# Cycloid Animation!

- Author:
- Tim Brzezinski

- Topic:
- Area, Derivative, Equations, Parametric Curves

Suppose point

*A*lies on a tire. At*t*= 0,*A*is on the ground. After the stopwatch starts, the tire starts turning to the right. The path that point*A*takes as the wheel spins is called a**cycloid**. The applet below shows two complete turns of such a wheel of variable radius. (You can set this radius using the**RADIUS**slider.) You can also adjust the speed at which the wheel turns with the**SPEED**slider. Interact with the applet below for a few minutes. Then, answer the questions in your*packet.***Calculus with Parametric Curves**