There is no new physics here- we're still talking about constant acceleration, forces, and conservation of energy.  We will simply be using new terminology to describe the circular motion.  We just will be using a different kind of coordinate system.
 
 

• Typically we try to use radians whenever discussing circular motion. 
• Radians are unitless, so often will see speeds listed as sec^-1.

How would you solve this-
A car has a constant acceleration of 0.35 m/s².  If it starts from rest, how far does the car travel in 18 sec?  What is the car's speed at 18 sec?
 
 
 

No problem, right?  Okay, now try this one:

A wheel has a constant angular acceleration a= 0.35 rad/ sec².  It starts from rest with an arbitrary reference line horizontal, at angular position q_o=0.  What is the angular displacement of the reference line (and hence the wheel) at t= 18 sec?  What is the wheel's angular velocity at t= 18sec?