Question

A car weighs 15,000 N, and its tires are inflated to a pressure of 190 kPa.How large is the area of the car's tires that are in contact with the road?

Answer 1

Answer :
`A = 0.07895\ m^(2)`

Explanation :

Given that,

Weight = 15000 N

Pressure = 190 kPa

We knows, pressure is defined as force acting per unit area.

In mathematical term

`P = (F)/(A)\ Pascal`

Now, the area of the car's tires that are in contact with the road is

`A = \frac {1500\ N}{190*10^(3)\ Pa}\ m^(2)`

`A = 0.07895\ m^(2)`

Hence, this is the required solution.

Answer 2

Pressure is the force applied perpendicular to a surface divided by the area of the surface. Therefore, from the given values, we can easily calculate the area by dividing the force to the pressure. We do as follows:

Area = F / P
Area = 15000 / 190000
Area = 0.0789 m^2

Hope this answers the question. Have a nice day.