The Ferris wheel is an amusement park ride that is a lot like the carousel. It also resembles a bicycle wheel, with gears, as well as motors, running it.

Gears and motors pull the cars connected to a hinge of a Ferris wheel up into air and gravity pulls it down. By the force of gears, motors, and gravity; the car doesn't flip over and dump you out of the car. Gears can do a few things that make it useful for us to use. They can transfer energy from place to place, as well as make the power of something increase immensely by a power ratio/gear ratio. On the top of a Ferris wheel, you feel a force pushing you outward, centripetal force, due to inertia and Newton's first law. Which basically says that an object has a tendency to stay in the same motion it was traveling. But you don't experience a great acceleration on the top because your weight pushes toward the center of rotation, canceling some of the force pushing you outward. These forces canceling out is explained with Newton's third law: "For every action, there is an equal and opposite reaction".

When you reach the bottom of the Ferris wheel, the ride becomes a little more exciting due to that fact that both those forces, rotation and weight, combine to result in a greater acceleration.

The force that pushes you outward can be increased by two ways. By making the radius of the wheel smaller or by increasing the speed of circular motion.

Also momentum is involved. With more velocity or mass, the harder it will be to change the momentum of an object. This is called conservation of momentum, giving us the equation:

    momentum=mass*velocity

                (p=mv).

For more equations you can look into Carousels, they are similar due to the fact that they are rides that rotate.