The manufacturer\'s sticker on a car door panel says that themass of the car is

Question

The manufacturer's sticker on a car door panel says that themass of the car is 1550 kg and the tires should be inflated to agauge pressure of 206.8 kPa (30 psi).
What is the area of each tire that is in contact withthe ground if all four tires are inflated according to themanufacturer's specification? Assume that the weight of the car isevenly distributed among the four tires. The manufacturer's sticker on a car door panel says that themass of the car is 1550 kg and the tires should be inflated to agauge pressure of 206.8 kPa (30 psi).
What is the area of each tire that is in contact withthe ground if all four tires are inflated according to themanufacturer's specification? Assume that the weight of the car isevenly distributed among the four tires.

Explanation / Answer

mass m =1550 kg gauge pressure P = 206.8 kPa Absolute pressure P ' = P + atmosphericpressure                                  = 206.8 kPa + 101.3 kPa                                  = 308.1 kPa                                  = 308.1 * 10 ^ 3 Pa force on four tires F = mg                                = 1550 * 9.8                                 =15190 N So, force on each tire F ' = F / 4                                      = 3797.5 N we know area on each tire A = F ' / P '                                              = 0.0123 m ^ 2

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