Answer
$\omega=7.27 \times 10^{-5} rad/s$
Work Step by Step
We can determine the required angular speed as follows:
$\omega=\frac{2\pi}{T}$
We plug in the known values to obtain:
$\omega=\frac{2\pi}{24\times 3600s}$
$\omega=7.27\times 10^{-5}rad/s$