Chapter 12.2, Problem 108E

(a)

To determine

To express: The region traced by the water through the channel as a set in polar coordinates.

(b)

To determine

To express: The region of inflow and outflow of the water through the channel as a set of polar coordinates.

(c)

To determine

To state: Whether the velocity at the point $\left(1.5,\frac{\pi }{4}\right)$ is greater than the velocity at point $\left(1.2,\frac{3\pi }{4}\right)$ with explanation.

(d)

To determine

To state: Whether the velocity at the $\left(1.8,\frac{\pi }{6}\right)$ is greater than the velocity at $\left(1.3,\frac{2\pi }{3}\right)$ with explanation.

(e)

To determine

To compare: The total flow through the channel using the equations in part (c) and (d).