A 1200-kg car is supported equally by the four tires,which are inflated to the same gauge pressure.What gauge pressure is required so the area of contact of each tire with the road is 100 cm²?

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Quizplus · Accepted Answer

The total force exerted by the four tires is equal to the weight of the car:$$F = mg = (1200 	ext{ kg})(9.8 	ext{ m/s}^2) = 11760 	ext{ N}$$The area of contact of each tire is:$$A = 100 	ext{ cm}^2 = 0.01 	ext{ m}^2$$The gauge pressure is:$$P = \frac{F}{A} = \frac{11760 	ext{ N}}{0.01 	ext{ m}^2} = 1.176 	imes 10^6 	ext{ Pa}$$The gauge pressure is 1.176 × 10^6 Pa, which is closest to 2.9 × 10^5 Pa.

A 1200-Kg Car Is Supported Equally by the Four Tires,which