The weight of your 1400 kg car is supported equally by its four tires, each inflated to a gauge pressure of 35.0 lb/in^2. What is the area of contact each tire makes with the road? (answer must be in cm^2) What gauge pressure is required to give an area of contact of 125 cm^2 for each tire? (answer must be in lb/in^2)

Trace Glass 2022-10-17 Answered
The weight of your 1400 kg car is supported equally by its four tires, each inflated to a gauge pressure of 35.0 l b / i n 2 .
What is the area of contact each tire makes with the road? (answer must be in c m 2 ) What gauge pressure is required to give an area of contact of 125 c m 2 for each tire? (answer must be in l b / i n 2 )
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Answers (1)

Jimena Torres
Answered 2022-10-18 Author has 20 answers
Given
W = 1400 × 9.8 = 13720 N
gauge pressure = 35.0 l b / i n 2 .
in Pa = 35 × 6875 P a = P = 241.325 P a = 241325 Pa
Force on each type F = 13720 4 = 3430 N
P = F A
Hence area of Contact
A = F P = 3430 241325 = 0.014213 m 2
A = 1.4213 × 10 2 c m 2 A = 142.13 c m 2
b) If A = 125 c m 2 = 0.0125 m 2 P = F A = 3430 0.0125 = 274400 P a P = 274410 6895 = 39.797 l b / i n 2
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