elevator. Assuming that the elevator is cylindrical in shape with a floor radius of 3 ft, how much pressure differential (the difference between p₁ and patm in psi) would be needed to lift 8 people with an average weight of 160 lbs each?