A friend asks you how much pressure is in your car tires. You know that the tire

Question

A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends 30 psi, but it's beebn a while since you've checked. You can't find a tire gauge in the car, but you do find the owner's manual and a ruler. Fortunately, you've just finished taking physics, so you tell your friend, "I don't known, but I can figure it out" From the owner's manual you find that the car's mass is 1500 kg. It seems reasonable to assume that each tire supports one-fourth of the weight. With the ruler you find that the tires are 15 cm wide and the flattened a segment of the tire in contact with the road is 13 cm long. What answer will you give your friend? Express your answer using two significant figures.

Explanation / Answer

P= F/A = mg/A = (1500/4*9.8)/(0.15*0.13) = 1.88*10^5 Pa = 1.88*10^5 N/m^2

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