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?
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.
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.