1. The manufacturer-recommended pressure of air in the tires of US passenger cars is typically 30 psi (gauge). (a) Find the absolute pressure of the air inside tires and express it in mmHg, kPa, and atm. Assume normal atmospheric pressure of 760 mmHg. (Answers: 2311 mmHg, 308.2 kPa, and 3.04 atm) (b) The density of air is usually proportional to absolute pressure as long as the temperature remains the same (in accordance with the ideal gas law). Assuming that is the case, how much denser (in percent) is the air inside the tire relative to the outside of the tire? The density of ambient air at normal conditions (760 mmHg, 20C) is 1.2 kg/m3 . (Answer: 204%) (c) Consider a fully deflated tire/wheel assembly with a weight of 100 Newtons. How much heavier (in percent) will this tire get after it is pumped up with air to the manufacturer- recommended pressure? Assume that the volume of the tire is 20 liters and remains approximately constant during the inflation. (Answer: 0.5%)