Chapter 6.7, Problem 109E

(a)

To determine

The polar equation of the model, using the given information as:

The center of Ferris Wheel lies at the pole of the polar coordinates and the passengers enter a car at $\left(30,-\frac{\pi }{2}\right)$ and it takes only 45 seconds to make a complete clockwise revolution.

(b)

To determine

To calculate: The coordinates after $15\sec .$ of revolution, using the given information as:

The center of Ferris Wheel lies at the pole of the polar coordinates and the passengers enter a car at $\left(30,-\frac{\pi }{2}\right)$ and it takes only 45seconds to make a complete clockwise revolution.

(c)

To determine

To calculate: The rectangular coordinates of point $\left(30,-\frac{7\pi }{6}\right)$ and interpret the answer.