A professor once told me this: if you could measure the area of contact between the tire and ground, and know the weight of the vehicle, you can know the air pressure in your tires by: # of tires x area of contact between tire and ground in inches, devided by the weight of the rig in lbs. So when a truck or trailer is loaded, there is more of the tire in contact with the ground, and less when unloaded, allowing for pressure to stay constant. The key is pressure is lbs/inch squared often noted psi.
Now to the original question, Im not sure, but perhaps the amount of work needed to change the pressure of a loaded tire 10psi is greater than to increase the pressure of the unloaded tire 10psi, which could be noted in time required.
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