Answer
a. $1.05\times10^{-1}\frac{rad}{s}$
b. $1.75\times10^{-3}\frac{rad}{s}$
c. $1.45\times10^{-4}\frac{rad}{s}$
d. $0$
Work Step by Step
a. $\omega = \frac{2 \pi \; rad}{60 \; s}= \frac{\pi}{30}\frac {rad}{s}\approx1.05\times10^{-1}\frac{rad}{s}$
b. $\omega = \frac{2 \pi \; rad}{3600 \; s}= \frac{\pi}{1800}\frac {rad}{s}\approx1.75\times10^{-3}\frac{rad}{s}$
c. $\omega = \frac{2 \pi \; rad}{43200 \; s}= \frac{\pi}{21600}\frac {rad}{s}\approx1.45\times10^{-4}\frac{rad}{s}$
d. The angular acceleration is zero because the angular velocity is constant.