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

$P = \dfrac{F}{A}\ Pascal$

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

$A = \dfrac {1500\ N}{190\times10^{3}\ Pa}\ m^{2}$

$A = 0.07895\ m^{2}$

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.