The maximum gauge pressure in a hydraulic lift is 19.0 atm. What is the largest size vehicle (kg) it can lift if the diameter of the output line is 32.0 cm?

3 answers

figure not the gauge pressure, but the pressure absolute in the tire, that is what is pressing on the lift.

absolute pressure*areaofcontact= lift

figure area of contact: PI *radius^2
First conver atm to N/m^2. 1 atm = 1.013 x10^5 N/m^2.
Force F=mg
The pressure is the force, gravity is 9.8 m/s^2, the diameter is in centimeters, so convert to meters and take half, you don't know m (mass).
The formula you use is P = F/A.

So you will have a formula that looks like

P = m (9.8 m/s^2) / radius

Plug in your numbers and the result will be in kg, which is the weight that can be lifted.
mass= 69278259.6kg