In this photo, several thrill-seekers are ready to begin this wild ride. What many of them don’t know is the rotational motion that is happening on this ride. The shape of the ride is an oval so angular acceleration and velocity occur. As the ride begins to go around in circles, there is rotational inertia in the form of a hoop.
To the riders, it may seem as if they are going a million miles an hour, but we can actually calculate their velocity by using the formula delta theta over delta time.
And lastly, rotational kinetic energy is occurring too. The kinetic energy is what is driving the ride to go around in circles. The formula requires rotational inertia and angular velocity which both need to be large numbers so that the ride actually feels like a ride.
Physics by Mike 