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

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To lift a 1000kg vehicle with a 1 atm overpressure using a hydraulic lift, the required surface area is calculated using the formula P = F/A, where the absolute pressure is the sum of atmospheric and relative pressure. The initial calculation yielded an area of 0.04840 m², but the correct answer should be approximately 9.68 x 10^-2 m², indicating a potential oversight in the net force consideration. The discussion highlights the importance of recognizing all forces acting on the platform, particularly the force of gravity. Clarification was sought regarding whether a vacuum exists above the car, which it does not, emphasizing the need to account for atmospheric pressure in the calculations. Understanding these principles is crucial for accurate hydraulic lift design and operation.
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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?
 
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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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