The weight of a 1420 kg car is supported equally by its four tires, each inflated to a gauge pressure of 35 psi. (a) determine the area of contact each tire makes with the road. (b) if the gauge pressure in the tires is increased, does the area of contact increase, decrease, or stay the same. (c) calculate the necessary gauge pressure in the tires to give an area of contact of 116 cm2 for each tire.

a.  

b. decrease

c. 43.5psi

Explanation:

a.  

Explanation:

from the questions, the car has four tires which support the weight equally.we can conclude that the weight support by each tire is

weight support of each tire =1420/4=355kg.

a. since

we need to determine the force,

the "g" is the acceleration due to gravity which has a constant value of

hence the force on each tire is

Also, since the pressure is giving in psi, we have to convert it to pascal

since 1psi=6895pascal

hence 35psi to pascal is

.

From the expression for pressure

we have

to cm we multiply by

b. The effect of the pressure can be determine from the relationship between the pressure and the area using the pressure formula

hence an increase in the pressure will lead to a decrease in  the contact Area

C. if the area ia now converting to meter square

the pressure now is

converting to psi we have