Problem 15.35 A friend asks you how much pressure is in your car tires. You know

Question

Problem 15.35 A friend asks you how much pressure is in your car tires. You know that the tire manufacturer recommends 30 psi, but it's been 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 know, but I can figure it out." From the owner's manual you find that the car's mass is 1600 . It seems reasonable to assume that each tire supports one-fourth of the weight. With the ruler you find that the tires are 13 wide and the flattened segment of the tire in contact with the road is 13 long. Part A What answer will you give your friend? Express your answer to two significant figures and include the appropriate units.

Explanation / Answer

so clearly it seems that area in contact is 15x13 cm2= 195 cm2 = 195x10-4 m2

force = 1500/4 = 375kg

hence pressure = force / area = 375/195x10-4 = 19230.8 pascals

=27.8 psi

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