Answer:
Geocentric model of the universe
Explanation:
In the geocentric model of the universe, the earth is the center of the universe. This theory was later replaced by the heliocentric model which places the sun as the center.
This belief was propagated by the ancient Greeks. The geocentric model of the universe was proposed by Ptolemy.
The model suggests that other planetary bodies orbits the earth.
...the potential energy that you build while going up the hill on the roller coaster could be let go as kinetic energy -- the energy of motion that takes you down the hill of the roller coaster.
The gravitational potential energy U is defined as the product of mass m, the acceleration of gravity g and the height of object h.

We do not have the mass of the hiker. But we know that its W weight is:

Where

So:
.
So:

J
The hiker has gained 30,000 J of energy
The equivalent of Newton's second law for rotational objects is given by:

where

is the net torque acting on the object

is its moment of inertia

is its angular acceleration
For a hoop rotating around its perpendicular axis, the moment of inertia is

where m is the mass and r the radius. By using the data of the wheel, m=0.750 kg and r=33.0 cm=0.33 m, we find

and since the torque is

, the angular acceleration of the wheel is