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?

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  1. 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

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  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.

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  3. mass= 69278259.6kg

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