Chapter 4.1, Problem 2aT

Let & represent the initial angular velocity of a wheel. In each case described below, determine the magnitude of the change in angular velocity $\left|\Delta \stackrel{\to }{\omega }\right|$ in terms of $\left|{\stackrel{\to }{\omega }}_o\right|$ .

1. The wheel is made to spin faster, so that eventually, a fixed point on the wheel is going around twice as many times each second. (The axis of rotation is fixed.)
2. The wheel is made to spin at the same rate but in the opposite direction.