by **Galaxy** » Tue 12 April, 2011 17:55

we know that car has 4 tires. so the total weight has been distributed to each tire.

lets find how much pressure has been applied to each tire.

each tire has 16x14=224`cm^2` area.

so the pressure on one tire is `1/4` of the whole weight of the car so `1550/4=387.5kg`

we can see that we have 387.5kg per 224`cm^2` area of tire or `(387.5kg)/(224cm^2)`

Now we have to convert it to PSI (pounds per inch square).

because 224 is squared of a value so we have to take the root of it `sqrt224=14.96cm` now from conversion unit we know 1cm=0.3937in

so `14.96*0.3937=5.892in` so we have to square it to get the area `5.892^2=34.72\i\n^2`

from our original equation `(387.5kg)/(224cm^2)` we converted ` 224cm^2`to be 34.72 inch squared.

Now convert to 387.5kg to pounds so multiply it by 2.2 to get lb. (2.2)*387.5=854.29lb.

ok the pressure is `(854.29lb)/(34.72\i\n^2)=24.6`psi.

24.6psi is the pressure of the tire.