For a normal car riding on tires with relatively flexible sidewalls, the weight of the car is held up, in large measure, by the pressure of the air in the tires. If you look at one of your car’s tires you’ll note that the tire is flattened slightly to make a flat rectangle where it touches the ground. The area of the resulting “contact patch” depends on the pressure in the tires. To a good approximation, the upward normal force of the ground on this patch of the tire (which we can assume is equal to ¼ of the car’s weight) is equal to the downward pressure force on the patch. Suppose you inflate your 2,000 kg car’s tires to the recommended pressure, as measured by a gauge. The resulting contact patch is 18 cm wide and 12 cm long. What did the gauge read?
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