Solve Pressure Problem: Car Lift of 1000kg, 1atm Overpressure

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Homework Help Overview

The problem involves determining the surface area required for a hydraulic lift to support a car weighing 1000 kg under an overpressure of 1 atm. The context is centered around pressure calculations and the forces acting on the lift system.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants discuss the relationship between absolute pressure, atmospheric pressure, and the force exerted by the car. There are attempts to calculate the necessary area based on these pressures. Questions arise regarding the presence of a vacuum and the net forces acting on the lift.

Discussion Status

The discussion is ongoing, with participants exploring various interpretations of the forces involved. Some guidance has been offered regarding potential oversights in the calculations, particularly concerning the forces acting on the platform.

Contextual Notes

Participants are questioning the assumptions about the system, particularly regarding the presence of a vacuum and how it affects the calculations. There is also a noted discrepancy in the expected answer, suggesting a potential misunderstanding of the problem setup.

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Homework Statement


A car is put into a garage higher by a hydraulic lift. How large should be the surface on which the vehicle rest if you to lift a vehicle of 1000kg higher with overpressure of 1 atm?

Homework Equations


[/B]
Pabsolue pressure = P atmos + P relative
P=F/A
F=m xa

The Attempt at a Solution


P absolute = 101325 Pa +101325 pa
1000kg x9.81 m/s^2 / (A) = 202650
1000kg x 9.81 =202650A
A= 1000x9.81 /202650
A=0.04840 m^2

But the answer should be 9,682.10-2 m 2
 
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It's always a hint when your answer is off by very close to a factor of two.
 
Dr. Courtney said:
It's always a hint when your answer is off by very close to a factor of two.
I don't understand
 
What would be the net force produced using a closed cylinder containing air at atmospheric pressure?
 
Nanu Nana said:
I don't understand
Is there a vacuum above the car and the platform it stands on?
 
haruspex said:
Is there a vacuum above the car and the platform it stands on?
No there is no vacuum
 
Nanu Nana said:
No there is no vacuum
Right. So what force have you overlooked?
 
Dr. Courtney said:
It's always a hint when your answer is off by very close to a factor of two.
Thank you for helpful videos
 
Force of gravity?
 
  • #10
Nanu Nana said:
Force of gravity?
What force is acting on the platform that would not act on it under a vacuum?
 

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