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

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In summary, the conversation discusses the calculation of the surface area needed to lift a 1000kg vehicle with a hydraulic lift using atmospheric pressure. The correct answer is 9,682.10-2 m^2, which takes into account the force of gravity acting on the platform.
  • #1
Nanu Nana
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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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  • #2
It's always a hint when your answer is off by very close to a factor of two.
 
  • #3
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
 
  • #4
What would be the net force produced using a closed cylinder containing air at atmospheric pressure?
 
  • #5
Nanu Nana said:
I don't understand
Is there a vacuum above the car and the platform it stands on?
 
  • #6
haruspex said:
Is there a vacuum above the car and the platform it stands on?
No there is no vacuum
 
  • #7
Nanu Nana said:
No there is no vacuum
Right. So what force have you overlooked?
 
  • #8
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
 
  • #9
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?
 

What is the formula for calculating pressure?

The formula for calculating pressure is pressure = force/area. In this case, the force would be the weight of the car (1000kg) and the area would be the surface area of the car lift.

How do I convert atmospheric pressure to overpressure?

To convert atmospheric pressure to overpressure, you would subtract the normal atmospheric pressure (1 atm) from the overpressure. In this case, the overpressure would be 1 atm because it is given that there is 1 atm of overpressure.

What are the units of pressure used in this problem?

The units of pressure used in this problem are typically expressed in pascals (Pa). However, other common units of pressure include atmospheres (atm), pounds per square inch (psi), and bar (bar).

What safety precautions should be taken when working with high pressure systems?

When working with high pressure systems, it is important to wear appropriate protective gear such as safety goggles and gloves. It is also crucial to regularly inspect and maintain the equipment, and to follow proper handling and operation procedures to prevent accidents and injuries.

How does pressure affect the lifting capacity of a car lift?

The higher the pressure, the greater the lifting capacity of a car lift. This is because an increase in pressure means there is a larger force acting on the surface area of the lift, allowing it to support a heavier weight. However, it is important to note that the structural integrity of the lift must also be taken into consideration when determining its maximum lifting capacity.

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