Chapter 6.2, Problem 13PP

To determine

Radius of the circular path.

Answer to Problem 13PP

  $8080.2\text{ m}$

Explanation of Solution

Given:

Velocity of airplane, $v=201\text{ m/s}$

Centripetal acceleration, $a_c=5{\text{ m/s}}^2$

Formula used:

Centripetal acceleration:

  $a_c=\frac{v^2}{r}$

Here, v is the velocity and r is radius.

Calculation:

Substitute values and solve:

  $\begin{array}{l}5=\frac{{201}^2}{r}\\ r=\frac{{201}^2}{5}\\ r=8080.2\text{ m}\end{array}$

Conclusion:

Therefore, radius of the circular path is 8080.2 m.