A 1500-kg car rests on four tires, each of which is inflated to a gauge pressure of 200 kPa. If the four tires support the car's weight equally, what is the area of contact of each tire with the road? 423 c m 2 184 c m 2 842 c m 2 178 c m 2

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Answered question

2023-02-01

A 1500-kg car rests on four tires, each of which is inflated to a gauge pressure of 200 kPa. If the four tires support the car's weight equally, what is the area of contact of each tire with the road?
423

c m^{2}

184

c m^{2}

842

c m^{2}

178

c m^{2}

Answer & Explanation

mystarynighthb5

Beginner2023-02-02Added 4 answers

Through the concept of pressure, it can be determined that the area of each tire's contact with the ground is connected to the weight on each tire and the pressure within each tire. Since the four tires would evenly distribute the car's weight, Therefore, each of the four tires would respond normally in the same way. For one tyre:
A=1/4W / P(gauge)=mg / 4P(gauge)
A=(1500 kg)(9.81m/s^2) / 4(200000 Pa)=184 cm2

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