Answer
a. $1.99\times10^{-7}\frac{rad}{s}$
b. $7.27\times10^{-5}\frac{rad}{s}$
Work Step by Step
a. $\omega = \frac{2 \pi \; rad}{3.16\times10^7 \; s}\approx1.99\times10^{-7}\frac{rad}{s}$
b. $\omega = \frac{2 \pi \; rad}{86400 \; s}\approx7.27\times10^{-5}\frac{rad}{s}$