A Mouse Hanging on to the End of the Windmill $x=A \cos (k t), y=A \sin (k t)$

Short Answer

A mouse hanging on to the end of the windmill blade shown below has coordinates given by $x=A \cos (k t), y=A \sin (k t)$ , where the origin is at the center of the blades, $x$ and $y$ are in meters, and $t$ is in seconds. The blades are 7 meters long and the windmill makes one complete revolution every 32 seconds in a counterclockwise direction. The mouse starts in the 3 o'clock position and, 4 seconds later, loses its hold and flies off. What is $k$ ? Round to 2 decimal places.