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Question:

car lift in a gas station physics?

The car lift in a gas station operates with an air pressure of 2000 kPa. The piston of the car lift has a diameter of 30 cm. What is the mass of the largest car that the lift can raise??please help, thanks

Answer:

I would not. Microwaves and ovens use very different types of heat so what might be microwave safe is not necessarily oven safe and vice-versa.
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The area of the piston is A PI*r^2 3.14*(0.15^2) 0.07 m^2. Pressure Force/Area Force P*A 2000000 * 0.07 140000 N. Weight mg mass W/g 140000/9.8 14286 kg
The previous respondents have done the math that tells you that the lift could hold up a car of about 14,400 kg. But that's not the same as how much the lift can raise, since the math above has only solved for the equilibrium condition (car held up, but not moving up). To raise something (do work), the force from the pneumatic ram has to be GREATER than the weight of the car; you need a net upward force to accelerate the car upwards. So when you ask what is the largest mass that the lift can raise, in order to have a practical answer you need to consider how quickly do you need the car raised and work out the good old Fma equation. If you were designing a car lift, this is what you would really need to think about, not just equilibrium. And don't forget friction, unless you've been asked to ignore it for now! :-) Also, this is an application where hydraulics are used, not compressed air. The incompressibility of oil offers a huge safety advantage.
An answer Can Be Easily Calculated, but The Information Here Has Problems, See Boyle's Law.

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