Chapter 4.1, Problem 2bT

Suppose the wheel slows down uniformly, so that $\left|\stackrel{\to }{\omega }\right|$ decreases by $8\pi \text{rad/s}$ every 4 s. (The wheel continues spinning in the same direction and has the same orientation.)

Specify the angular acceleration $\stackrel{\to }{a}$ of the wheel by giving its magnitude and, relative to $\stackrel{\to }{\omega }$ , its direction.

In linear kinematics we find the acceleration vector by first Constructing a change in velocity vector $\stackrel{\to }{\upsilon }$ and then dividing that by $\Delta t$ . Describe the analogous steps that you used above to find the angular acceleration $\stackrel{\to }{\alpha }$ .