Answer
a) $\overline\omega =0.15rad/s$
b) $\overline\omega =-0.2rad/s$
c) $\overline\omega =-0.6rad/s$
d) $\overline\omega =0.4rad/s$
Work Step by Step
The average angular velocity is calculated by $$\overline\omega = \frac{\Delta\theta}{\Delta t}$$
a) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{0.75rad-0.45rad}{2s}=0.15rad/s$$
b) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{0.54rad-0.94rad}{2s}=-0.2rad/s$$
c) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{4.2rad-5.4rad}{2s}=-0.6rad/s$$
d) $$\overline\omega = \frac{\Delta\theta}{\Delta t}=\frac{3.8rad-3rad}{2s}=0.4rad/s$$
