Chapter 14.2, Problem 9PP

To determine

The area of the car’s tire which is in contact with the road.

Answer to Problem 9PP

The area of car’s tire is $0.0789{\text{m}}^2$ .

Explanation of Solution

Given info:

Weight of the car, $F=15000\text{N}$

Pressure inside the tire, $P=190\text{kPa}$

Formula Used:

Write the expression to calculate the area of the car’s tire.

  $A=\frac{F}{P}$

Where,

• The area is $A$ .

Calculation:

Consider the conversion factor.

  $\begin{array}{c}190\text{kPa}=190\text{kPa}\times \frac{1000\text{N}/{\text{m}}^2}{1\text{kPa}}\\ =1.90\times {10}^5\text{N}/{\text{m}}^2\end{array}$

Substitute all the values in the above expression.

  $\begin{array}{c}A=\frac{15000\text{N}}{1.90\times {10}^5\text{N}/{\text{m}}^2}\\ =0.0789{\text{m}}^2\end{array}$

Conclusion:

Thus, the area of car’s tire is $0.0789{\text{m}}^2$ .