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? J 1

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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 \( p_1 \) and \( p_{\text{atm}} \) in psi) would be needed to lift 8 people with an average weight of 160 lbs each?

There is a diagram showing a vertical line labeled \( p_1 \) which represents the pressure differential needed for the elevator.
Transcribed Image Text: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 \( p_1 \) and \( p_{\text{atm}} \) in psi) would be needed to lift 8 people with an average weight of 160 lbs each? There is a diagram showing a vertical line labeled \( p_1 \) which represents the pressure differential needed for the elevator.
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