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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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  )

Jimena Torres · Accepted Answer

Given   W  =  1400  ×  9.8  =  13720  Ngauge pressure   =  35.0  l  b      /    i      n    2    .in Pa =  35  ×  6875  P  a  =    P  =  241.325  P  a  =  241325  PaForce 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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