Chapter 11.5, Problem 11.169P

At the bottom of a loop in the vertical plane, an airplane has a horizontal velocity of 315 mi/h and is speeding up at a rate of 10 ft/s². The radius of curvature of the loop is 1 mi. The plane is being tracked by radar at O. What are the recorded values of $\stackrel{\dot{}}{r}$, $\ddot{r}$, $\stackrel{\dot{}}{\theta }$ and $\ddot{\theta }$ for this instant?

Fig. P11.169